It's very simple, check below: 6÷2(1+2) = 1 6÷2x(1+2) = 9 Understand the importance and difference of "brackets" and "multiply". Bracket is the multiplication of inner number with the outside number right before it. And then any other calculation would be implied. 2(3) must be calculated first before doing other calculations. But if there was 2x3 instead of 2(3), then 2x3 would be treated amongst the whole string of calculation. 240÷2÷3÷4x2, every number would be treated separatley like 240 x 1/2 x1/3 x 1/4 x 2 = 20 But if the expression is like 240÷2÷3÷4(2) then it will be done like this 240 ÷ 2 ÷ 3 ÷ (4x2) = 240 ÷ 2 ÷ 3 ÷ 8 = 240 x 1/2 x 1/3 x 1/8 = 5
The choice of left-to-right sequencing in the order of operations is somewhat arbitrary, and it has more to do with convention and consistency rather than any inherent mathematical property. The convention of left-to-right sequencing has been widely adopted to provide a standard and consistent way to interpret mathematical expressions. This convention allows people around the world to follow the same set of rules when performing calculations, which is crucial for clear communication and understanding. If a different convention, such as right-to-left, were chosen, it would still be valid as long as everyone agreed on it. However, consistency across education systems, textbooks, and mathematical communication is essential for effective teaching and problem-solving. The left-to-right convention has become the standard in the English-speaking world and many other regions, contributing to a universal understanding of mathematical expressions. In summary, the choice of left-to-right sequencing in the order of operations is a matter of convention and practicality to ensure consistent interpretation of mathematical expressions across different contexts and audiences.
In the given expression, the parentheses around 2 indicate that the multiplication should be performed first. Therefore, we have: 2 240 ÷ 4 3 ⋅2= 4 3
120 ⋅2 Then, we simplify the fraction and perform the multiplication and division operations according to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
@@gamesshuffler-v8n implicit multiplication doesn't mean grouping. It never did. The rule says to evaluate from left to right when the priority is equal (of division and multiplication or of addition and subtraction)
I may be wrong but - When any expression is written like a(b+c), without any apparent sign between "a" and (b+c) , it means "a" is a common factor taken out of the initial expression (ab+ac). So in the expression 6÷2(1+2) , 2(1+2) is actually an outcome of ( 2×1 + 2×2 ) which is 6. And dividing 6 by 6 we get the answer 1. Please point out if i am mistaken.
Yes this is an example of implied multiplication, which used to take precedence over normal multiplication UNTIL 1920's. Now, the rule has been changed where multiplication is same as implied multiplication
@@saumitchandhok5730 okay. Let me put it another way. Suppose we have the initial expression: 6 ÷ (2+4)(It is 6÷6, which will amount to 1.) We can write 6 ÷ (2+4) as 6 ÷ 2(1+2). Now is it correct to go left to right?
@@anandkrishna8279 That is part of the problem The expression is completely valid, but people are not used to seeing it, so they don't always know how to approach it.
1 is the correct answer here, because there is no multiplication sign between 2 and (1+2) which works as a invisible parenthesis on the two values i.e. 6 ÷ (2 (1 + 2)). If there was a multiplication sign the sum would look as 6 ÷ 2 * 3, where 9 would have been the correct answer.
@@Manu.883 as I am a Software Developer. We don’t use curly braces for mathematical Calculations. Curly braces have different meaning and properties in coding. So from my perspective I used parenthesis.
Prior to 1917 some text book printing companies pushed the use of the obelus in a manner similar to the vinculum because the vinculum took up too much vertical page space, was difficult to type set and more costly to print with the printing methods at that time. However, this was in direct conflict with the Order of Operations and the various properties and axioms of math that were established in the early 1600's when Algebraic notation was being developed in order to eliminate ambiguity and to minimize the unnecessary and excessive use of parentheses so the ERROR was corrected post 1917. This attempt by the text book printing industry to save time and money was wrong and the ERROR means that 1 is not and has never been the correct answer... Furthermore, the biggest mistake that people make is incorrectly comparing 6÷2(1+2) as 6÷2y. This is an inaccurate comparison... 6÷2(1+2) does not Algebraically equate to 6÷2y it correctly equates to y(1+2) where y is equal to the Monomial Factor of the TERM outside the parentheses. 6÷2 is juxstaposed to the parentheses as a whole not just the numeral 2 All variables have a coefficient. Constants can be coefficients but constants do not have coefficients. There are no coefficients in this expression... 6÷2y the coefficient of y is 2 BUT 6÷2(a+b) the coefficient of a and b is 3 not 2 Many people confuse and conflate an Algebraic Convention (special relationship) between a variable and its coefficient that are directly prefixed (juxstaposed) and forms a composite quantity by this convention to Parenthetical Implicit Multiplication... They are not the same thing... Convention doesn't trump LAW and the Distributive Property is a LAW. 6/2y = 6/(2y) = 3/y by Algebraic Convention BUT 6/2(y)= 3y by the Distributive Property... ABC/ABD = C/D by Algebraic Convention ABC/AB(D) = CD by the Distributive Property 6/2(a+b)= 3a+3b not 6/(2a+2b) The Distributive Property is a PROPERTY of Multiplication, NOT Parenthetical Implicit Multiplication, and as such has the same priority as Multiplication... The Distributive Property does NOT change or cease to exist because of parenthetical implicit multiplication.... Multiplication does not have priority over Division they share equal priority and can be evaluated equally from left to right.... The Distributive Property, when FULLY applied, is an act of ELIMINATING the need for parentheses by drawing the TERMS inside the parentheses out not by drawing factors in. The Distributive Property, when FULLY applied, REQUIRES you to multiply all the TERMS inside the parentheses with the TERM or TERM value i.e Monomial factor of the TERM outside the parentheses not just the numeral next to it... TERMS are separated by addition and subtraction not multiplication or division... 6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2 FURTHERMORE people misunderstand Parenthetical Priority... The rule is to evaluate OPERATIONS INSIDE the symbol as a priority before joining the rest of the expression outside the symbol. It does NOT literally mean that the parentheses have to be evaluated BEFORE anything else in the expression can be done... A(B+C)= AB+AC where A is equal to the TERM VALUE i.e. monomial factor outside the parentheses not just the factor next to it... A=6÷2 = 3 Monomial factor B= 1 C= 2 6÷2(1+2)= 6÷2×1+6÷2×2 no parentheses required 3×1+3×2= 3+6= 9 You can't factor a denominator without maintaining all operations of that factorization WITHIN a grouping symbol. You can factor out LIKE TERMS from an expanded expression. 6÷2×1+6÷2×2= 6÷2(1+2) as the LIKE TERM 6÷2 was factored out of the expanded expression..... When a constant, variable or TERM is placed next to parentheses without an explicit operator the OPERATOR is an implicit multiplication symbol meaning you multiply the constant, variable or TERM with the value of the parentheses. TERMS are separated by addition and subtraction not multiplication or division. 6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2 6÷2(1+2)= 3(1+2) no rules have been broken 2×2×4(a+b) partial Distribution 2×2(4a+4b) However the TERM outside the parentheses when simplified equals 16 and 16(a+b) 2×2(4a+4b)= 2(8a+8b)= 16a+16b which is the same as 16(a+b) 2×2×4(a+b) when fully Distributed is 2×2×4×a+2×2×4×b and the LIKE TERMS can be factored out of the expanded expression. The LIKE TERMS being 2×2×4 So... 2×2×4(a+b) 6÷2×1+6÷2×2+6÷2×3-6÷2×4= 6÷2(1+2+3-4) as the LIKE TERM 6÷2 was factored out of the expanded expression... Let y = 0.5 6y(1+2)=? 6y*1+6y*2= ? 6/y⁻¹*1+6/y⁻¹*2= ? If you answered 9 to all three algebraic expressions then it would be ILLOGICAL and INCONSISTENT as well as hypocritical to say that 6/y⁻¹(1+2) doesn't also equal 9. The rules of maths have to remain logical and consistent across the board.
Wait If 2 is out of bracket which means its common factor of 1 and 2 inside bracket so it can be also written as 6÷(2×1+2×2) . Now after taking out 2 from bracket we get the question. Thus 6÷(2×1+2×2) is also the same thing. 6÷(6) =1 According to me BODMAS where O stands for Order which comes before division so 1 might be actually correct
Equation can be put into words : I have 6 mangoes... I have to divide it among my neighbours... Left neighbour is a single mother... Right neighbour is a Couple (1+2)... They have a total of 3 children among them... 2(1+2) Now if I divide 6 mangoes among them 6÷2(1+2)... Will each one get 1 mango each or 9 mango each... It should be 1... Atleast that's how I see this problem..
2(3) ÷ 6 = 1 Now, Is it correct? As You have taught us. According to BODMAS and PEMDAS, if there were both operations [×÷] then, the priority of both will be same & We will have to approach from left to right.
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
Please attention, everyone read carefully The correct answer depends on the interpretation of the expression. In standard mathematical notation and following the order of operations (PEMDAS/BODMAS), the result is 9: \[6 ÷ 2(1 + 2) = \frac{6}{2} \times (1 + 2) = 3 \times 3 = 9.\] However, if the expression is intended to be \(\frac{6}{2(1 + 2)}\), with the division happening after the multiplication inside the parentheses, then the result is 1: \[\frac{6}{2(1 + 2)} = \frac{6}{2 \times 3} = \frac{6}{6} = 1.\] To avoid ambiguity, it's crucial to use parentheses to clarify the intended order of operations.
6÷2(3)implies we have to divide 6 by 2 3s.Here 2and 3 are integral meaning 2 of 3s.Hence following BODMAS pattern we should divide 6 by 6 to get the correct answer 1.
@@jyotiprakashchowdhury7252These mathematical problems are good pass time for kids. But in the end maths is a tool. What you want to divide by how much must be known to you in real life😅
@@jyotiprakashchowdhury7252 Prior to 1917 some text book printing companies pushed the use of the obelus in a manner similar to the vinculum because the vinculum took up too much vertical page space, was difficult to type set and more costly to print with the printing methods at that time. However, this was in direct conflict with the Order of Operations and the various properties and axioms of math that were established in the early 1600's when Algebraic notation was being developed in order to eliminate ambiguity and to minimize the unnecessary and excessive use of parentheses so the ERROR was corrected post 1917. This attempt by the text book printing industry to save time and money was wrong and the ERROR means that 1 is not and has never been the correct answer... Furthermore, the biggest mistake that people make is incorrectly comparing 6÷2(1+2) as 6÷2y. This is an inaccurate comparison... 6÷2(1+2) does not Algebraically equate to 6÷2y it correctly equates to y(1+2) where y is equal to the Monomial Factor of the TERM outside the parentheses. 6÷2 is juxstaposed to the parentheses as a whole not just the numeral 2 All variables have a coefficient. Constants can be coefficients but constants do not have coefficients. There are no coefficients in this expression... 6÷2y the coefficient of y is 2 BUT 6÷2(a+b) the coefficient of a and b is 3 not 2 Many people confuse and conflate an Algebraic Convention (special relationship) between a variable and its coefficient that are directly prefixed (juxstaposed) and forms a composite quantity by this convention to Parenthetical Implicit Multiplication... They are not the same thing... Convention doesn't trump LAW and the Distributive Property is a LAW. 6/2y = 6/(2y) = 3/y by Algebraic Convention BUT 6/2(y)= 3y by the Distributive Property... ABC/ABD = C/D by Algebraic Convention ABC/AB(D) = CD by the Distributive Property 6/2(a+b)= 3a+3b not 6/(2a+2b) The Distributive Property is a PROPERTY of Multiplication, NOT Parenthetical Implicit Multiplication, and as such has the same priority as Multiplication... The Distributive Property does NOT change or cease to exist because of parenthetical implicit multiplication.... Multiplication does not have priority over Division they share equal priority and can be evaluated equally from left to right.... The Distributive Property, when FULLY applied, is an act of ELIMINATING the need for parentheses by drawing the TERMS inside the parentheses out not by drawing factors in. The Distributive Property, when FULLY applied, REQUIRES you to multiply all the TERMS inside the parentheses with the TERM or TERM value i.e Monomial factor of the TERM outside the parentheses not just the numeral next to it... TERMS are separated by addition and subtraction not multiplication or division... 6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2 FURTHERMORE people misunderstand Parenthetical Priority... The rule is to evaluate OPERATIONS INSIDE the symbol as a priority before joining the rest of the expression outside the symbol. It does NOT literally mean that the parentheses have to be evaluated BEFORE anything else in the expression can be done... A(B+C)= AB+AC where A is equal to the TERM VALUE i.e. monomial factor outside the parentheses not just the factor next to it... A=6÷2 = 3 Monomial factor B= 1 C= 2 6÷2(1+2)= 6÷2×1+6÷2×2 no parentheses required 3×1+3×2= 3+6= 9 You can't factor a denominator without maintaining all operations of that factorization WITHIN a grouping symbol. You can factor out LIKE TERMS from an expanded expression. 6÷2×1+6÷2×2= 6÷2(1+2) as the LIKE TERM 6÷2 was factored out of the expanded expression..... When a constant, variable or TERM is placed next to parentheses without an explicit operator the OPERATOR is an implicit multiplication symbol meaning you multiply the constant, variable or TERM with the value of the parentheses. TERMS are separated by addition and subtraction not multiplication or division. 6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2 6÷2(1+2)= 3(1+2) no rules have been broken 2×2×4(a+b) partial Distribution 2×2(4a+4b) However the TERM outside the parentheses when simplified equals 16 and 16(a+b) 2×2(4a+4b)= 2(8a+8b)= 16a+16b which is the same as 16(a+b) 2×2×4(a+b) when fully Distributed is 2×2×4×a+2×2×4×b and the LIKE TERMS can be factored out of the expanded expression. The LIKE TERMS being 2×2×4 So... 2×2×4(a+b) 6÷2×1+6÷2×2+6÷2×3-6÷2×4= 6÷2(1+2+3-4) as the LIKE TERM 6÷2 was factored out of the expanded expression... Let y = 0.5 6y(1+2)=? 6y*1+6y*2= ? 6/y⁻¹*1+6/y⁻¹*2= ? If you answered 9 to all three algebraic expressions then it would be ILLOGICAL and INCONSISTENT as well as hypocritical to say that 6/y⁻¹(1+2) doesn't also equal 9. The rules of maths have to remain logical and consistent across the board.
