Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy
ฝัง
- เผยแพร่เมื่อ 30 ก.ย. 2024
- Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacadem...
This example clarifies the purpose of order of operations: to have ONE way to interpret a mathematical statement.
Practice this lesson yourself on KhanAcademy.org right now: www.khanacadem...
Watch the next lesson: www.khanacadem...
Missed the previous lesson? www.khanacadem...
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Pre-Algebra channel:: / channel
Subscribe to KhanAcademy: www.youtube.co...
![Learn Order of Operations with Exponents (PEMDAS) - [6-1-3]](http://i.ytimg.com/vi/6WXMj9hFdes/mqdefault.jpg)
Who else is here cause their teacher told them to lol😂
😂😂😂😂 meeeee...
Me
Me
Me
Me
Teachers: figure it out yourself
Khan academy: come with me my child
Yeah.
So right
true
True
Never heard anything better.
Is it just me, or is this dudes handwriting awesome?
It is slight
Yeee
not just you man. (9 years later response :) )
Nope its not just you
@@senitech3128 I agree ( 5 months later response)
this was way more helpful than my teacher in high school.
frr
I'm not evn in highschool and i'm doing this
@@az-og4hp education has changed since. You kids are now smarter than ever and it will get even tougher for the next generation.
@@MarcLloydZ ohh
@@az-og4hp yep 100%
you're talented in making math easier for people .. I like you sir
Me too I used to watch his videos ALL the time!
me too
I just gave you the 100th like you're welcome
And more fun as well
He makes me want to learn every single thing about maths
Newest Comment! And if ur reading this...
Have a good day!
This helped me a lot.. dude I was so confused for the past month..
P lease
E xcuse
M my
D ear
A unt
S ally
I learned it as GEMDAS
Kaylee Vianne please explain my dead aunt Sally
I learned it as both but heard please excuse my dear Aunt Sally most
@Sophia Graham G = Grouping
omg i cant believe I understand yeah meeee!!!!!! MAYBE ITS BECAUSE ITS COLOR CODED BUT WHO CARES I LEARNED HURRAY
I know right oh and khan academy is the BEST I'm so SMART
No one asked
@@jenni9680 i asked 😏
@@jenni9680 😠😠😠
@@jenni9680 😡😡😡😡
There are many different acronyms for this such as BIDMAS, BODMAS, PEDMAS... great introduction! 👍
What’s BIDMAS and BODMAS? Also GEMS is a potential acronym
I’m guessing B is brackets but I don’t know what I would be.
@@pgpyrem6558 Indices
It’s bedmas for me braquets, exponents, division,multiplication,addition, substraction
Really…..for me it’s Bidmas :)
Anyone watching this in 2019
thx u helped me so much on my test ty and ps i got 100!!!!!!!
khan da man!
my techer is makeing me wach this and i already know this it is my favorite math problem
If you're 13 and up and you're in school idk how they taught you grammar
@@zexuu1608 He might live on a different country that does not speak English very often?
Mara Gail Roxas true
@Late to the Game ok. and.
I wish I had a math teacher like you when I was in school.
Can you do a fraction order of operations? Really stuck on that in school. Thanks.
It’s been six years, I hope you learned it in time
Sierra Grella lol
yes
@@user-ex3qx2rc7l LMFAOOO
@@user-ex3qx2rc7l lol
I was flipping thru the stations and saw u on the charlie rose show. your vids have inspired me to want to learn math again after years of struggling with it. I'm 43 and when i was coming thru none of my teachers taught the way u do so i just gave up after failing pre algebra. im so glad u decieded to put these vids up, i know your helping a lot of people! :)
?
It could just as easily be read as "7+3 groups of five." There's no deep reason behind why the order of operations is the way it is, just like there is no deep reason + means addition. We just chose + to be the addition function.
Fitnes
I learned PEMDAS as BEDMAS.
Brackets
Exponents
Division/
Multiplication
Addition/
Subtraction
Same OOP, different acronym.
🤯
Somehow I always say it as "Orders Evaporations" lol
:D my dead brain cells reviving...........................
dat pro cs go mlg crosshair
+legokingiscool hahahaha
Let's say, we would like to solve the problem as is being written as follow:
8÷2(2+2)..
If you want to perform the order of operation, you should arrange your problem in more specific way, for example, 8÷2×(2+2).. otherwise 8÷2(2+2) will be translated as 8/2(2+2) which means 2(2+2) becomes most priority to be solved at first because the way it is being written.. But if you put multiplication symbol between 2 and (2+2) as I mentioned above, then you can perform the order of operation correctly..
In order to avoid any confusion, you should present the problem more specific way which it is to be solved as the way you want it if you would like to use the order of operation..
