Order of Operations (PEMDAS) - Let’s Learn Step by Step…
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- เผยแพร่เมื่อ 22 ส.ค. 2022
- Learn the Order of Operations (PEMDAS) - "Please, Excuse, My, Dear, Aunt, Sally" which stands for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
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I remember doing this in 3rd and 4th grade back in the 70's . It's true what they say if you don't use it you lose it! My 13 year old son is doing the new math
and is way over my head. Awesome video!
I love these equations! Thanks, Doc!
Thank you for the refresher, I will keep following
Thank you very your help is well appreciated 🙏
Needed a little PEMDAS refresher before testing for marine bootcamp thanks man!
It makes me feel more confident about my math when I have a teacher who gives partial credit. I was asked to find the common height of two triangles with different bases in trigonometry class. I did not know how long the bases were, but I knew that one base was 40 meters longer than the other, so this could be expressed as X and X+40. The variable, H, represented the height. I had my system of equations, got the H alone to equal a sum of X multiples and plain units, combined, plugged in that combination for H, and solved the variable X. This was a six point problem on my trig exam and I was lucky that I had a teacher who would give me three points out of six for this one problem. What I did wrong was I have failed to answer the question. I have successfully solved the variable X, but X represented the base of the smaller triangle and the question was all about the height. At that point, I still needed to use one more tangent function as the still unknown height over the previously solved base, then multiply the tangent function times the base to get the height. Whether if you are in calculus, algebra, geometry, or pre-algebra, you will encounter similar situations like this, especially with word problems and if you are going to get a perfect score on your exams, you are going to take the extra steps necessary to answer the questions.
Thank you your really helpful 🙏
1 because it goes Power, Multiplication, then Division.❤🎉
Thank you sir
Thank you for the trick questions, your work is not in vain. I am studying to eventually become a PE
May I ask a question about tower of exponent sir? For example a^b^c Using parenthesis to make it clearer, I mean it as a^(b^c) not a^bc. We do the exponentation from top to the bottom.
I still have problems multiplying, dividing and subtracting negative numbers. That is where am getting it wrong otherwise mt steps is very ok. Thanks for your relentless effort i learnt a lot from your videos,
16 ius the right answer, but you did it in the wrong sequence. Exponents 1st, in the absence of paranthesis.
I teach to do the ‘square first’, to follow PEMDAS.
???????🤔
what if it's a cube? You do the EXPONENT 1ST, regardless of it's value.
Thank you so much dear Sir. But I found the first example really confusing, although that's expected in mathematics, especially since the order of operations were not followed exactly as intended. I see that in American educational system, PEMDAS is used as Order of Operations, and I find that quite interesting. However, from my Nigeria educational system, we use BODMAS. Brackets, Orders, Division, Multiplication, Addition and Subtraction. Hence, when I did the first example, I followed the BODMAS operations exactly and came out with the answer as 16. I am happy that I can have both operations at the back of my mind.
Thanks once again.
PEMDAS and BODMAS are equivalent expressions. If you are comfortable using BODMAS, and understand how left-to-right operations are the "default" in the absence of operations of overriding precedence, then you should do well.
bro the math teacher aint reliable
@@jixuanwu4009 I suck at math and he was able to help me see it’s really left->right no matter what operation. You don’t HAVE to always do multiplication right, it’s either OR on whichever comes first.
BODMAS (or PEMDAS) should be written BO(DM)(AS). The parenthesis showing that multiplication and division are at the same level. As is subtraction and addition.
The definition is not clear either. How to calculate 1/2x when x=3?
Is it (1/2)*3 = 3/2 or 1/(2*3) = 1/6? Numerous text books in math will interpret 1/2x as 1/(2x), not (1/2)*x. So PEMDAS is not a clear answer.
How I remember PEMDAS in school
P-Please
E-Excuse
M-My
D-Dear
A-Aunt
S-Sally
😄
16 divided by 4 x 4= 4x 4= 16. I’m finally getting it!
I say the answer is 1 : 4 * 2 squared/16= 1
The good answer is 1
And what about expressions with juxtapositoned variables? PE(MD)(AS) can led to incorrect results. In short: use brackets to make things clear!
nice
Yes the videos from years ago are helpful yt, hush.
16
Ok so most of these I get right but is there a practical reason for these equations aside from making some of us confused?
👏👏👏
what is 2[-32] +1
How about PEDMAS? I have seen both taught. Which is correct?
They end up being the same because multiplication-division have equal precedence
I still don’t see how -25 is + -7
How do we know to add here.
I thought you would multiply at first -25 x-7
Then I thought -25 subtract -7
How did that part become an addition problem?
Think of this as degrees. If you're at -25°, and you turn down the thermostat another -7°, you get to -32°
@@mzkatbee463 but how do I know it’s addition and not multiplication?