☠️☠️Bhai esa nhi hai Division always comes before Multiplication. Eg:- 2×3÷5 First division 2×0.6=1.2 First multiply 6÷5=1.2 Same answer But now 5÷2×3 First division 2.5×3=7.5 First multiply 5÷6=0.83 Different answer Correct answer is 7.5 Also see if I change it like 5÷3×2 , this will also completely change the answer. So always division first. Always follow BODMAS.
are bahi 6÷2(3) esa to 3 ko bracket me se nikal denge to ye equation esi ho jayegi 6÷2×3 ab bodmas ke hisab se pehle divide hoga to 6÷2=3 fir multiply hoga 3×3=9 hoga answer to 9 hi answer aayega sahi
@@Computerkalochaofficial11 Nahin hoga waisa. 3 ko parantheses se bahar nikalte ke sath hi 2 se multiply karna padega aur wahi 6 ban jaega. Parantheses kholne ka matlab hi yehi hai ki 2 ko 3 se multiply karna padega, uski cheez ko parantheses kholna bola jaata hai. 2(3) = 6. 6 ÷ 2(3) ≠ (6 ÷ 2) × 3 => 6 ÷ 2(x) = 6 ÷ 2x ≠ (6 ÷ 2)x
@@varenydhishaktprdhiesubhaa9540 bhai 6÷2(3)=6÷2×3 hoga aur phir pehle divide karenge then multiply the answer will be 9 google kar sakte ho google par bhi yahi bataya he
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@electrokid7058 Wrong. Think of it this way If you have 6 coins and 2 groups of children. Each group of children has 1 boy and 2 girls, Now split the coins. So what you have is 6 coins divided by 6 children to give 1 coin each. i.e. 6 coins / 2(1 boy and 2 girls) or 6 coins / 6 children = 1 coin each or to put it another way 6÷2(1+2)
@@electrokid7058 We paid for "6 beers" to be "divided by" "2 tables" "OF" "1 man and 2 women". 6 / 2(1+2) = #of beers. You are our waiter and bring us 9 beers each. Who pays for the other 48 beers??
BODMAS/PEMDAS is used for primary understanding of algebra. It's not an absolute in the subject. In advanced mathematics, in a/2b, 2b is considered a closely bonded entity hence the answer will be 1. Writing 6÷2(1+2) is extremely sloppy, bound to confuse many. Either write it 6/2 . (1+2) or 6/2(1+2). First equation will get you 9 and the other, 1.
Actually in algebra and mathematics where variables are used, the use of bodmas rule is omitted. But when the problem has numbers such that all of them belongs to the set of real numbers then we have to use the bodmas rule.
correct answer is 1 do you understand there is b and m both in BODMAS it's so that during a calculation you don't change bracket(b) to multuplication(m) it's so that you shoult directly multiply 2 with 3 instead of converting it to multiplication
Correct answer is 1.....if we go by bodmas rule 6÷2(3), Should be 6÷6 bcos the bracket (3) has to be solved first and on removing the bracket it gets multiplied by 2...and then we get 6÷6=1
6 ÷ 2(1 + 2) 6 ÷ 2(3) 6 ÷ 6 1 This is how you are seeing this problem but actually how I see it is 6 ÷ 2(1 + 2) 6 ÷ 2(3) Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is 3 × 3 and thus 9. What you actually thought was 6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
@@VighneshwarIlangovan 6 ÷ 2(1 + 2) 6 ÷ 2(3) 6 ÷ 6 1 This is how you are seeing this problem but actually how I see it is 6 ÷ 2(1 + 2) 6 ÷ 2(3) Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is 3 × 3 and thus 9. What you actually thought was 6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
@@dilipkumar-xz9jr 6 ÷ 2(1 + 2) 6 ÷ 2(3) 6 ÷ 6 1 This is how you are seeing this problem but actually how I see it is 6 ÷ 2(1 + 2) 6 ÷ 2(3) Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is 3 × 3 and thus 9. What you actually thought was 6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
Sir, the problem arises due the ambiguity made in writing down the correct order of operations to the desired answer. For example if the brackets operation consists of multiplying 2(1+2) as (2×1+2×2) =(2 +4) = 6. The correct answer will be 6÷6 =1. Thus the bracket operation must be completed first.
@@gbhxu " Divide SIX pizzas by TWO tables. Each table consists of ONE girl and TWO boys." Would look like this. 6÷2÷(1+2) That is not what we have here, is it? So let's write the equation in words correctly. You have one set of six pizzas. You split it between two tables. You go back and get two more sets of pizzas. How many pizzas did each table get? 6 Pizzas per set ÷ 2 tables (1 set + 2 more sets) 6÷2(1+2) = 9 pizzas per tables when you are done.
See you have to solve the contents of the bracket first what you are saying is multiplying with bracket we gotta solve the contents that is( 2+1)=3 and then further proceed
Sir I have 2 doubts 1 Why Division Should be given equal priority with Multiplication and 2 why Bodmas Rule should be followed actually What is the reason behind following BODMAS rule
Bod mas is a self made rule bro.. It is just for understanding of expression.. to write it in a way that any one will understand what you mean to do.. It is made by us
1. Division actually doesn't need equal priority with multiplication, you will get the right answer even if you perform division first in all cases. However, you always have to perform multiplication after division is division is on the left of the multiplication. If multiplication is on the left of division, you can do any one of them first and you will still get the right answer. 2. I can give you a practical example to explain this. Suppose you have 6 apples and you distribute them equally among 3 boys. Then you give them each one more apple. So each boy now has 3 apples, correct? In equation form, you write this as: number of apples each boy has = 6/3 + 1. Now, if you don't follow BODMAS and do the addition first, you get 6/4 which is 1.5 apple per boy. However, as I mentioned above, each boy got 3 apples(think logically, 2 apples given to each boy and one more given after that). So, not following BODMAS here will give you the wrong answer.
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@abhimannukumarsingh8068 I can't find any source on the internet differentiating of from *. Can you show a trustable source where I can find how of is used and it's priority?(genuine question, not being cocky.) of is not a part of the BODMAS rule either.
6 ÷ 2(1 + 2) 6 ÷ 2(3) 6 ÷ 6 1 This is how you are seeing this problem but actually how I see it is 6 ÷ 2(1 + 2) 6 ÷ 2(3) Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is 3 × 3 and thus 9. What you actually thought was 6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
@@dapgaming9376 "This is how you are seeing this problem" - which is the way Maths textbooks say to do it. "but actually how I see it is" - wrong, per Maths textbooks. "Here, 6 ÷ 2 is a fraction and 3 is a whole number " - nope. 2(3) is a whole number - a(b+c)=(ab+ac) - and if you rewrite it as a fraction then the whole thing has to go in the denominator. "you can write it as (6 / 2) × (3 / 1)" - no you can't. That would be 6 ÷ 2x(1 + 2) - a different expression with a different answer. "What you actually thought was 6 ÷ (2 (1 + 2))" - which is EXACTLY the same as 6 ÷ 2 (1 + 2), since the extra brackets you added are redundant, given 2(1+2) is already a single Term as is. "I couldn't control myself 😅 from telling you the correct way" - and yet you gave the WRONG way to do it 😂
@@smartmanapps5588 He(the host of the channel) himself said it that in some textbooks, the answer is 1. I had, before writing my answer, already got it checked by AI, calculator and my maths teacher (he gave me this question once himself but that was long ago)
@@smartmanapps5588 Also 6 ÷ 2(1 + 2) is actually opened as 6 ÷ 2 × 1 + 6 ÷ 2 × 2 You wrote "-2" but actually it was "÷ 2", looks like you didn't pay enough attention while writing your reply.
@@smartmanapps5588 6 ÷ 2(1 + 2) is opened as 6 ÷ 2 × 1 + 6 ÷ 2 × 2 ÷ and × have same precedence so according to associativity, the next step: 3 × 1 + 3 × 2 3 + 6 = 9
2(1+2) = (2+4). At school in the Fifties, we were taught to carry this out as a separate function prior to doing anything else. There is a reason for the number touching the brackets, it makes it its own separate function.. So in an extended equation, 2(1+2) does not become 2 X (1+2), it would have been written that way if that was what was required; 2(1+2) immediately becomes (2+4).
@@aucourant9998 - no. technically brackets are meant for multiplication as you used in case of 2(1+2). so it becomes 6÷x6 when you write it as 6÷(2+4). now is it making sense?
This is a matter of stablish conventions. I had a professor that established the conversations early in the course and I have kept it for the rest of my life because it was really reasonable way of looking at things, but anyway it's still a matter of conversations. The convention is the well known (PEMDAS) plus implicit multiplication is treated as number by itself. Following this rules you will arrive at the same answer if the problem is presented as: 6 ÷ 2a where a = 1+2 or as presented in the video 6 ÷ 2(1+2 ) Pretty neat way of looking at things.
O in Bodmas stands for Order which means simplifying exponents or roots in the expression, if any, before arithmetic operations. In certain countries, 'O' is used to represent 'of' which again means multiplication.
@@notrishy would you please like to go through the first line. 6÷2×3 ....i 6÷2(1+2)....ii In some countries ii treated as' of' if parenthesis is there.
@@ind0721 Don't know if O stands for order or anything. I mean if we have exponents or roots then it's pretty obvious before doing literally anything you have to solve it first.
@@apj0886भाई अगर तेरी तरह से भी करें तो भी तूने गलत किया है 3+4=7 तो उत्तर 7 हुआ ना कि 4😂 और दूसरी बात इस तरह से ब्रैकेट नही खोला जा सकता 6÷(2+4) इसे अगर खोलोगे तो डायरेक्ट नीचे जायेगा पूरा 6/(2+4)
Calculator also says 9 Think how the computer will solve this. Computer will conver the expression into postfix : 6/2(1+2) => 62/12+* Then, it will put each operator into stack and solve left to right. So, not sure if computer will be right or wrong here 😀
Ye batao (1+2) numerator me hi ki denominator, numerator me hai to 9 agar denominator me hai to 1 , aur yaha denominator me hi diya hua hai naki numerator me isi liye 1 is the answer
Respected Sir, Kindly give an example where "of" will be used . You have solved the bracket as first priority in BODMAS. Then "O" means of should be the second priority but u replaced o with multiplication and went left to right for solving.
Sir many teachers are saying that this is the wrong equation because the question state that 6 is divisible twice of sum of 1 and 2 so we have to first 2 multiplication with 2 and 3 then after we have to divide it by 6
By the way it is not an equation.....it is an expression. And your teacher is right and it is his prospective of what he interpret it. Actually it is ambiguous expression in this case a brackets should be placed in between the operator and operand to avoid such ambiguity. But if we follow the convention the answer will be 1 because implicit multiplication takes precedence over division. Ex:4÷2x=4/(2x) so by this we conclude that 6÷2(1+2) =6÷[2(1+2)].hope this help.
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
6÷2(1+2) 6÷2(3) 6÷2 of 3 6÷6 1 Ans Note : jab waha pe multiply mention nhi kia jata to ham usko of mante hai jo ki multiply ke jaise tackle kia jata hai aur bodmas mein of 2nd priority hoti hai
6/2(1+2) : Imagine a fraction with N/D in the n there is only 6 and in the D there is 2(1+2) because we can't seperate the terms in paranthesis so this will become => 6 -------------- 2(1+2) 6 => ----------------- 2+4 6 => ----------------------- => 1 6 Hence the answer is 1.
if 2(1+2) was put in second bracket this would have been correct. But the denominator of 6 is only limited to 2 because it has not been put with (1+2) in a seperate bracket.
It is so easy math.. The math isn't hard.. The math=6÷2(1+2) =6÷2×3 [[As we know,,any number divides by 2 is equal to any number multiplies by (1÷2)]] Which means=6÷2×3 =6×(1÷2)×3 =6×0.5×3 =3×3 =9 The answer of the math is 9..