Jason Hunt Cat Looking Surprised Meme: This Is My Home
No ur just confused on the LEFT TO RIGHT part. U do 8/2, not 2x4
@@EvanReichert
Okay.. How about this..
(8÷2)(2+2)
8÷{2(2+2)}
Can't have same answer because the way it has written, huh?
When you are doing the order of operation it was a little different, in my class me do PEMDAS
Same.
Here's the order of payment.
1. Calculate from parentheses.
2. Calculate the square
3. Calculate multiplication and division.
4. Calculate the addition and subtraction.
The square I'm talking about is the index.
✅
Khan Academy makes everyone so much simpler. Y'all are gods fr
I wish you were my personal tutor!!
The order of payment is extremely important. This is because the order of calculation can be applied in real life. You also need to know ( ) and { }. That's what it should be.
I am so ready for tomorrow's math test! Thanks Kahn academy 👌🏼👍🏻😅
Thank you for making Order of Operations very clear in your video. So many are confused on this point. The main problem is some misinterpret PEMDAS as meaning multiplication has priority over division and addition has a priority to subtraction. THIS IS WRONG! Multiplication and Division are equal and Addition and Subtraction are equal, so you work left to right. It is why I don't like PEMDAS because it confuses people. I prefer simply saying:
Parentheses
Exponents
Multiplication/Division (left to right)
Addition/Subtraction (left to right)
Absolutely. 8)
Thank you so much...for years I avoided math because of a very bad experience and now I need to learn maath for the RN degree. I learn a lot from your teaching and love MATH, Thanks so much
LOL me and my friends learnt it as:
B less
M my
D ead
A unt
S ally
MsTaniyaK khadri it’s pemdas, not bemdas
@@levy6587 People can do it whatever way they like, PEMDAS is the american way.
@@thomasbrocherie7543 exactly
ur mom
@@teresaszafranowicz6396 wat
I need help on these but, they must include division,multiplication,addition and sub..... ??????? :o
U must be all grown up now
Isn't it BEDMAS?
Brackets, exponents, division, multiplication, addition, subtraction.
And when is this gonna help us achieve our goals in life? Never (useless)
Shut it. you only say that cause your bad at maths
Lynix Murivex lmao I only posted that cause I was really mad at that time you don’t need to come at me 😂
I used to love math until the alphabet decided to get involved
You are a legend! One of my fav muslims in the western world :P
THANK YOU!!! I have a quiz on this tommorow and you saved my life. You are amazing!!!!
Please
excuse
my
dear
aunt
Sally
loud
radio
12
Since when did Ghengis Khan start teaching mathematics? JK
Judgesrow hahahahaha laugh it up he died centuries ago. But I don’t want o get r/wooooosh’ed but just saying
im preparing myself for a pre algebra lesson for my first year of high school! im nervous and dont know what im about to step into but this rlly helps!
Nice
hope u did well
No body cares what year it is
nice video
We do that
Order of operations = brackets, exponents, multiplication, division, addition, subtraction. That's how I learned it at school.
Zohirul Islam Jewel same
I learned it both ways, and, they're both the same.
Bemdas? Isn't it BedMass
XxZachesxX _
No
Zohirul Islam Jewel Yes it's bedmas not bemdas.
also known as
PARENTHESIS
EXPONENTS
MULTIPLICATION
DIVISION
ADD
SUBTRACT
PE (MD) (AS)
➡️ ➡️
It’s the same thing
i had to watch this for homework to help me. I have to say it worked. I got a A on my test! thanks!
thank you sir . this video was very useful for me
what no it isnt my page this is teah's page. she didnt log out -_-
Parenthesis = please: Exponents = excuse: Multiply = my: Divide = dear: Add = ant: Subtract = Sally: Please Excuse my dear ant Sally
PEMDAS
bella height *aunt
Sorry had to. But other than that you're right.
i can't stress enough how helpful this videos are.. way better than the handouts they give us.. thanks :D
the dislikes are all the confused teachers that are jealous
ok at first I didn't know loosey goosey was a word so I had to look it up in the urban dictionary and its a word....
Vampy Mouse42 bruh
Hi could someone please explain how 8-6(3+4)2=-17 please! I understand basic order of operation but I really can't get my head around this one... Thanks in advance :)
***** Would we not do the multiplications steps from left to right? After the parenthesis of course. So 8-6(3+4)2....becomes....8-6(7)2 .......8-(42)2......8-48=40. ??? It does look like an improper equation though.
Is the number 2 "squared" or just an number?
How dod you get a negative number
5:40 is where majority gets it wrong! Pay close attention people! Knowing this can save you a lot of trouble!