@@mzkatbee463 Did he state that some of the problems in this math equation doesn’t have Parentheses
Use the sign rules.
@@cassben8608 Because the "minus" sign is between them. Please don't confuse it with: (-25)(-7), which would require multiplication.
What we have is (-25) - (7) which is the same as -25 + -7 because the definition of subtraction is, "Adding the opposite". So, instead of subtracting positive 7, we may rewrite as adding negative 7. Subtraction is nothing more than a form of addition.
40😀
I messed up on the third step (-25)-(7) I got a -18
1
Nope, its 16
Turns out i knew PEMDAS right, even though nobody told me the technique is named PEMDAS when i passed it.
why is 2[-32] +1 incorrect
It 4
2 square units
-63 answer
No discussion on order of operations is complete without mentioning that PEMDAS is not the only parsing style used in the world. In fact, PEMDAS is only about 125 years old, being first introduced by math textbooks in English speaking countries. It's not clear why PEMDAS became the defacto parsing style other than that's what the textbooks taught. The previous style -- and that used in the majority of the world to this day -- prioritizes multiplies over divides with all multiplies being evaluated first regardless of where it occurs in an expression.. This style was and is preferred by physicists and some mathematicians because it makes expressions less messy and easier to typeset. PEMDAS found a welcome home with computer programming languages because these parse a text line at a time and there is no way to represent the divide bar
(edit symbol vinculum) which can group numerators and denominators of unlimited lengths. This is opposed to the inline divide symbol (dash with two dots, edit symbol obelus) which cannot group on its own. Because the ubiquitous original ASCII character set does not include obelus, programming languages have adopted '/' as the divide symbol. It is common misconception that the divide bar and obelus imply different operator priority but this is not true. It is true that some high-end calculators recognize the two parsing styles and permit the user to specify which is used to evaluate expressions. This is required for international markets and may be the source of the misconception. Because western nations dominated computer development PEMDAS has become more widely known in non-PEMDAS countries. But be aware that programmers and mathematicians treat this as a religious matter and will claim the parsing style they were taught in grade school is the one true method of mathematics.The takeaway is that everyone who writes, evaluates and particularly teaches expressions must be aware of this dichotomy and avoid ambiguity by explicitly grouping symbols to coerce a specific evaluation. To not heed this warning is to ultimately cause a disaster as two persons of different educations may well compute wildly different numbers for the same expression.
Thank you. I was taught to use as many [], {}, and () as necessary to ensure there is no ambiguity in what you intend.
Pemdas, bodmas. Bedmas, and bodmas are all the same around the world
The idea that multiplication has precedence is incorrect.
I fully agree. We should us as many parentheses as needed to make it crystal clear how to read a given expression.
16 ?
64
_ 64 + 1 = _ 63
when you evaluate algebra equation just do the reverse of this
You mean "solve" equations. Expressions can be simplified or evaluated; equations get solved.
What error?!? Please explain what is wrong with doing the implied multiplication in Line Four (which is of higher order, and is on the left, to boot) before doing the indicated addition (the + 1) to the right? At the point where the expression in [ ] degenerates to a single term those [ ] become irrelevant to further operations EXCEPT that their presence in 2[-32] implies a multiplication operation. The result is correct. That is the best test of whether or not the order of operations was observed in evaluating the expression. You have left me somewhat confused.
He was saying hypothetically if a teacher finds an error in one of the steps, then the student could still get partial credit. He was not saying that there was an actual error there.
@@cbesthelper404 Yea, and someday that engineering student will design a bridge and it will fall down. Well, at least he got partial credit.
@@ronaldtownsend5745 No enlightenment there. Maybe your critique should be directed to the instructor in the video. He said that he would offer partial credit, and I am merely pointing out that he said that he would. I have no dog in this fight. Maybe you do, though. Have fun.
@ronaldtownsend5745 usually there's more than one engineer working on something, unlike school
M’kaaaay at 9:02 😂
187
anwer is 1
The answer is 16.
Clarification: if there are no parentheses like in this example.
So then, I guess it SHOULD have been worked out as 4*2/16= your 16
Got confused . I should do math in the morning rather at night
I got one for ya: if you're tryin' to send a crew to Mars and bring 'em back alive, which one do you go with?
All the prominent programming languages say 16, so that's what you go with
This is weird, so I’m teaching my students about PEMDAS
Yea, partial credit is fine until you crash-land on Mars. The answer is either right or wrong.
Usually you would have more than one worker on a Mars mission
Students will get bored waiting for him to get to the point.
The left to right thing is completely wrong by the way. Massive misconception there.
OMG Long sales pitch again and then more rambling
You mirage things on too much. Not a good teacher. Jaso. Is my guy
Hello Sir. Do you have Telegram account
16
1
16
1
16 ÷ 4 × 2 ^ 2
4 × 4 = 16