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@abhimannukumarsingh8068 The concept 'of ' is a total misconception in traditonal education system and it is a cliche. What can be a matter of contention is the dot product which has an obvious higher precedence than cross product. But that is possible only for vectors. AB = A.B (potato potato). And in case if anyone assumes magnitude of A as 2 and B as 3, there is no guarantee if those lie on the same plane or not unless the unit vectors are specified distinctly. So the value of 2(3) according to dot product can either be 6 or 0 which can lead to another possibility to the answer of this problem that is undefined (6÷0)
Well me and chat gpt both disagree . According to us answer is 1. Distinguish between 6/2(3) and 6/2x(3) is crucial . In first it consider that 2(3) is denominator while second equation only 2. And it will effect PEMDAS approach.
2(3) means 2 of 3 . 2×3 means 2 multiplied by 3. According to BODMAS rule "of" takes more priority over "multiplication and division" of>division So, 6÷2(3) = 6÷2 of 3 = 6÷6= 1 Therefore, "1" is the correct answer.
Remember, the equations written as f(x)=z or g(x)=z require f and g to be considered functions, which are not considered variables or constants by any means. Simply put, f(x) does not mean f is being multiplied by x. It is just used to name a polynomial. Therefore, assuming 2(3) would be the equivalent of assuming f=2 and x=3 which is wrong. However, If you think I'm wrong, please let me know, I would appreciate the corrections.
The f(x) is a totally different thing bro 😂😂 , the 'f' denotes a function .For example in trigonometry when we say sin(A) it doesn't mean sin is being multiplied by A 😂😂 , That 'f' in f(x) is called "function" but here in 2(3) it's 2*3 If it was (2*3) then your ideology could have been correct but here it's 2(3) and since there is no operation inside the bracket the bracket vanishes and the multiplication operation is considered
Function is a totally different thing. And if there is any then there should always be an output, Function means what operation are we gonna do to "x" to get an output "y" . For example, In a question it is given the f(x) =y such that y=x+10 , then for any value we put in place of "x" we gonna get a number output which is 10 more than x Like if we put 10 than f(10)=20 If we put 15 then f(15)=25 , Function is a totally different thing from the usual operations of arithmetic
@@Head_hunter21 this is where you are wrong there is no (3) , in mathematics the bracket immediately vanishes right after we solve the problem inside the bracket, i know you might think of me as a psychopath but 2(3) is not read as 2of 3 , the word "of" is used in a chapter called function the expression f(x) read as f of x but here in this case it's no function it's only the usual arithmetic operations, and if there were any "of" then it would be mentioned (like 2of3) if there isn't any operation mentioned in between then it's multiplication by common sense , what i meant to say that it's not of , if it was it would be mentioned as 2of(3)
@@Head_hunter21 one thing, most importantly done put the 3 inside of bracket , the bracket is of no used since there is no operation inside the bracket,
The problem is that basic rules are only the foundation of math. As evidenced by the fact that there is so much confusion over this. That's where you need more advanced rules to clarify what elementary school math falls short on. In this case, we have the Distributive Property, which states that a(b+c) = (ab+ac). So whatever answer you get for 6 ÷ 2(1+2) has to be the same as the answer you get for 6 ÷ (2*1+2*2). So 1 is the correct answer.
@@cryofpaine Funny how you are applying additional parentheses where they are nonexistent in the original expression. You're in essence saying that the expression is 6÷(2(1+2)). 🤣
@@joenarbaiz1640 No, I'm following advanced mathematical principles. And by "advanced" I mean 6th grade instead of 2nd. The 2 is explicitly tied to the parenthesis as a coefficient. What you are doing is in essence saying that the expression is (6÷2) * (1+2).
@@cryofpaine Why did you put the word advanced in quotation marks? Again, I am laughing at your feeble attempt to insult me. The expression is purposely ambiguous and requires clarification by the use of additional parentheses. Parentheses are used to modify the natural Order of Operations.
@@joenarbaiz1640 because advanced is usually reserved for things like trig, calculus. Not pre-algebra (if it's even considered that). The thing is, it isn't ambiguous. Because of the use of the ÷ rather than /, it is perfectly clear. The 2 is explicitly part of the term 2(1+2), which is the denominator. If the / had been used insted, then it would be ambiguous between 6 ---------- 2(1+2) or 6 --*(1+2) 2
6/2*3 isn't much different from 6/2(3), because when you say 6/2(3)=1 you are just performing multiplication before division, not following the bodmas/pemdas rule. However, this can be true if it was 6/((2)(3)) equating to 1. Always remember the operations inside parentheses are to be performed first, and then solve the equation, treating x/y(z) as x÷y×z. Hope this helped.
Sir, you said addition and subtraction ki same priority hoti hai , but bachpan se padhaya jata hai ki addition has more priority and wahi Bodmas se bhi dikhta hai Example 6-2+3 ka answer 1 hoga and not 7 , 1 if addition has more priority and 7 if equal priority
@@SOMEONE-kk1nc like i said addition should have higher prob according to bodmas(that's what we were taught in childhood,maybe it changed) , 6-2+3=6-5=1
6➗2✖️(1➕2)=9 6➗2(1➕2)=1 The problem shown, the one we were asked, is the second one. The multiplication has already been done before you work through the left to right sequence.
So it becomes impossible to use fractions to represent decimals in distributive multiplications? Which breaks the concept of equality that mathematics are based upon.
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
6÷2(1+2) According to bodmas rule we have to solve the bracket first =6÷2(3) =6÷2×3 According to bodmas rule we have to first divide and then multiply =6÷2×3 =3×3 =9
Every teacher saying that this is wrong or that is right answer while PHD scholars in mathematics said that brackets are cheap This question is wrong It is not fully defined It can be interpreted in any of the 2 answers. The both answers are correct of this question
@@sakshamgamer5712 Bro the question is wrong the PhD scholar said that These types of bracket questions can be interpreted in 2 answers Because we can write A(B+C) = A*B+A*C And it can also be written as A*(B+C) = A*The sum of B+C Sorry if I didn't recall it properly but the PhD scholar said that brackets are cheap and he proved it with example.
@@sakshamgamer5712 Here u go Sigh. I have a Ph.D. in mathematics, and strong opinions. I don’t care how many acronyms people make, and I don’t care how often they make claims about the “correct” order of operations. The real answer to this question (and to all similar tedious questions) is that the result is ambiguous. You can’t interpret a sequence of mixed multiplication and division operations without making up some arbitrary rule that isn’t worth remembering. So don't do it. Parentheses are cheap. Use enough of them to make sure that there is no ambiguity. (“for life is not a paragraph, and death i think is no parenthesis” - e. e. cummings) Now, why do I insist that the usual rules (like left-to-right order of operations) are arbitrary? Because they aren’t intrinsic properties of the fundamental algebraic operators. Addition is associative and commutative. Multiplication is associative and commutative and distributes over addition. The latter property is the one that says A∗(B+C)=A∗B+A∗C . And leads to the one precedence rule that everyone remembers: in the absence of parentheses, do all the multiplications before the additions. No one thinks that A∗B+C should ever mean the same thing as A∗(B+C) . You will note that I didn't include subtraction or division in the previous paragraph. That's because they aren't primary, fundamental operations. They are secondary, derived operations. The algebraically more important operations are negation and inversion. Subtraction is just adding a negative number. Division is just multiplication by the reciprocal or multiplicative inverse.
@@meghanada1264 yeh sab nautanki karne ke liye phd kiya hain...school ke baccho ko kya sikhaoge....ki bracket gaya tel lene...numerator denominator kabhi karna hi maat..ye sab sikhaoge
@@souravpaul2179 Ye question aap us PhD scholar se puchiye jisne ye reply Diya hai Waise wo sahi bol Raha Question me full details nahi di gyi even Programming languages me bhi developer batate hai ki woh computer ko full details dete hai jaisa ye question hai aisa half details se kam nahi chalta Phir computer us details ke hisab se hi answer interpret krta Hain aur ye question half details ke sath diya gya hai isliye iske 2 answers aa rhe hai.
ANSWER IS 1 (ONE). ANY OTHER ANSWER IS A BS. (note: just saw this thumbnail, haven't watched this yet, even a sec, and haven't read any single comment)
6÷2 (1+2) 6÷2 का (of) (3) 6÷6 Ans = 1 One has to use Of (का) between 2 and (3) जहाँ किसी संख्या और ब्रैकेट के बीच कोई चिन्ह नहीं होता वहाँ "का" मतलब Of का प्रयोग किया जाना चाहिए न की multiplication (×). So, if BODMAS of PEMDAS is used correctly and logically, the answer is 1 and not 9.
Correct answer is one only Brackets has more priority than Multiplication if you see this ans in our regular calculator or in phone calculator it shows 9 which is totally wrong because It doesn't follow BODMAS But if we check in scientific calculator it shows 1 which is correct so all the time regular calculator are not correct follow scientific calculator
People who think 6÷2(3) can be written as 6/[2(3)] Give it some more thought, if you think bout it, it can be written as(6/2)×3, the problem is with how the question is written, the question is not wrong, but keeping in mind that people should be able to understand it, I'll write it so that everyone understands (6÷2)(1+2), the problem was that people got confused if the term (1+2) was being multiplied with the numerator or the denominator, In order to get the answer 1, you have to write it as 6÷[2(1+2)]
My contention is that PEMDAS and BODMAS are misunderstood and misapplied. They work well when there are simple expressions without any grouping. However, when an expression contains a grouping as in the viral expression many do not fully resolve the group and only perform the operation inside of the group; e.g. in the expression 6÷(1+2) * 2=4. This example shows explicit multiplication coming after the group so using PEMDAS/BODMAS it is evaluated left to right as it becomes 6÷3*2. However, this example does not apply to the viral expression as the subexpression 2(1+2) with the implied multiplication is a unique value in itself because it is the factored form of (2*1+2*2). The 2 outside the parentheses is the GCF of the expression and as such is tied to the group in that it has to be "distributed" to the terms inside the parentheses. So, in order to resolve the group, the parentheses in this case, one cannot simply do the operation inside the parentheses and consider that one is finished with completing the group operation. When the viral expression is written as 6÷2(3) this is wrong and should be written as the distributed expanded nonfactored version as noted above. That is the 2 as the GCF must be distributed across the terms in order to preserve its value. Let me also point out that several field axioms of number properties in addition to the distributive would also apply here such as the associative and commutative properties over multiplication. If anyone feels that the viral expression should have a single answer then what if we were to apply commutation to the expression and write it as 6÷(1+2)2? it would solve to 4 according to PEMDAS. Note that 2(1+2) and (1+2)2 are the same value as one is right distribution and the other left distribution and as equivalent values can be substituted for each other. BTW, as the two outside the parentheses is, as noted, the GCF of the group one cannot solve by using multiplication by the reciprocal as this would change the GCF to a fraction which by definition cannot be.
You are right, I got carried away and overwrote a reply. But let me clarify one thing: a group that is modified by a coefficient (as in implied multiplication or juxtaposition) whether it is a factored expression or not should be calculated before other operations are performed on it. Thus, 2(1+2) resolves to (2*1+2*2) which the group then equates to 6. With this method the viral expression must compute to 6÷6=1. @@vikalp_69.
Sir ye problem 1 minute ke shorts me bhi discuss ho sakti thi , aap jo shorts me 2x me content dete ho usko long format me bana dijiye aur mains ke ache concept wale question bhi discuss kijiye sir🙂
To determine the value of the expression 6÷2(1+2), we need to follow the order of operations, often abbreviated as *PEMDAS/BODMAS:* P/B: Parentheses/Brackets E/O: Exponents/Orders (i.e., powers and square roots, etc.) MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right) Let's break down the expression step by step: 1. Parentheses/Brackets: Evaluate inside the parentheses first. 1+2=3 So the expression becomes: 6÷2(3) 2. Multiplication and Division (from left to right): Perform the division and multiplication from left to right. Here we have two operations: division and multiplication. According to the order of operations, we proceed from left to right. 6÷2×3 First, perform the division: 6÷2=3 Then, multiply the result by 3: 3×3=9 Therefore, the expression evaluates to 9. *Explanation:* The confusion often arises because some might interpret the expression differently, grouping 2(3) together before performing the division. However, according to standard mathematical conventions (PEMDAS/BODMAS), multiplication and division are performed from left to right as they appear. Thus, the correct and mathematically logical interpretation of the expression 6÷2(1+2) is: 6÷2×3=3×3=9 *So, the answer is 9*
9 is the answer. 60 years ago my father taught me when i was in std six. He gave me a formula in Hindi "का को पहले काटिये भँगा देहु भगाय । गुणा काढ़ि, धन जोडिये, ऋण को देहु घटाय. का means = of eg one Third of 9. Of course this formula should be used for solving innermost bracket first , to outer bracket. As the formoula in poem says solve the bracket first: 6÷2(1+2) =6÷2(3) =6÷2×3.....brack removed. Now solve ÷ =3×3..... Now solve × =9 As per formula in poem division has priority over multiplication so is ... Plus has priority over minus.