I'm not saying this video is wrong. He did everything correct. All I'm saying is that people should pay close attention on the Multiplication & Division step as most do not solve left to right.
TheHRchannel Kid...... We don't need a math teacher in the comments..
Be quiet a person
dude you are a genius thanks a lot!
@@blueorcah2779 lol 😂
I just watched a video called PEMDAS is Wrong! It is supposed to be read left to right no matter if there is a multiplication there.
The order of operations keeps us from getting multiple answers many agreed on it.
But I agree its messed up
ya my teacher says "SCREW PEMDAS!!!!!!" (not literally the same way but it sounds as if hes cursing lol)
This doesn't make any sense to me. There is literally no logical reason for any of these rules, this invalidates everything we assume by "intuition" doesn't it? How can we be sure what we are doing reflects reality if we just make up the rules as we go?
And yet, math works well enough for me to be able to type this comment on youtube, and for you to see it on your screen. How this is possible when we just make up rules without logical foundations is beyond confusing to me. If anyone understands how this is possible I'd love to hear why.
I mean, couldn't it have equally been the case that the mathematics community could have decided on completely different rules for the order of operations? And if this was done instead, wouldn't all of our calculations end up differently than they are today? And if that is true, wouldn't all of our technology consequently be different than it is today?
Why am I the only one asking these questions?
I agree that this can be quite confusing. This is how I resolve that with my own logic:
There are several things in life that are completely arbitrary. But we assigned things to certain things and that is the way we roll. For example, there is no real reason why we call a "chair" a "chair," but because it is standardized in the English language, everyone knows what we mean when we say "chair." If instead we decided to call the physical thing of a "chair" to instead be called a "duck," then we would all understand an elevated, moveable seat to be a "duck." Subsequently, through history, yes, all books and media would have the word "duck" in place of "chair." It is important to note that it really wouldn't change anything - as long as we all have the same understanding of what is what. That is the beauty of language.
This is the same way for the order of operations. Math, of course, is one of the only universal languages. Everyone understands math the same way. So, since we as a species have decided this to be the order of operations, we all understand and read math with this rule. Subsequently, everything we make out of computers, electronics, and other technology is created with this assumption.
Say, for ease of argument, instead of PE[MD][AS] we instead decided [AS][MD]PE.
6^2 +4 x 6 = 60 under normal PE[MD][AS],
under our new [AS][MD]PE, 6^2 +4 x 6 = (6^2 + 4) x 6 = 240.
[Note] Here we actually see some logical reason for PEMDAS because I had no idea how to add 6^2 + 4 without doing the exponent first. I just put in parenthesis. And then I realized I can't even do the multiplication without doing the parenthesis first! PEMDAS really IS actually logical. It makes the math easier to understand and it actually works. Like what's-his-face said, simplicity is key. But that is not really what your question was asking, so I will continue.
The point is, with a different order, we would simply get different outputs. The same way in the language example in which we could understand "duck" as a "chair", we now would understand different math operations as providing different answers.
As long as we have a standardized way of knowing what order to do the math, all our technology and understandings of math would be the same. Our computers would not magically work differently. We simply would've would've coded them differently. Every place that used to have 6^2 + 4 x 6 = 60 would've been altered because we just wouldn't have that in our code if we didn't have our current order of operations.
As a conclusion, I would like to state that reality itself is very fragile. There are several philosophical schools that study the question you just posed. If you want to delve deeper into it, search up "post-structuralism." It gets pretty confusing because basically it breaks down language. The thing is, we understand the world through a completely arbitrarily created language. Have you ever heard that we can't perceive colors we don't have a name for?
Basically, you were not the only one asking those questions. PEMDAS itself actually is quite logical, and even if it weren't, the universal standardization allows technology and everything rooted in math to function.
Uh it's maths it doesn't have to make sense dude
Because thats how the government says its done, and if you get it right, its right, and it counts as a grade and gets you a better future. So don't start complaining, and just leave because other people are trying to understand it
P lease (paranthesis)
E xcuse (exponents)
M y (mulitiplication)
D ear (division)
A unt (addition)
S ally (subtraction)
i like how he writes his sevens
May Allah/God bless you.
How watching this in 2019
This video me and my classmates. Thank you so much for helping some of my classmates who have a hard time understanding this lesson. We are gonna have a Term Exam tomorrow and I'm helping one of my friend. Thank you so much from the Phillipines!!! :D dont mind my pfp
Im Just Watching Cuz Why Not
lol at 4:10. iLL DO THE EXZAMPLE IN PINK! lol
I saw one of you're videos in my math class
thank you allaha may bless you
Tanks for simplifying a 3 week lesson into 10 min
Thanks*
Outstanding! Very easy to understand -thanks
excellent I can honestly say that i have a better grasp on it now.
