Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy

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This example clarifies the purpose of order of operations: to have ONE way to interpret a mathematical statement.
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And more fun as well

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He makes me want to learn every single thing about maths

[@leonina72]

I wish I had a math teacher like you when I was in school.

[@lmzimm]

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)

[@gutoguto0873]

Absolutely. 8)

[@ewg-rv8nl]

I learned PEMDAS as BEDMAS. Brackets Exponents Division/ Multiplication Addition/ Subtraction Same OOP, different acronym.

[@mxryyc]

🤯

[@oliviawhite4551]

Can you do a fraction order of operations? Really stuck on that in school. Thanks.

[@user-ex3qx2rc7l]

It’s been six years, I hope you learned it in time

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[@woohwison3296]

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.

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[@Ktayr]

I wish you were my personal tutor!!

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my techer is makeing me wach this and i already know this it is my favorite math problem

[@zexuu1608]

If you're 13 and up and you're in school idk how they taught you grammar

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@@zexuu1608 He might live on a different country that does not speak English very often?

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Mara Gail Roxas true

[@zexuu1608]

@Late to the Game ok. and.

[@valentinelijahfandino3979]

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

[@edwardsausi1445]

Nice explanation, my teacher said to watch this and now i really understand, nice man

[@woohwison3296]

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.

[@woohwison3296]

The square I'm talking about is the index.

[@bimalachimariya4626]

✅

[@imanasad673]

thank you sir . this video was very useful for me

[@JHunt6352]

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..

[@angelamontes8818]

Jason Hunt Cat Looking Surprised Meme: This Is My Home

[@EvanReichert]

No ur just confused on the LEFT TO RIGHT part. U do 8/2, not 2x4

[@JHunt6352]

@@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?

[@MsDripCoffee]

Bravo, clear instructions for my students. Only thing I don't love-- showing incorrect way to do the problem before the correct way. Thank you for your video.

[@isaaca1036]

You are a legend! One of my fav muslims in the western world :P

[@labfam6138]

When you are doing the order of operation it was a little different, in my class me do PEMDAS

[@unoriginal9328]

Same.

[@TDBhCorsica]

nice vid for beginners, i remember i used BEDMAS , brackets exponents division/multiplication addition/ subtraction, it is just easier to remember. Appreciate your videos of any kind, keep up the good work.

[@_rampampan_]

I use PEMDAS parenthesis exponents multilication division addition subtraction

[@Aareztariq]

thank you allaha may bless you

[@Zohirul-Jewel]

Order of operations = brackets, exponents, multiplication, division, addition, subtraction. That's how I learned it at school.

[@Cwis901]

Zohirul Islam Jewel same

[@god-tc7on]

I learned it both ways, and, they're both the same.

[@stonge3089]

Bemdas? Isn't it BedMass

[@Zohirul-Jewel]

XxZachesxX _ No

[@stonge3089]

Zohirul Islam Jewel Yes it's bedmas not bemdas.

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I saw one of you're videos in my math class

[@starrecipe9]

It gets weird when you have something like 15/3/3. If you do "3/3" first then you get 15/3/3 = 15/1 = 15. That's why the left to right rule makes life a little bit simpler, but I agree that with enough awareness it can be ignored. 15/3/3 = 15/9, just like 15 - 3 - 3 = 15 - 6. Some students will get confused and write 15 - 3 - 3 = 15 - 0 = 15. I did that some when I was a kid actually. I prefer to explain how to convert div/sub to mult/add though.

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Thank you!!!!! I was having such a hard time.

[@ShakkIsLife]

@ViperZion No, BEDMAS. Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

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This good for learning the asvab im studying asvab right now guys wish me luck

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May Allah/God bless you.

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These videos make it so much easier for math, and i know it's been 10 years but I dont care

[@oniserval]

There is no left to right rule... Addition and subtraction can be done however is easiest. Same with division and multiplication, no difference the order, if they are on same level of the order of operations... Example: 18*45/15=? I would much rather do the division first. So much easier to figure out 45/15 first then multiply 18*3. Trying to multiply 18 and 45 would be less favorable... Same outcome, no problem. Thank you for these wonderful videos!

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Thanks Khan Academy. Ever since I watched your videos, it has been easier for me.

[@Adam-ld4br]

Uhhhh... ok

[@nidurnevets]

Thanks for your explanation. I am trying to learn the math I should have learned when I was a kid.

[@MylaMariee]

Thank you so much sir and I’m class I was bad at this until I watched this video know I leaned how to do it thank you

[@tashafelton1265]

very helpful

[@zakilakhani688]

I used this as a study guide for my test. Good resource!