Sir I am watching your lectures on Physics Wallah Plz tell me, are those lectures enough for JEE MAIN and ADVANCED? If not, where can I watch from to cover for the syllabus? I prefer to study from your lectures
See, is falana enough for dhimkana type of questions are useless. You will never able to crack any sort of examination if you always doubt your self. Opt for least preparation sources and practice them as many times as you can. You understood what i am trying to say. Those who buy huge bunch of resource, they never able to master any one . If you are studying from any coaching, plz stick to them. Test your self daily. By solving 10 question daily like a test.
The ambiguity in the expression 6/2(1+2) arises from the way multiplication is implied. It can be interpreted as either (6/2) * (1+2) or 6 / [2 * (1+2)]. 1. Interpretation 1: (6/2) * (1+2) Here, you would first perform the calculations within the parentheses: 1+2 equals 3. Then, you'd divide 6 by 2 to get 3. Finally, you'd multiply 3 by 3 to get the answer 9. 2. Interpretation 2: 6 / [2 * (1+2)] In this interpretation, you'd again start by calculating 1+2 to get 3. Then, you'd multiply 2 by 3 to get 6. Finally, you'd divide 6 by 6 to get the answer 1. To avoid confusion, it's recommended to use explicit parentheses to clarify the intended order of operations.
IT'S just ; 6÷2(1+2) Now BODMAS Use 'Bracket off' 6÷2(3) 6÷2×3 So now "Division'' 6÷2×3 = 3×3= 9 ✓ Note: Addition can be done during Bracket off Else 6÷2×1+2×2 (It's direct multiplication)
ai To evaluate this expression, we need to follow the order of operations (PEMDAS): 1. Evaluate the expression inside the parentheses: 1+2 = 3 2. Multiply 2 by the result: 2(3) = 6 3. Divide 6 by the result: 6 ÷ 6 = 1 So the final result is 1. Using the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, and Subtraction), we evaluate the expression as follows: 1. Brackets: Evaluate the expression inside the parentheses: 1+2 = 3 2. Orders (none in this case) 3. Division: 6 ÷ 2 = 3 4. Multiplication: 3 × 3 = 9 So the final result is 9.
Priority order of division and multiplication same because 6÷2(2+1) =6÷2×3 =6×1/2×3 =9..........becuase divide ko hm multiply me change kr skate hn....jisse sb multiply me aa gya toh sb ka priority same hn😉😉😉 .
1 is the correct answer for the equation not 9. If there is no any sign in front of bracket we treat it as multiply but we solve this first . If there is any sign in front of the bracket then we apply BODMAS.
6 ÷ 2(1 + 2) 6 ÷ 2(3) 6 ÷ 6 1 This is how you are seeing this problem but actually how I see it is 6 ÷ 2(1 + 2) 6 ÷ 2(3) Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is 3 × 3 and thus 9. What you actually thought was 6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 about telling you
Please attention : The correct answer is 1 and not 9 . BODMAS itself says that Brackets must be solved first and then the rest ... This guy is treating Brackets as multiplication 😢 which is absolutely wrong . I know this question is a series of debate ... But I request Every TH-cam teacher or Videomaker to please correct it and post a video 🙌
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
9 is answer According to BODMAS rule, the logic is simple the division operation (÷) only holds for 2 but not for 2(1+2) So, 6÷2(1+2) =9 Or (6÷2)(1+2) =9 6÷[2(1+2)]=1 6/2(3)=6/2×3=1 Mathematicians represents a÷(bc) as a/bc but not a÷b(c) and a÷(b+c) as a/b+c but not a÷b+c
9 for sure. 2*3 me jo bracket hatne ki baat ho rahi h , 2(3) - isme jo bracket bach gaya wo koi bhi mathematical operations hold nahi kar raha h 2(3) stage mai, toh fir ye (3) iss wake bracket ko bracket ki value nahi milegi - Mathematical operation 2(3) me multiply ka hai toh ye sahi h. 6÷ 2*3 ab isko solve karo. Aaplog jo keh rahe h uske liye {6÷ 2(3) } ye hota.
Simple thing is that answer changes as the way of representing question changes for ex if we say solve 6 divide by 2×3 then the answer will be 1 and if the question is 6 divide by 2 multiply by 3 then it will be 9 i hope you guys understanded ❤
There is something called BODMAS ok.first prioritize the bracket so 6÷2(1+2) =>6÷2×3 According to Bodmas; Division =Multiplication (same priority so left to right) =>(6÷2)×3=3×3=9
I really don't know why everyone is so much considering this question! I just saw the thumbnail & within 5 seconds calculated the answer as 9. I swear! It's no big deal. Yet, thank you sir. ☺️
@@naeemmian4032 oh so after everything is solved inside brackets its treated as multiplication? I thought since brackets come first we should multiply with 2 first Thanks for answering
6÷2(1+2) = 6÷2(3) = 6÷6 = 1 answer BODMAS ist solve whatever is within the Brackets >than Off the Brackets (i.e remove Brackets) ,brackets is also a form of multiplication >than Divide ÷ >than multiply x😊 >than Add + >and lastly Subtract __
Exactly, you are not supposed to replace bracket by multiplication sign. You simply remove the bracket by doing multiplication. The answer is 1. Sorry for his students 🤣
I think 9 Edit - mera answer to sahi nikla bhai aur me imagine kar rha hu kahi me great mathematician na ban jau me sir ke jaisa same rule se kiya tukka nhi lagaya😍
Chup be semde 9 galat hai iska ans 1 hi hai wo konsa kitab use Kiya dikhane bol to BODMAS me ye order ka use hi nhi kiya isne jab ki phle order ka hi use hoga kuch bhi bak Diya ye left se karna cahiye etc etc
No dear, you are wrong......when you write 6÷2(3),,,,,it means, still bracket is there, you have not removed /solved bracket yet......so after removing bracket, it will be read as 6÷6 and after solving it, the answer will be one and only 1,,,,,,,no confusion.
Yes answer is 1. We cannot divide by two . We need to solve bracket as one unit and then divide by the product ie 6 so answer is 1. I am a ex post- graduate teacher.
Pls look, =6÷2(1+2) Read as 6 devided by 2 multiply with the addition of 1 and 2 Now do as read =3×3 =9 I have not applied any rule, just read the mathematical statement and solved in the order of reading. Like if like
what BODMAS means {Bracket, Of, Division, Multiplication, Addition, and Subtraction} then what's come after bracket ! don't u know ?? there is "of" means =6/2(1+2) =6/2 of 3 =6/6 =1 ! this is correct
It's very simple, check below:
6÷2(1+2) = 1
6÷2x(1+2) = 9
Understand the importance and difference of "brackets" and "multiply".
Bracket is the multiplication of inner number with the outside number right before it. And then any other calculation would be implied.
2(3) must be calculated first before doing other calculations.
But if there was 2x3 instead of 2(3), then 2x3 would be treated amongst the whole string of calculation.
240÷2÷3÷4x2, every number would be treated separatley like
240 x 1/2 x1/3 x 1/4 x 2 = 20
But if the expression is like 240÷2÷3÷4(2)
then it will be done like this
240 ÷ 2 ÷ 3 ÷ (4x2)
= 240 ÷ 2 ÷ 3 ÷ 8
= 240 x 1/2 x 1/3 x 1/8
= 5
The choice of left-to-right sequencing in the order of operations is somewhat arbitrary, and it has more to do with convention and consistency rather than any inherent mathematical property.
The convention of left-to-right sequencing has been widely adopted to provide a standard and consistent way to interpret mathematical expressions. This convention allows people around the world to follow the same set of rules when performing calculations, which is crucial for clear communication and understanding.
If a different convention, such as right-to-left, were chosen, it would still be valid as long as everyone agreed on it. However, consistency across education systems, textbooks, and mathematical communication is essential for effective teaching and problem-solving. The left-to-right convention has become the standard in the English-speaking world and many other regions, contributing to a universal understanding of mathematical expressions.
In summary, the choice of left-to-right sequencing in the order of operations is a matter of convention and practicality to ensure consistent interpretation of mathematical expressions across different contexts and audiences.
Implied multiplication and division has a higher priority than normal multiplication and division...
@@gitawrongtranslation-youtu9701implied multiplication doesn't mean grouping
In the given expression, the parentheses around 2 indicate that the multiplication should be performed first. Therefore, we have:
2
240
÷
4
3
⋅2=
4
3
120
⋅2
Then, we simplify the fraction and perform the multiplication and division operations according to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
@@gamesshuffler-v8n implicit multiplication doesn't mean grouping. It never did. The rule says to evaluate from left to right when the priority is equal (of division and multiplication or of addition and subtraction)
I may be wrong but -
When any expression is written like a(b+c), without any apparent sign between "a" and (b+c) , it means "a" is a common factor taken out of the initial expression (ab+ac).
So in the expression 6÷2(1+2) ,
2(1+2) is actually an outcome of ( 2×1 + 2×2 ) which is 6. And dividing 6 by 6 we get the answer 1.
Please point out if i am mistaken.
Yes this is an example of implied multiplication, which used to take precedence over normal multiplication UNTIL 1920's. Now, the rule has been changed where multiplication is same as implied multiplication
@@saumitchandhok5730 okay. Let me put it another way. Suppose we have the initial expression: 6 ÷ (2+4)(It is 6÷6, which will amount to 1.)
We can write 6 ÷ (2+4) as 6 ÷ 2(1+2). Now is it correct to go left to right?
@@anandkrishna8279
"Suppose we have the initial expression: 6 ÷ (2+4)"
@@MrGreensweightHist I see. But I've seldom seen an expression written like this in books. Got your point though.
@@anandkrishna8279 That is part of the problem
The expression is completely valid, but people are not used to seeing it, so they don't always know how to approach it.
1 is the correct answer here, because there is no multiplication sign between 2 and (1+2) which works as a invisible parenthesis on the two values i.e. 6 ÷ (2 (1 + 2)). If there was a multiplication sign the sum would look as 6 ÷ 2 * 3, where 9 would have been the correct answer.
Jo second bracket hoga, wo curly bracket hoga bro, vaise answer shi h aapka 😊
@@Manu.883 as I am a Software Developer. We don’t use curly braces for mathematical Calculations. Curly braces have different meaning and properties in coding. So from my perspective I used parenthesis.
@@arindamnag3281 yeah 👍🥲
Phle bracket solve hoga
Prior to 1917 some text book printing companies pushed the use of the obelus in a manner similar to the vinculum because the vinculum took up too much vertical page space, was difficult to type set and more costly to print with the printing methods at that time. However, this was in direct conflict with the Order of Operations and the various properties and axioms of math that were established in the early 1600's when Algebraic notation was being developed in order to eliminate ambiguity and to minimize the unnecessary and excessive use of parentheses so the ERROR was corrected post 1917.
This attempt by the text book printing industry to save time and money was wrong and the ERROR means that 1 is not and has never been the correct answer...
Furthermore, the biggest mistake that people make is incorrectly comparing 6÷2(1+2) as 6÷2y.
This is an inaccurate comparison... 6÷2(1+2) does not Algebraically equate to 6÷2y it correctly equates to y(1+2) where y is equal to the Monomial Factor of the TERM outside the parentheses. 6÷2 is juxstaposed to the parentheses as a whole not just the numeral 2
All variables have a coefficient. Constants can be coefficients but constants do not have coefficients. There are no coefficients in this expression...
6÷2y the coefficient of y is 2 BUT 6÷2(a+b) the coefficient of a and b is 3 not 2
Many people confuse and conflate an Algebraic Convention (special relationship) between a variable and its coefficient that are directly prefixed (juxstaposed) and forms a composite quantity by this convention to Parenthetical Implicit Multiplication... They are not the same thing...
Convention doesn't trump LAW and the Distributive Property is a LAW.
6/2y = 6/(2y) = 3/y by Algebraic Convention BUT 6/2(y)= 3y by the Distributive Property...
ABC/ABD = C/D by Algebraic Convention
ABC/AB(D) = CD by the Distributive Property
6/2(a+b)= 3a+3b not 6/(2a+2b)
The Distributive Property is a PROPERTY of Multiplication, NOT Parenthetical Implicit Multiplication, and as such has the same priority as Multiplication... The Distributive Property does NOT change or cease to exist because of parenthetical implicit multiplication....
Multiplication does not have priority over Division they share equal priority and can be evaluated equally from left to right....
The Distributive Property, when FULLY applied, is an act of ELIMINATING the need for parentheses by drawing the TERMS inside the parentheses out not by drawing factors in. The Distributive Property, when FULLY applied, REQUIRES you to multiply all the TERMS inside the parentheses with the TERM or TERM value i.e Monomial factor of the TERM outside the parentheses not just the numeral next to it...
TERMS are separated by addition and subtraction not multiplication or division...
6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2
FURTHERMORE people misunderstand Parenthetical Priority... The rule is to evaluate OPERATIONS INSIDE the symbol as a priority before joining the rest of the expression outside the symbol. It does NOT literally mean that the parentheses have to be evaluated BEFORE anything else in the expression can be done...
A(B+C)= AB+AC where A is equal to the TERM VALUE i.e. monomial factor outside the parentheses not just the factor next to it...