Thank you!!!!! I was having such a hard time.
Using acronyms is what screws up some kids with this.
Multiple and divide =same level: solve left to right
Add and subtract =same level: solve L to R
But by using acronyms the kid learns one is above another in that order.
@ViperZion
No, BEDMAS.
Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
@jigglejack100 remembering pema is easier
Everyone donate to help delete teh virus U W U
??????
Its important to replace the word parenthesis with grouping symbols. This is necessary bc once bracets and braces are introduced, confusion can and usually does occur bc students have been taught to complete what is in parenthesis first. I glad that you dont relate this to the acronym please excuse my dear Unt sally. This acronym leads students into believing that parenthesis are an operation.
The agreed upon explanation is the only valid explanation. Once you've agreed upon an interpretation, then you can start to make logical sense of the meaning of statements given that interpretation, but a different interpretation would have just yielded a different way of visualizing things. Mathematics would lose nothing if 7+3x5 meant (7+3)x5. It would just be more annoying to write some things.
Is it me or is this video in the wrong category? Sal (total respect), assumes that we know about 1/2's etc when it wasn't covered at any point in his previous videos. Now I know what a 1/2 is, but the way he did the Addition/Subtraction videos give the impression that he's assuming we're complete beginners. 'The distributive property' and 'Introduction to Order of Operations' feel a bit advanced to be in the Multiplication/Division category. Please help, I was doing so well!
Cool dude
@misstake71 you are taking 30 away from 20 not 20 from 30
What
i learned this in elementary but they never taught us the add/sub & mult./div were on the same level but multiplication>division and addition>subtraction and now that im in college they're saying there on the same level. no biggy but wtf
Goooooooooooooooooood
Parentheses exponents multply division add subtract = please excuse my dear aunt sally (just a saying to help you memorize the order of operations) = PEMDAS (is another way to help you memorize the saying)
please dont repeat yourself such as ....7plus 3,.....7plus 3 ...I hear it in every video.
Its something that you have to work on .otherwise I am proud to say that because of these videos I am half to my degree.
i love how you explain every thing
because you are subtracting 20 - 30 not 30 - 20. If you are 10 year old, and you take ten years out of your age, 5 years out then you are getting younger. Hope my advice helps to Maria and all the users
@mrcreations515, I hate them, and I'm glad their're not around anymore. But good luck looking for them. I don't think they believed edu... I'm here to learn not to debate about politics.
@hiccup112 the guy uses some strange word and im only half through it and waiting for it to load but as long as you do multipucation and division before plus and minus you should be right
i thought it was bodmas....brackets, operations, division, mulitiplication, addition and subtraction. that would be the order i would do it and probably get the wrong answer.
What program is he using? Does anybody know?
Not me
very helpful
Please---------Parentheses
Excuse-----Exponents
My---Multiplication/Divide
Dear---Division/Multi
Aunt----Add or subtracts
Sally --Sabtract or Add
I bet you , 12356789012345678901234567890 thousand dollars you knew the whole thing was on the keyboard 123467890.
The length of a circumference of a circle ~3.14 the diameter. A has a diameter of 2 and B a diameter of 6. So shouldn't A rotate 3 times?
The order of operations
Oh dear, it seems as though the answer depends on which way you look at the problem. But we can't have this kind of flexibility in mathematics, math won't work if you can't be sure of the answer, or if the exact same expression can be calculated so that you can arrive at two or more different answers.
What is the order of operations?
To eliminate confusion, we have some rules of precedence, established at least as far back as the 1500s, called the "order of operations".
The "arithmetic operations" are addition, subtraction, multiplication, division, exponentiation and grouping; the "order" of these operations states which operations take precedence over (that is, which operations are taken care of before) which other operations.
How can I remember the order of operations?
A common technique for remembering the order of operations is the commonly used abbreviation (or, more properly, the acronym) "PEMDAS", which has been turned into the mnemonic phrase. This phrase stands for and helps one remember the order of parentheses and brackets, exponents, multiplication, division, addition and subtraction.
This list tells you the ranks of the operations.
Parentheses and brackets outrank exponents, which outrank multiplication and division (but they are tied at the same rank), and multiplication and division outrank addition and subtraction (which are together on the bottom rank).
In other words, the precedence is:
Parentheses and brackets (simplify inside the grouping symbols)
Exponents (do operations and apply them)
Multiplication and division (going from left to right)
Addition and subtraction (going from left to right)
When you have a bunch of arithmetic operations of the same rank, you just do operations from left to right.
Only 22 is the correct answer according to the PEMDAS rule. You multiply first and then you add. (Remember "M" comes before A") :)