[@hollyulland4914]

thanks helped me alot iam in 5th grade an this helped me soooooooooooooooooooooooooooooooo much

[@MrRossmcivor]

im trying to teach my 10yr maths, and trying to teach her basic computer programming, and for her to understand, i need to understand, I get order, but don't understand why,. taking maths in its fundamental basics can define order of operations in the maths rather than applying a rule that keeps the maths under a strict syntax of expression, when a logical order can be created with nested bracketed sums that implys the rule in the maths. hence always left to right, not based on its operand, but nested in a order than makes the maths explain itself, not the maths following an external rule, and written following that rule to make the expression, then using the rule to sum the expression,. i hope i make sense :)

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wonderful.

[@arfareandaneswara3286]

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.

[@c_zar8749]

It’s bedmas for me braquets, exponents, division,multiplication,addition, substraction

[@alyssakok8397]

Really…..for me it’s Bidmas :)

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thanks

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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?

[@kendallalaunis2278]

Helped Alot !

[@imsocheesy123]

your better than my math teacher

[@Jerichonumber2]

In Confusion and Perplexity I have discovered and gained an Understanding of this crap! Thanks Sal...

[@anndrury5891]

meh

[@NzRooman]

@MrDjMarcello In New Zealand... It's BEDMAS as we say brackets rather than parentheses.

[@mizbella72]

Thank you so much

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Thanks that helped

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I love thus kind of math.

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+legokingiscool hahahaha

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VERY DETAILED.........👏

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Nice!!!

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you saved me from my homework

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Shukria

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I’m here to refresh my memory.

[@dansemec3381]

good explanations. thanks

[@yurmax4817]

Cool video!

[@tatsumakisempyukaku]

But what principle correctness made it that we go left to right and use PEMDAS in that order? Just curious. A lot of people say it’s just agreed upon, making it sound conventional aka arbitrary. Is there a rigorous argument that proves it in other words?

[@H13-r3h]

I understood it it's very easy omg

[@nutellagirl553]

Tysm

[@kesha43589]

Does the same rule apply to BEDMAS because that is what im doing in school now.

[@carlosrom335]

Thank You

[@mamadoukane1726]

make more video of 5 grade math please.

[@accessmathtutoring]

Excellent👍

[@Adam-ld4br]

This guy is da best

[@BloodRaven6934]

great vid very helpful im from the u.s.a so i do pemdas but really im just saying great vid becuase i dont really care what the vids about

[@la23curlys]

also known as PARENTHESIS EXPONENTS MULTIPLICATION DIVISION ADD SUBTRACT

[@yonatanmakara6856]

Theborder of operation was confusing for me. From left to right for mutliply and divide and adding and subtracting. Now I got it.

[@TechSyndrome]

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!

[@007jamesbond303]

Explained a lot now (thnxs)

[@ethangeorge7191]

I used bidmas brackets indices division multiplication addition subtraction

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thank you!

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love it

[@aaronflgd]

We do that

[@jessicaunknown3672]

This Video Helped Me.... A Lot.. ._.

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Thank you now I'm not gonna have a mental breakdown when I do my math exam 👌🏻😢

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You are the best

[@bimalachimariya4626]

Tyy

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you are right

[@NoLookPass69]

it's BEDMAS. where i live brackets exponents division multiply addition subtraction

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YES! Now I won't fail in math

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thank you !!!! :D

[@aname5455]

If I have one stone and I add one stone I will have two stones. If I multiply the two stones by three I’ll have six stones. If I subtract two stones from my six stones I’ll have four. So to recap 1+1*3-2? 1(3)=3 1+3=4 4-2=2 2? OR 1+1=2 2(3)=6 6-2=4 4? Just asking.

[@HRFTG]

They are essentially the same if operations means exponents

[@nenestoudemire8575]

good explain I need you to be my coach

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Thank you soooo much....he is sooo better than my teacher. I wish I dont have to go to her class.

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Cool dude

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thankkk u so much !!!!

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im a big fan of yours

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It'll be interesting if he becomes our teacher ... ORR he makes his own school

[@robertherne6769]

AMAZING VIDEO

[@advizedog4131]

i have a math competition in a few weeks and have no clue what i’m doing, only to find out that arithmetic operation is just order of operations but with fancy words

[@modified_mombshell]

Thanks this really helped my daughter understand, thanks again.

[@MJ-ks1cx]

Numbers, Numbers and multiplication..uugghhh!!...My brain are filled with numbers..

[@GamingNinja07]

thx