A=6÷2 = 3 Monomial factor
B= 1
C= 2
6÷2(1+2)=
6÷2×1+6÷2×2 no parentheses required
3×1+3×2=
3+6=
9
You can't factor a denominator without maintaining all operations of that factorization WITHIN a grouping symbol. You can factor out LIKE TERMS from an expanded expression. 6÷2×1+6÷2×2= 6÷2(1+2) as the LIKE TERM 6÷2 was factored out of the expanded expression.....
When a constant, variable or TERM is placed next to parentheses without an explicit operator the OPERATOR is an implicit multiplication symbol meaning you multiply the constant, variable or TERM with the value of the parentheses. TERMS are separated by addition and subtraction not multiplication or division. 6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2
6÷2(1+2)= 3(1+2) no rules have been broken
2×2×4(a+b) partial Distribution 2×2(4a+4b)
However the TERM outside the parentheses when simplified equals 16 and 16(a+b)
2×2(4a+4b)= 2(8a+8b)= 16a+16b which is the same as 16(a+b)
2×2×4(a+b) when fully Distributed is 2×2×4×a+2×2×4×b and the LIKE TERMS can be factored out of the expanded expression. The LIKE TERMS being 2×2×4 So... 2×2×4(a+b)
6÷2×1+6÷2×2+6÷2×3-6÷2×4= 6÷2(1+2+3-4) as the LIKE TERM 6÷2 was factored out of the expanded expression...
Let y = 0.5
6y(1+2)=?
6y*1+6y*2= ?
6/y⁻¹*1+6/y⁻¹*2= ?
If you answered 9 to all three algebraic expressions then it would be ILLOGICAL and INCONSISTENT as well as hypocritical to say that 6/y⁻¹(1+2) doesn't also equal 9.
The rules of maths have to remain logical and consistent across the board.
Wait If 2 is out of bracket which means its common factor of 1 and 2 inside bracket so it can be also written as 6÷(2×1+2×2) .
Now after taking out 2 from bracket we get the question.
Thus 6÷(2×1+2×2) is also the same thing.
6÷(6)
=1
According to me BODMAS where O stands for Order which comes before division so 1 might be actually correct
1 is true you can check by putting x one by one on each number,,,, 1 can satisfy
Equation can be put into words :
I have 6 mangoes... I have to divide it among my neighbours... Left neighbour is a single mother... Right neighbour is a Couple (1+2)...
They have a total of 3 children among them... 2(1+2)
Now if I divide 6 mangoes among them 6÷2(1+2)... Will each one get 1 mango each or 9 mango each...
It should be 1... Atleast that's how I see this problem..
Exactly
👏🏻👍🏻
Good analogy. But then, there should be 4 children, 3 adults. Then it will be 6%7.
@@Razrman Good Catch...
Absolutely.....who cares about expression....the actual matter is expression is written against what problem....so to be clear lets write 6÷(2(2+3))
2(3) ÷ 6 = 1
Now, Is it correct?
As You have taught us. According to BODMAS and PEMDAS, if there were both operations [×÷] then, the priority of both will be same & We will have to approach from left to right.
In here it actually happens like this -
2(3)÷6
2×3÷6
2×0.5
1
@@Jannatsupportsyou no tye answer is coming right but u r using division first
@@subhashsharma9769 Hope You know DMAS Division Multiplication Addition and Subtraction
@@Jannatsupportsyou no sir
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
Please attention, everyone read carefully
The correct answer depends on the interpretation of the expression. In standard mathematical notation and following the order of operations (PEMDAS/BODMAS), the result is 9:
\[6 ÷ 2(1 + 2) = \frac{6}{2} \times (1 + 2) = 3 \times 3 = 9.\]
However, if the expression is intended to be \(\frac{6}{2(1 + 2)}\), with the division happening after the multiplication inside the parentheses, then the result is 1:
\[\frac{6}{2(1 + 2)} = \frac{6}{2 \times 3} = \frac{6}{6} = 1.\]
To avoid ambiguity, it's crucial to use parentheses to clarify the intended order of operations.
6÷2(3)implies we have to divide 6 by 2 3s.Here 2and 3 are integral meaning 2 of 3s.Hence following BODMAS pattern we should divide 6 by 6 to get the correct answer 1.
@@jyotiprakashchowdhury7252These mathematical problems are good pass time for kids. But in the end maths is a tool. What you want to divide by how much must be known to you in real life😅
Wht is pemdas..tell full form also..
@@jyotiprakashchowdhury7252 Prior to 1917 some text book printing companies pushed the use of the obelus in a manner similar to the vinculum because the vinculum took up too much vertical page space, was difficult to type set and more costly to print with the printing methods at that time. However, this was in direct conflict with the Order of Operations and the various properties and axioms of math that were established in the early 1600's when Algebraic notation was being developed in order to eliminate ambiguity and to minimize the unnecessary and excessive use of parentheses so the ERROR was corrected post 1917.
This attempt by the text book printing industry to save time and money was wrong and the ERROR means that 1 is not and has never been the correct answer...
Furthermore, the biggest mistake that people make is incorrectly comparing 6÷2(1+2) as 6÷2y.
This is an inaccurate comparison... 6÷2(1+2) does not Algebraically equate to 6÷2y it correctly equates to y(1+2) where y is equal to the Monomial Factor of the TERM outside the parentheses. 6÷2 is juxstaposed to the parentheses as a whole not just the numeral 2
All variables have a coefficient. Constants can be coefficients but constants do not have coefficients. There are no coefficients in this expression...
6÷2y the coefficient of y is 2 BUT 6÷2(a+b) the coefficient of a and b is 3 not 2
Many people confuse and conflate an Algebraic Convention (special relationship) between a variable and its coefficient that are directly prefixed (juxstaposed) and forms a composite quantity by this convention to Parenthetical Implicit Multiplication... They are not the same thing...
Convention doesn't trump LAW and the Distributive Property is a LAW.
6/2y = 6/(2y) = 3/y by Algebraic Convention BUT 6/2(y)= 3y by the Distributive Property...
ABC/ABD = C/D by Algebraic Convention
ABC/AB(D) = CD by the Distributive Property
6/2(a+b)= 3a+3b not 6/(2a+2b)
The Distributive Property is a PROPERTY of Multiplication, NOT Parenthetical Implicit Multiplication, and as such has the same priority as Multiplication... The Distributive Property does NOT change or cease to exist because of parenthetical implicit multiplication....
Multiplication does not have priority over Division they share equal priority and can be evaluated equally from left to right....
The Distributive Property, when FULLY applied, is an act of ELIMINATING the need for parentheses by drawing the TERMS inside the parentheses out not by drawing factors in. The Distributive Property, when FULLY applied, REQUIRES you to multiply all the TERMS inside the parentheses with the TERM or TERM value i.e Monomial factor of the TERM outside the parentheses not just the numeral next to it...
TERMS are separated by addition and subtraction not multiplication or division...
6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2
FURTHERMORE people misunderstand Parenthetical Priority... The rule is to evaluate OPERATIONS INSIDE the symbol as a priority before joining the rest of the expression outside the symbol. It does NOT literally mean that the parentheses have to be evaluated BEFORE anything else in the expression can be done...
A(B+C)= AB+AC where A is equal to the TERM VALUE i.e. monomial factor outside the parentheses not just the factor next to it...
A=6÷2 = 3 Monomial factor
B= 1
C= 2
6÷2(1+2)=
6÷2×1+6÷2×2 no parentheses required
3×1+3×2=
3+6=
9
You can't factor a denominator without maintaining all operations of that factorization WITHIN a grouping symbol. You can factor out LIKE TERMS from an expanded expression. 6÷2×1+6÷2×2= 6÷2(1+2) as the LIKE TERM 6÷2 was factored out of the expanded expression.....
When a constant, variable or TERM is placed next to parentheses without an explicit operator the OPERATOR is an implicit multiplication symbol meaning you multiply the constant, variable or TERM with the value of the parentheses. TERMS are separated by addition and subtraction not multiplication or division. 6÷2 is a single TERM juxstaposed to the parentheses as a whole not just the numeral 2
6÷2(1+2)= 3(1+2) no rules have been broken
2×2×4(a+b) partial Distribution 2×2(4a+4b)
However the TERM outside the parentheses when simplified equals 16 and 16(a+b)
2×2(4a+4b)= 2(8a+8b)= 16a+16b which is the same as 16(a+b)
2×2×4(a+b) when fully Distributed is 2×2×4×a+2×2×4×b and the LIKE TERMS can be factored out of the expanded expression. The LIKE TERMS being 2×2×4 So... 2×2×4(a+b)
6÷2×1+6÷2×2+6÷2×3-6÷2×4= 6÷2(1+2+3-4) as the LIKE TERM 6÷2 was factored out of the expanded expression...
Let y = 0.5
6y(1+2)=?
6y*1+6y*2= ?
6/y⁻¹*1+6/y⁻¹*2= ?
If you answered 9 to all three algebraic expressions then it would be ILLOGICAL and INCONSISTENT as well as hypocritical to say that 6/y⁻¹(1+2) doesn't also equal 9.
The rules of maths have to remain logical and consistent across the board.
Chat GPT se छापे ho bhaiya 😂
Aaj pata chala ki multiplication aur division ki priority same hoti h 😂
Bhai sahab pehli baar 100+ likes mile hain 😅
मैं भी
Same bro
Aaj same laga diya answer hi galat aa raha h 😁
+ & - ka v
☠️☠️Bhai esa nhi hai
Division always comes before Multiplication.
Eg:- 2×3÷5
First division 2×0.6=1.2
First multiply 6÷5=1.2
Same answer
But now
5÷2×3
First division 2.5×3=7.5
First multiply 5÷6=0.83
Different answer
Correct answer is 7.5
Also see if I change it like
5÷3×2 , this will also completely change the answer.
So always division first.
Always follow BODMAS.
Still 3 is in brocket. As per bodmas, we have to remove brocket at the first instance.
So, 2 x 3 should be calculated first.
So 1 is correct.
1's right.
are bahi 6÷2(3) esa to 3 ko bracket me se nikal denge to ye equation esi ho jayegi 6÷2×3 ab bodmas ke hisab se pehle divide hoga to 6÷2=3 fir multiply hoga 3×3=9 hoga answer to 9 hi answer aayega sahi
@@Computerkalochaofficial11
Nahin hoga waisa. 3 ko parantheses se bahar nikalte ke sath hi 2 se multiply karna padega aur wahi 6 ban jaega. Parantheses kholne ka matlab hi yehi hai ki 2 ko 3 se multiply karna padega, uski cheez ko parantheses kholna bola jaata hai.
2(3) = 6.
6 ÷ 2(3) ≠ (6 ÷ 2) × 3
=> 6 ÷ 2(x) = 6 ÷ 2x
≠ (6 ÷ 2)x
@@varenydhishaktprdhiesubhaa9540 bhai 6÷2(3)=6÷2×3 hoga aur phir pehle divide karenge then multiply the answer will be 9 google kar sakte ho google par bhi yahi bataya he
According to me correct ans is 1
we can write 6/2 as 6÷2 it will give same ans
Similarly 6÷2(1+2) can be written as
6/2(1+2) now it simply gives 1
How will it even get 1??? It's 9 all the time no matter how u solve it
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@electrokid7058 Wrong. Think of it this way
If you have 6 coins and 2 groups of children. Each group of children has 1 boy and 2 girls, Now split the coins.
So what you have is 6 coins divided by 6 children to give 1 coin each.
i.e. 6 coins / 2(1 boy and 2 girls) or 6 coins / 6 children = 1 coin each or to put it another way 6÷2(1+2)
@@gbhxu question can be framed in any way bro
@@electrokid7058 We paid for "6 beers" to be "divided by" "2 tables" "OF" "1 man and 2 women".
6 / 2(1+2) = #of beers. You are our waiter and bring us 9 beers each.
Who pays for the other 48 beers??
BODMAS/PEMDAS is used for primary understanding of algebra. It's not an absolute in the subject. In advanced mathematics, in a/2b, 2b is considered a closely bonded entity hence the answer will be 1. Writing 6÷2(1+2) is extremely sloppy, bound to confuse many. Either write it 6/2 . (1+2) or 6/2(1+2). First equation will get you 9 and the other, 1.
If we apply Concept of PEMDAS in this given expression then answer will be " 1".
But If we use of BODMAS then answer will be " 9". 😊😂
Actually in algebra and mathematics where variables are used, the use of bodmas rule is omitted. But when the problem has numbers such that all of them belongs to the set of real numbers then we have to use the bodmas rule.
A/BC = AC/B
Not A/(BC)
correct answer is 1
do you understand there is b and m both in BODMAS
it's so that during a calculation you don't change bracket(b) to multuplication(m) it's so that you shoult directly multiply 2 with 3 instead of converting it to multiplication
Absolutely
Correct answer is 1.....if we go by bodmas rule 6÷2(3),
Should be 6÷6 bcos the bracket (3) has to be solved first and on removing the bracket it gets multiplied by 2...and then we get 6÷6=1
6 ÷ 2(1 + 2)
6 ÷ 2(3)
6 ÷ 6
1
This is how you are seeing this problem but actually how I see it is
6 ÷ 2(1 + 2)
6 ÷ 2(3)
Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is
3 × 3 and thus 9. What you actually thought was
6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
@@VighneshwarIlangovan
6 ÷ 2(1 + 2)
6 ÷ 2(3)
6 ÷ 6
1
This is how you are seeing this problem but actually how I see it is
6 ÷ 2(1 + 2)
6 ÷ 2(3)
Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is
3 × 3 and thus 9. What you actually thought was
6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
@@dilipkumar-xz9jr
6 ÷ 2(1 + 2)
6 ÷ 2(3)
6 ÷ 6
1
This is how you are seeing this problem but actually how I see it is
6 ÷ 2(1 + 2)
6 ÷ 2(3)
Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is
3 × 3 and thus 9. What you actually thought was
6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
jab (2*3 ) karoge to bracket hat jaayege ek element ko likhne ke liye braket nahi use hota to obviously bracket ke logic se 9 he aayega
Bracket ke baad 'of' ka kaam hoga. 6 ÷ 2 of 3
Correct answer 1, question is 6 is divided by twice of 3 .
Therefore "/" sign should be used instead of ÷
If (1+2) is in numerator,it would be 9 ans and if (1+2) is in denominator,it's 1
Denominator*
@@ITF. 👍
You are right
No ,➗ Because of this you cannot carry down all the digits on the right hand side
@@CyberSecurityProfessional ?
2:58 Here! The monomial becomes violated! Distributive Law is broken! 🚨
To avoid this type of ambiguity always use brackets.
Sir, the problem arises due the ambiguity made in writing down the correct order of operations to the desired answer. For example if the brackets operation consists of multiplying 2(1+2) as (2×1+2×2) =(2 +4) = 6. The correct answer will be 6÷6 =1. Thus the bracket operation must be completed first.
No answer is 9
@@karanbrahma196Let's write the equation in words. Divide SIX pizzas by TWO tables. Each table consists of ONE girl and TWO boys. Answer is ONE each!
@@gbhxu
" Divide SIX pizzas by TWO tables. Each table consists of ONE girl and TWO boys."
Would look like this.
6÷2÷(1+2)
That is not what we have here, is it?
So let's write the equation in words correctly.
You have one set of six pizzas. You split it between two tables. You go back and get two more sets of pizzas. How many pizzas did each table get?
6 Pizzas per set ÷ 2 tables (1 set + 2 more sets)
6÷2(1+2) = 9 pizzas per tables when you are done.
@@MrGreensweightHist gfy
See you have to solve the contents of the bracket first what you are saying is multiplying with bracket we gotta solve the contents that is( 2+1)=3 and then further proceed
Sir I have 2 doubts
1 Why Division Should be given equal priority with Multiplication and
2 why Bodmas Rule should be followed actually What is the reason behind following BODMAS rule
Divison ko equal prio kyun jbki wo to inversely proportional hai Multiplication ke agar ye dono chnge honge to answer pe frk pdega
Bod mas is a self made rule bro.. It is just for understanding of expression.. to write it in a way that any one will understand what you mean to do.. It is made by us
1. Division actually doesn't need equal priority with multiplication, you will get the right answer even if you perform division first in all cases. However, you always have to perform multiplication after division is division is on the left of the multiplication. If multiplication is on the left of division, you can do any one of them first and you will still get the right answer.
2. I can give you a practical example to explain this. Suppose you have 6 apples and you distribute them equally among 3 boys. Then you give them each one more apple. So each boy now has 3 apples, correct? In equation form, you write this as: number of apples each boy has = 6/3 + 1. Now, if you don't follow BODMAS and do the addition first, you get 6/4 which is 1.5 apple per boy. However, as I mentioned above, each boy got 3 apples(think logically, 2 apples given to each boy and one more given after that). So, not following BODMAS here will give you the wrong answer.
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@abhimannukumarsingh8068 I can't find any source on the internet differentiating of from *. Can you show a trustable source where I can find how of is used and it's priority?(genuine question, not being cocky.) of is not a part of the BODMAS rule either.
I have always treated 2(3) as 2 of 3 which basically means 2(3) should be calculate first
6 ÷ 2(1 + 2)
6 ÷ 2(3)
6 ÷ 6
1
This is how you are seeing this problem but actually how I see it is
6 ÷ 2(1 + 2)
6 ÷ 2(3)
Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is
3 × 3 and thus 9. What you actually thought was
6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 from telling you the correct way
@@dapgaming9376 "This is how you are seeing this problem" - which is the way Maths textbooks say to do it.
"but actually how I see it is" - wrong, per Maths textbooks.
"Here, 6 ÷ 2 is a fraction and 3 is a whole number " - nope. 2(3) is a whole number - a(b+c)=(ab+ac) - and if you rewrite it as a fraction then the whole thing has to go in the denominator.
"you can write it as (6 / 2) × (3 / 1)" - no you can't. That would be 6 ÷ 2x(1 + 2) - a different expression with a different answer.
"What you actually thought was 6 ÷ (2 (1 + 2))" - which is EXACTLY the same as 6 ÷ 2 (1 + 2), since the extra brackets you added are redundant, given 2(1+2) is already a single Term as is.
"I couldn't control myself 😅 from telling you the correct way" - and yet you gave the WRONG way to do it 😂
@@smartmanapps5588 He(the host of the channel) himself said it that in some textbooks, the answer is 1. I had, before writing my answer, already got it checked by AI, calculator and my maths teacher (he gave me this question once himself but that was long ago)
@@smartmanapps5588 Also 6 ÷ 2(1 + 2) is actually opened as
6 ÷ 2 × 1 + 6 ÷ 2 × 2
You wrote "-2" but actually it was "÷ 2", looks like you didn't pay enough attention while writing your reply.
@@smartmanapps5588
6 ÷ 2(1 + 2) is opened as
6 ÷ 2 × 1 + 6 ÷ 2 × 2
÷ and × have same precedence so according to associativity, the next step:
3 × 1 + 3 × 2
3 + 6 = 9
2(1+2) = (2+4). At school in the Fifties, we were taught to carry this out as a separate function prior to doing anything else. There is a reason for the number touching the brackets, it makes it its own separate function.. So in an extended equation, 2(1+2) does not become 2 X (1+2), it would have been written that way if that was what was required; 2(1+2) immediately becomes (2+4).
There's a lot of people here proclaiming to be genius mathematicians with 43 degrees in math that can't seem to see the difference.
One correction like sir said left to right solution so 6÷2(1+2) =3(1+2)=3×1and3×2 so it's (3+6)=9 ur method is correct but do it left to right 👍
by your logic, it will end up like 6÷(2+4) which doesn't make a sense. You are confused equations with real number
@@sv8211 Yes, it does end up as 6÷(2+4), which equals 1. It makes complete sense and I'm not confusing anything.
@@aucourant9998 - no. technically brackets are meant for multiplication as you used in case of 2(1+2). so it becomes 6÷x6 when you write it as 6÷(2+4). now is it making sense?
This is a matter of stablish conventions. I had a professor that established the conversations early in the course and I have kept it for the rest of my life because it was really reasonable way of looking at things, but anyway it's still a matter of conversations.
The convention is the well known (PEMDAS) plus implicit multiplication is treated as number by itself.
Following this rules you will arrive at the same answer if the problem is presented as:
6 ÷ 2a where a = 1+2
or as presented in the video
6 ÷ 2(1+2 )
Pretty neat way of looking at things.
Bodmas
@@ChiranjeevGogoi-py9ox Same thing. The order of the letters doesn't matter if you truly understand the Order of Operations.
Here 2a is an entity. If we apply the explanation as per video given, the outcome would have become 6a/2 I.e., 3a which is impossible.
In your example 2a is a single number or 6 in this case, which is the way it should be interpreted. That makes the equation different from 6/2X3.
@@bidyutkumargangopadhyay2625 Look up the definition of a mathematical term.
Sir ji how you directly open bracket by writing into sign ...you have to directly solve it 2(3)=6 bodmas...
O in Bodmas stands for Order which means simplifying exponents or roots in the expression, if any, before arithmetic operations. In certain countries, 'O' is used to represent 'of' which again means multiplication.
If O means multiplication then what does M means?
@@notrishy would you please like to go through the first line.
6÷2×3 ....i
6÷2(1+2)....ii
In some countries ii treated as' of' if parenthesis is there.
@@ind0721 Don't know if O stands for order or anything. I mean if we have exponents or roots then it's pretty obvious before doing literally anything you have to solve it first.
@@notrishy in this video the teacher pointed that left to right is the order
@@ind0721 ? I didn't get it but let's end the argument.
6/2(2+1) Bracket is first
=6/2*3 Order gas priority
=3*3
=9
2(3) is also bracket,by that sense it should be 6/6=1
6÷(2+4)=1
or, 6÷2(1+2)=1
So I think the correct answer is 1.
U r right 1 is right
6÷2(1+2)
If we try to solve brackets first
6÷2+4
Now 6÷2 =3 then
3+4
Final answe is 4
@@apj0886 according 2 bodmas rule first do the breaket 6÷2(1+2)
6÷2(3) then "of" means "×" this now
6÷6 =1
@@apj0886भाई अगर तेरी तरह से भी करें तो भी तूने गलत किया है 3+4=7 तो उत्तर 7 हुआ ना कि 4😂
और दूसरी बात इस तरह से ब्रैकेट नही खोला जा सकता
6÷(2+4)
इसे अगर खोलोगे तो डायरेक्ट नीचे जायेगा पूरा
6/(2+4)
😮@@apj0886
Calculator also says 9
Think how the computer will solve this.
Computer will conver the expression into postfix : 6/2(1+2) => 62/12+*
Then, it will put each operator into stack and solve left to right.
So, not sure if computer will be right or wrong here 😀
Some calculators say 9 while others say 1. Casio calculators say 1 or 9 depending on model
Both 1,9 must be correct because if (1+2) is assumed to be x, by both the ways, value of x is 3
Ye batao (1+2) numerator me hi ki denominator, numerator me hai to 9 agar denominator me hai to 1 , aur yaha denominator me hi diya hua hai naki numerator me isi liye 1 is the answer
@@IronDhruv ok ok
Calculator ans 9 de rha h
Lol what? In graph, this polynomial in terms of x shows a straight line. 2 answers are not possible.
Also you did a mistake
@@e_pi_i_is_-1 ok my bad
Respected Sir,
Kindly give an example where "of" will be used . You have solved the bracket as first priority in BODMAS. Then "O" means of should be the second priority but u replaced o with multiplication and went left to right for solving.
Best comment
We learned in school that O stood for of because we would get problems such 2/3of 2 litres is added to 1/5 of 5litres.
9
agree
Nonsense
Sir many teachers are saying that this is the wrong equation because the question state that 6 is divisible twice of sum of 1 and 2 so we have to first 2 multiplication with 2 and 3 then after we have to divide it by 6
Is this a right statement
By the way it is not an equation.....it is an expression. And your teacher is right and it is his prospective of what he interpret it. Actually it is ambiguous expression in this case a brackets should be placed in between the operator and operand to avoid such ambiguity. But if we follow the convention the answer will be 1 because implicit multiplication takes precedence over division. Ex:4÷2x=4/(2x) so by this we conclude that 6÷2(1+2) =6÷[2(1+2)].hope this help.
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@abhimannukumarsingh8068 9 is the wrong answer because it's NOT 2*3, IT IS (2*3) !!!
6÷2(1+2)
6÷2(3)
6÷2 of 3
6÷6
1 Ans
Note : jab waha pe multiply mention nhi kia jata to ham usko of mante hai jo ki multiply ke jaise tackle kia jata hai aur bodmas mein of 2nd priority hoti hai
6/2(1+2) : Imagine a fraction with N/D in the n there is only 6 and in the D there is 2(1+2) because we can't seperate the terms in paranthesis so this will become =>
6
--------------
2(1+2)
6
=> -----------------
2+4
6
=> ----------------------- => 1
6
Hence the answer is 1.
if 2(1+2) was put in second bracket this would have been correct. But the denominator of 6 is only limited to 2 because it has not been put with (1+2) in a seperate bracket.
Hag diya
@@LuffyTaro486Abe sabse bada chutiya tu hai dusro ko judge karne se pehle khud ko dekh
If we divide 6 by any positive number which is more than 0,how can we get more than 6?
We divided 6 by 2 first and we got 3 which is smaller than 6. After that, we finally multiplied 3 by 3 and we got 9. Hope you understood.
It is so easy math..
The math isn't hard..
The math=6÷2(1+2)
=6÷2×3
[[As we know,,any number divides by 2 is equal to any number multiplies by (1÷2)]]
Which means=6÷2×3
=6×(1÷2)×3
=6×0.5×3
=3×3
=9
The answer of the math is 9..
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@abhimannukumarsingh8068❤
@@abhimannukumarsingh8068 The concept 'of ' is a total misconception in traditonal education system and it is a cliche. What can be a matter of contention is the dot product which has an obvious higher precedence than cross product. But that is possible only for vectors. AB = A.B (potato potato). And in case if anyone assumes magnitude of A as 2 and B as 3, there is no guarantee if those lie on the same plane or not unless the unit vectors are specified distinctly. So the value of 2(3) according to dot product can either be 6 or 0 which can lead to another possibility to the answer of this problem that is undefined (6÷0)
Well me and chat gpt both disagree . According to us answer is 1. Distinguish between 6/2(3) and 6/2x(3) is crucial . In first it consider that 2(3) is denominator while second equation only 2. And it will effect PEMDAS approach.
2(3) means 2 of 3 . 2×3 means 2 multiplied by 3. According to BODMAS rule "of" takes more priority over "multiplication and division" of>division
So, 6÷2(3) = 6÷2 of 3 = 6÷6= 1
Therefore, "1" is the correct answer.
I think if f(x) is read as “f of x” then 2(3) would be read as “2 of 3” and 1 would be the right answer.
Right bro
Remember, the equations written as f(x)=z or g(x)=z require f and g to be considered functions, which are not considered variables or constants by any means. Simply put, f(x) does not mean f is being multiplied by x. It is just used to name a polynomial. Therefore, assuming 2(3) would be the equivalent of assuming f=2 and x=3 which is wrong.
However, If you think I'm wrong, please let me know, I would appreciate the corrections.
The f(x) is a totally different thing bro 😂😂 , the 'f' denotes a function .For example in trigonometry when we say sin(A) it doesn't mean sin is being multiplied by A 😂😂 ,
That 'f' in f(x) is called "function" but here in 2(3) it's 2*3
If it was (2*3) then your ideology could have been correct but here it's 2(3) and since there is no operation inside the bracket the bracket vanishes and the multiplication operation is considered
Function is a totally different thing.
And if there is any then there should always be an output,
Function means what operation are we gonna do to "x" to get an output "y" .
For example, In a question it is given the f(x) =y such that y=x+10 , then for any value we put in place of "x" we gonna get a number output which is 10 more than x
Like if we put 10 than
f(10)=20
If we put 15 then
f(15)=25 ,
Function is a totally different thing from the usual operations of arithmetic
This functions you're gonna learn in higher advance mathematics in a chaoter called (Relations and Functions) which is based on a chaoter called SETs
If it’s not 1, blame my high school teacher
This is 1, sir made a mistake between of and ×, 2(3) means 2 of 3 not 2×3, of has a higher priority than division
@@Head_hunter21 this is where you are wrong there is no (3) , in mathematics the bracket immediately vanishes right after we solve the problem inside the bracket, i know you might think of me as a psychopath but 2(3) is not read as 2of 3 , the word "of" is used in a chapter called function the expression f(x) read as f of x but here in this case it's no function it's only the usual arithmetic operations, and if there were any "of" then it would be mentioned (like 2of3) if there isn't any operation mentioned in between then it's multiplication by common sense , what i meant to say that it's not of , if it was it would be mentioned as 2of(3)
@@Head_hunter21 one thing, most importantly done put the 3 inside of bracket , the bracket is of no used since there is no operation inside the bracket,
@@natalia5609 ok, but when you do that 2(1+2) it's clearly not 2×3, its the special time when OF is used
⚠️BODMAS
BRACKET OF... (1➕2) = 3
DIVISION.. 6➗2 = 3
MULTIPLICATION... 3✖️3 = ANSWER 9️⃣
Simple & common rules of mathematics are always commonly correct😊
The problem is that basic rules are only the foundation of math. As evidenced by the fact that there is so much confusion over this. That's where you need more advanced rules to clarify what elementary school math falls short on. In this case, we have the Distributive Property, which states that a(b+c) = (ab+ac). So whatever answer you get for 6 ÷ 2(1+2) has to be the same as the answer you get for 6 ÷ (2*1+2*2). So 1 is the correct answer.
@@cryofpaine Funny how you are applying additional parentheses where they are nonexistent in the original expression. You're in essence saying that the expression is 6÷(2(1+2)).
🤣
@@joenarbaiz1640 No, I'm following advanced mathematical principles. And by "advanced" I mean 6th grade instead of 2nd. The 2 is explicitly tied to the parenthesis as a coefficient. What you are doing is in essence saying that the expression is (6÷2) * (1+2).
@@cryofpaine Why did you put the word advanced in quotation marks?
Again, I am laughing at your feeble attempt to insult me.
The expression is purposely ambiguous and requires clarification by the use of additional parentheses. Parentheses are used to modify the natural Order of Operations.
@@joenarbaiz1640 because advanced is usually reserved for things like trig, calculus. Not pre-algebra (if it's even considered that). The thing is, it isn't ambiguous. Because of the use of the ÷ rather than /, it is perfectly clear. The 2 is explicitly part of the term 2(1+2), which is the denominator. If the / had been used insted, then it would be ambiguous between
6
----------
2(1+2)
or
6
--*(1+2)
2
I did this on fx-82ms calculator
Answer is 1, not 9
You never replace brackets with multiplication.
Correct answer 1
First solve bracket
Pl.refer this problem to an expert
I may be wrong.
My understanding is that 6/2*3 is different from 6/2(3).
6/2*3 is 9 but 6/2(3) is 1
6/2*3 isn't much different from 6/2(3), because when you say 6/2(3)=1 you are just performing multiplication before division, not following the bodmas/pemdas rule. However, this can be true if it was 6/((2)(3)) equating to 1. Always remember the operations inside parentheses are to be performed first, and then solve the equation, treating
x/y(z) as x÷y×z.
Hope this helped.
sem here
@@naeemmian4032 the way you have put the equation, it doesn't leave any doubt/confusion
You teaching is top notch. Any proper structured tutorials for learning mathematics from absolute basics to advance ?
Sir, you said addition and subtraction ki same priority hoti hai , but bachpan se padhaya jata hai ki addition has more priority and wahi Bodmas se bhi dikhta hai
Example 6-2+3 ka answer 1 hoga and not 7 , 1 if addition has more priority and 7 if equal priority
-2+3=1..so 6+1=7
Can you explain how do we get 1 ???
@@factorpro485 In bodmas questions you don't consider signs of numbers , consider 2+3 =5
@@SOMEONE-kk1nc like i said addition should have higher prob according to bodmas(that's what we were taught in childhood,maybe it changed) , 6-2+3=6-5=1
@@arnavverma2461 i gues you mean
6-(2+3)=6-(5)=1
that's the only way we can 1
Thankyou for such a good information ℹ️
6➗2✖️(1➕2)=9
6➗2(1➕2)=1
The problem shown, the one we were asked, is the second one. The multiplication has already been done before you work through the left to right sequence.
So it becomes impossible to use fractions to represent decimals in distributive multiplications?
Which breaks the concept of equality that mathematics are based upon.
Incorrect.
9 is the right answer kya lol question h 😂
1
1 is correct ans
1 will be right
Because
There is difference between 2(3) (this operation will be performed first) and 2×3(will be performed later).
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
6÷2(1+2)
According to bodmas rule we have to solve the bracket first
=6÷2(3)
=6÷2×3
According to bodmas rule we have to first divide and then multiply
=6÷2×3
=3×3
=9
You are wrong
Acc to bodmas bracket is solved first
6/2(3) that is=1
Every teacher saying that this is wrong or that is right answer while PHD scholars in mathematics said that brackets are cheap
This question is wrong It is not fully defined
It can be interpreted in any of the 2 answers.
The both answers are correct of this question
Bro bt than it will be 6 is equal to 1 that can broke the maths!!
@@sakshamgamer5712 Bro the question is wrong the PhD scholar said that These types of bracket questions can be interpreted in 2 answers
Because we can write A(B+C) = A*B+A*C
And it can also be written as A*(B+C) = A*The sum of B+C
Sorry if I didn't recall it properly but the PhD scholar said that brackets are cheap and he proved it with example.
@@sakshamgamer5712 Here u go
Sigh. I have a Ph.D. in mathematics, and strong opinions. I don’t care how many acronyms people make, and I don’t care how often they make claims about the “correct” order of operations.
The real answer to this question (and to all similar tedious questions) is that the result is ambiguous. You can’t interpret a sequence of mixed multiplication and division operations without making up some arbitrary rule that isn’t worth remembering. So don't do it. Parentheses are cheap. Use enough of them to make sure that there is no ambiguity. (“for life is not a paragraph, and death i think is no parenthesis” - e. e. cummings)
Now, why do I insist that the usual rules (like left-to-right order of operations) are arbitrary? Because they aren’t intrinsic properties of the fundamental algebraic operators. Addition is associative and commutative. Multiplication is associative and commutative and distributes over addition. The latter property is the one that says A∗(B+C)=A∗B+A∗C
. And leads to the one precedence rule that everyone remembers: in the absence of parentheses, do all the multiplications before the additions. No one thinks that A∗B+C
should ever mean the same thing as A∗(B+C)
.
You will note that I didn't include subtraction or division in the previous paragraph. That's because they aren't primary, fundamental operations. They are secondary, derived operations. The algebraically more important operations are negation and inversion. Subtraction is just adding a negative number. Division is just multiplication by the reciprocal or multiplicative inverse.
@@meghanada1264 yeh sab nautanki karne ke liye phd kiya hain...school ke baccho ko kya sikhaoge....ki bracket gaya tel lene...numerator denominator kabhi karna hi maat..ye sab sikhaoge
@@souravpaul2179 Ye question aap us PhD scholar se puchiye jisne ye reply Diya hai
Waise wo sahi bol Raha
Question me full details nahi di gyi even
Programming languages me bhi developer batate hai ki woh computer ko full details dete hai jaisa ye question hai aisa half details se kam nahi chalta
Phir computer us details ke hisab se hi answer interpret krta Hain aur ye question half details ke sath diya gya hai isliye iske 2 answers aa rhe hai.
ANSWER IS 1 (ONE).
ANY OTHER ANSWER IS A BS.
(note: just saw this thumbnail, haven't watched this yet, even a sec, and haven't read any single comment)
6÷2 (1+2)
6÷2 का (of) (3)
6÷6
Ans = 1
One has to use Of (का) between 2 and (3)
जहाँ किसी संख्या और ब्रैकेट के बीच कोई चिन्ह नहीं होता वहाँ "का" मतलब Of का प्रयोग किया जाना चाहिए न की multiplication (×).
So, if BODMAS of PEMDAS is used correctly and logically, the answer is 1 and not 9.
Yes it is correct. AAP bol to rahe hain BODMAS rule toh bracket ke bad O for Of ka use hoga.
Correct answer is one only
Brackets has more priority than
Multiplication if you see this ans in our regular calculator or in phone calculator it shows 9 which is totally wrong because
It doesn't follow BODMAS
But if we check in scientific calculator it shows 1 which is correct so all the time regular calculator are not correct follow scientific calculator
Sir, could you please tell me why haven't you use the rule of a/2b ? Isn't it the rule of mathematics? 🙏
You're right and the answer will be 1
this is not a/2b, it is (a/2) * b
@@hound_op5037 oh
Then what is the value of (1+2)2÷6 PLEASE SIR JI EXPLAIN 💞💞💞YOU ARE BEST TEACHER 💞💞💞
0.99999999999≈1
2(3)=6
2(3)=2×3 is relevant when other processes are not there.
You cannot replace bracket unless you multiply 2 with 3
People who think 6÷2(3) can be written as 6/[2(3)]
Give it some more thought, if you think bout it, it can be written as(6/2)×3, the problem is with how the question is written, the question is not wrong, but keeping in mind that people should be able to understand it, I'll write it so that everyone understands (6÷2)(1+2), the problem was that people got confused if the term (1+2) was being multiplied with the numerator or the denominator, In order to get the answer 1, you have to write it as 6÷[2(1+2)]
Legend knows that it is reuploaded.
Yes, but why sir reuploaded it
@@abinashbarik6822 lack of content
XD..... 🗿🗿🗿🗿🗿
Yes
@@dedicated2304 🤣🤣🤣👀❤️🔥
yes, i also know too, me kal iss video ko bagut search kara but sur ne purana wala delete kar diya tha.
My contention is that PEMDAS and BODMAS are misunderstood and misapplied. They work well when there are simple expressions without any grouping. However, when an expression contains a grouping as in the viral expression many do not fully resolve the group and only perform the operation inside of the group; e.g. in the expression 6÷(1+2) * 2=4. This example shows explicit multiplication coming after the group so using PEMDAS/BODMAS it is evaluated left to right as it becomes 6÷3*2. However, this example does not apply to the viral expression as the subexpression 2(1+2) with the implied multiplication is a unique value in itself because it is the factored form of (2*1+2*2). The 2 outside the parentheses is the GCF of the expression and as such is tied to the group in that it has to be "distributed" to the terms inside the parentheses. So, in order to resolve the group, the parentheses in this case, one cannot simply do the operation inside the parentheses and consider that one is finished with completing the group operation. When the viral expression is written as 6÷2(3) this is wrong and should be written as the distributed expanded nonfactored version as noted above. That is the 2 as the GCF must be distributed across the terms in order to preserve its value. Let me also point out that several field axioms of number properties in addition to the distributive would also apply here such as the associative and commutative properties over multiplication. If anyone feels that the viral expression should have a single answer then what if we were to apply commutation to the expression and write it as 6÷(1+2)2? it would solve to 4 according to PEMDAS. Note that 2(1+2) and (1+2)2 are the same value as one is right distribution and the other left distribution and as equivalent values can be substituted for each other. BTW, as the two outside the parentheses is, as noted, the GCF of the group one cannot solve by using multiplication by the reciprocal as this would change the GCF to a fraction which by definition cannot be.
Why you wrote this much big???😅😅
You are right, I got carried away and overwrote a reply. But let me clarify one thing: a group that is modified by a coefficient (as in implied multiplication or juxtaposition) whether it is a factored expression or not should be calculated before other operations are performed on it. Thus, 2(1+2) resolves to (2*1+2*2) which the group then equates to 6. With this method the viral expression must compute to 6÷6=1. @@vikalp_69.
Sir ye problem 1 minute ke shorts me bhi discuss ho sakti thi , aap jo shorts me 2x me content dete ho usko long format me bana dijiye aur mains ke ache concept wale question bhi discuss kijiye sir🙂
😂😂 correct said🤧
its all for clout
To determine the value of the expression 6÷2(1+2),
we need to follow the order of operations, often abbreviated as *PEMDAS/BODMAS:*
P/B: Parentheses/Brackets
E/O: Exponents/Orders (i.e., powers and square roots, etc.)
MD: Multiplication and Division (from left to right)
AS: Addition and Subtraction (from left to right)
Let's break down the expression step by step:
1. Parentheses/Brackets: Evaluate inside the parentheses first.
1+2=3
So the expression becomes:
6÷2(3)
2. Multiplication and Division (from left to right): Perform the division and multiplication from left to right.
Here we have two operations: division and multiplication. According to the order of operations, we proceed from left to right.
6÷2×3
First, perform the division:
6÷2=3
Then, multiply the result by 3:
3×3=9
Therefore, the expression evaluates to
9.
*Explanation:*
The confusion often arises because some might interpret the expression differently, grouping 2(3) together before performing the division. However, according to standard mathematical conventions (PEMDAS/BODMAS), multiplication and division are performed from left to right as they appear.
Thus, the correct and mathematically logical interpretation of the expression
6÷2(1+2) is:
6÷2×3=3×3=9
*So, the answer is 9*
9 is the answer.
60 years ago my father taught me when i was in std six.
He gave me a formula in Hindi "का को पहले काटिये भँगा देहु भगाय ।
गुणा काढ़ि, धन जोडिये, ऋण को देहु घटाय.
का means = of
eg one Third of 9.
Of course this formula should be used for solving innermost bracket first , to outer bracket.
As the formoula in poem says solve the bracket first:
6÷2(1+2)
=6÷2(3)
=6÷2×3.....brack removed. Now solve ÷
=3×3..... Now solve ×
=9
As per formula in poem division has priority over multiplication so is ...
Plus has priority over minus.
Simply use BODMAS rule
B-BRACKET
O-of
D-division
M-multiplication
A-additon
S-subtraction
Taught in class 4th or 6th idk but ya
Sir I am watching your lectures on Physics Wallah
Plz tell me, are those lectures enough for JEE MAIN and ADVANCED?
If not, where can I watch from to cover for the syllabus?
I prefer to study from your lectures
Use cengage and mohit tyagi
Me too
See, is falana enough for dhimkana type of questions are useless. You will never able to crack any sort of examination if you always doubt your self.
Opt for least preparation sources and practice them as many times as you can.
You understood what i am trying to say.
Those who buy huge bunch of resource, they never able to master any one .
If you are studying from any coaching, plz stick to them. Test your self daily. By solving 10 question daily like a test.
no they are not enough mai bhi usse hi pdha hu or jee mains ka is baar paper diya and they are not enough
@@rachitmahajan9313 bro mai 9th mai hoon and maths and physics mujhe jee mains till 31st Jan was easy for me. I could solve almost everything.
The ambiguity in the expression 6/2(1+2) arises from the way multiplication is implied. It can be interpreted as either (6/2) * (1+2) or 6 / [2 * (1+2)].
1. Interpretation 1: (6/2) * (1+2)
Here, you would first perform the calculations within the parentheses: 1+2 equals 3. Then, you'd divide 6 by 2 to get 3. Finally, you'd multiply 3 by 3 to get the answer 9.
2. Interpretation 2: 6 / [2 * (1+2)]
In this interpretation, you'd again start by calculating 1+2 to get 3. Then, you'd multiply 2 by 3 to get 6. Finally, you'd divide 6 by 6 to get the answer 1.
To avoid confusion, it's recommended to use explicit parentheses to clarify the intended order of operations.
The correct answer is 1, as per bodmas rule final step is 6÷2of 3 only (not multiplication), then 6÷6=1
IT'S just ;
6÷2(1+2)
Now BODMAS Use 'Bracket off'
6÷2(3) 6÷2×3
So now "Division''
6÷2×3 = 3×3= 9 ✓
Note: Addition can be done during Bracket off
Else 6÷2×1+2×2 (It's direct multiplication)
Bracket is NOT simple
multiplication
It has its own priority!
My whole life was a lie😂
ai
To evaluate this expression, we need to follow the order of operations (PEMDAS):
1. Evaluate the expression inside the parentheses: 1+2 = 3
2. Multiply 2 by the result: 2(3) = 6
3. Divide 6 by the result: 6 ÷ 6 = 1
So the final result is 1.
Using the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, and Subtraction), we evaluate the expression as follows:
1. Brackets: Evaluate the expression inside the parentheses: 1+2 = 3
2. Orders (none in this case)
3. Division: 6 ÷ 2 = 3
4. Multiplication: 3 × 3 = 9
So the final result is 9.
Mtlb meri soch 1917 se bhi purani h 🙄
Priority order of division and multiplication same because
6÷2(2+1)
=6÷2×3
=6×1/2×3
=9..........becuase divide ko hm multiply me change kr skate hn....jisse sb multiply me aa gya toh sb ka priority same hn😉😉😉
.
How funny is it to see even now people commenting being on side of 1 as the answer ! 😂😂
1 is the correct answer for the equation not 9.
If there is no any sign in front of bracket we treat it as multiply but we solve this first .
If there is any sign in front of the bracket then we apply BODMAS.
6 ÷ 2(1 + 2)
6 ÷ 2(3)
6 ÷ 6
1
This is how you are seeing this problem but actually how I see it is
6 ÷ 2(1 + 2)
6 ÷ 2(3)
Here, 6 ÷ 2 is a fraction and 3 is a whole number and if you want, you can write it as (6 / 2) × (3 / 1) which is
3 × 3 and thus 9. What you actually thought was
6 ÷ (2 (1 + 2)). Hope this helps. I know it's been months but I couldn't control myself 😅 about telling you
9 my correct answer😍
Calculator me karoge ekbaar
@@afrozali2202 maine abhi karke dekh liye bhai... Ushme bhi to 9 hi aata hai😀
Please attention : The correct answer is 1 and not 9 . BODMAS itself says that Brackets must be solved first and then the rest ...
This guy is treating Brackets as multiplication 😢 which is absolutely wrong . I know this question is a series of debate ... But I request Every TH-cam teacher or Videomaker to please correct it and post a video 🙌
Me feeling proud after my answer matched with his answer...😂
Bhai Mai tho thumbnail dekh ke hi nikal diyam tha answer 😂😂
@@Captain67813z same here..
@@Captain67813z 🤣🤣same bro
9 is the wrong answer because it's not (2*3) ....it's 2 of (3) so right answer is 1 ...most of the hindi medium students know this because there is another sign of multiplication is word "Ka" in hindi or "Of" in English if these word is there in question you should apply it first then division...I hope you should understand. I know most of the people say where is KA or Of word sign in this particular question? My friend whenever bracket close and if there is no multiplication sign then we should apply this method ....there is difference between " * " this multiplication sign and " Ka " or "OF "
@@abhimannukumarsingh8068 mujhe kya mai tho neet wala hu.
Sir ye bodmas/pemdas kya hota h i know what is it but ye kisne banaya aur kya proof h ki ye correct h, logical proof?
Every maths student laughing at this question😂😂😂
th-cam.com/users/shortsXfo83pmOt70?feature=share
Love you Sir ❣️❣️ your way of explaining is OP .
If we understand that the element within brackets as of then it is simply done.
9 is answer
According to BODMAS rule, the logic is simple the division operation (÷) only holds for 2 but not for 2(1+2)
So, 6÷2(1+2) =9
Or (6÷2)(1+2) =9
6÷[2(1+2)]=1
6/2(3)=6/2×3=1
Mathematicians represents a÷(bc) as a/bc but not a÷b(c) and a÷(b+c) as a/b+c but not a÷b+c
9 for sure.
2*3 me jo bracket hatne ki baat ho rahi h , 2(3) - isme jo bracket bach gaya wo koi bhi mathematical operations hold nahi kar raha h 2(3) stage mai, toh fir ye (3) iss wake bracket ko bracket ki value nahi milegi - Mathematical operation 2(3) me multiply ka hai toh ye sahi h.
6÷ 2*3 ab isko solve karo.
Aaplog jo keh rahe h uske liye {6÷ 2(3) } ye hota.
Solved it correctly 👍
I lost my job because of this question
😂😂
😂
Rule = BODMAS ( Left to Right Solve)
6÷2(1 + 2) .°. 3 (3) .°.3×3=9
Answer 9 ✓
😂😂
Thank you excellent demonstration. Hope this type of teaching is carried out in all schools in India. May the good Lord bless you. Regards Joseph
Simple thing is that answer changes as the way of representing question changes for ex if we say solve 6 divide by 2×3 then the answer will be 1 and if the question is 6 divide by 2 multiply by 3 then it will be 9 i hope you guys understanded ❤
This is a very 6-7 year old problem, right now accidentally viral in indian twitter community.
There is something called BODMAS ok.first prioritize the bracket so 6÷2(1+2)
=>6÷2×3
According to Bodmas;
Division =Multiplication (same priority so left to right)
=>(6÷2)×3=3×3=9
I really don't know why everyone is so much considering this question! I just saw the thumbnail & within 5 seconds calculated the answer as 9. I swear! It's no big deal. Yet, thank you sir. ☺️
You are wrong solve 6÷2(-1-2) by bodmas and decide the correct answer
@@Maths-teacher-diwakar91 The answer to your problem is -9.
Brackets come first right?
@@almond3963 Yes, but more precisely, operations inside brackets. After those are solved, brackets may or may not be treated as multiplication.
@@naeemmian4032 oh so after everything is solved inside brackets its treated as multiplication? I thought since brackets come first we should multiply with 2 first Thanks for answering
Sir i love your teaching. Best teacher on TH-cam
It also come under algebraic expression that is -
A÷b(t+r)
=A/b×(t+r)
I substitute
6÷2(1+2)
6/2×3
18/2
9
6÷2(1+2)
= 6÷2(3)
= 6÷6
= 1 answer
BODMAS
ist solve whatever is within the Brackets
>than Off the Brackets (i.e remove Brackets) ,brackets is also a form of multiplication
>than Divide ÷
>than multiply x😊
>than Add +
>and lastly Subtract __
Exactly, you are not supposed to replace bracket by multiplication sign. You simply remove the bracket by doing multiplication. The answer is 1. Sorry for his students 🤣
Mathematics students laughing on corner 😁
🤣🤣🤣🤣🤣🤣
😂😂😂😂😂😂😂
I think 9
Edit - mera answer to sahi nikla bhai aur me imagine kar rha hu kahi me great mathematician na ban jau me sir ke jaisa same rule se kiya tukka nhi lagaya😍
Chup be semde 9 galat hai iska ans 1 hi hai wo konsa kitab use Kiya dikhane bol to BODMAS me ye order ka use hi nhi kiya isne jab ki phle order ka hi use hoga kuch bhi bak Diya ye left se karna cahiye etc etc
Balak 😂
Nothing is impossible in the world believe in yourself 😉🙏
No dear, you are wrong......when you write 6÷2(3),,,,,it means, still bracket is there, you have not removed /solved bracket yet......so after removing bracket, it will be read as 6÷6 and after solving it, the answer will be one and only 1,,,,,,,no confusion.
No dear ,,, bracket means multiplication then we should solve it left to right
Yes answer is 1. We cannot divide by two . We need to solve bracket as one unit and then divide by the product ie 6 so answer is 1. I am a ex post- graduate teacher.
You are wrong . Calculator also it's nine
Yes my answer also 1
Wow, he is teaching? The wrong answer is 9. Probably you guys are not from CBSE school. You all are from state school. The answer for this is 1.
@Bruno_irl which class now?
You have not read functions? Difference between functions?
@sudhirkaveri9167 where the hell is the use of Function Theory here ? 💀
When you did not study BODMAS rule 💀
Pls look,
=6÷2(1+2)
Read as 6 devided by 2 multiply with the addition of 1 and 2
Now do as read
=3×3
=9
I have not applied any rule, just read the mathematical statement and solved in the order of reading.
Like if like
❤you can apply it on other mathematical statements.👍
what BODMAS means {Bracket, Of, Division, Multiplication, Addition, and Subtraction} then what's come after bracket ! don't u know ?? there is "of" means =6/2(1+2) =6/2 of 3 =6/6 =1 ! this is correct