In this video we’re going

to talk a little bit about order of operations. And I want you to pay close

attention because really everything else that you’re

going to do in mathematics is going to be based on you

having a solid grounding in order of operations. So what do we even mean when

we say order of operations? So let me give you an example. The whole point is so that we

have one way to interpret a mathematical statement. So let’s say I have the

mathematical statement 7 plus 3 times 5. Now if we didn’t all agree on

order of operations, there would be two ways of

interpreting this statement. You could just read it left to

right, so you could say well, let me just take 7 plus 3, you

could say 7 plus 3 and then multiply that times 5. And 7 plus 3 is 10, and then

you multiply that by 5. 10 times 5, it

would get you 50. So that’s one way you would

interpret it if we didn’t agree on an order of operations. Maybe it’s a natural way. You just go left to right. Another way you could interpret

it you say, I like to do multiplication before

I do addition. So you might interpret it as —

I’ll try to color code it — 7 plus — and you do

the 3 times 5 first. 7 plus 3 times 5, which would

be 7 plus 3 times 5 is 15, and 7 plus 15 is 22. So notice, we interpreted

this statement in two different ways. This was just straight left

to right doing addition then the multiplication. This way we did the

multiplication first then the addition, we got two different

answers, and that’s just not cool in mathematics. If this was part of some effort

to send something to the moon because two people interpreted

it a different way or another one computer interpreted one

way and another computer interpreted it another way, the

satellite might go to mars. So this is just completely

unacceptable, and that’s why we have to have an agreed

upon order of operations. An agreed upon way to

interpret this statement. So the agreed upon order of

operations is to do parentheses first — let me write it over

here — then do exponents. If you don’t know what

exponents are don’t worry about it right now. In this video we’re not going

to have any exponents in our examples, so you don’t

really have to worry about them for this video. Then you do multiplication —

I’ll just right mult, short for multiplication — then you do

multiplication and division next, they kind of have the

same level of priority. And then finally you do

addition and subtraction. So what does this order of

operations — let me label it — this right here,

that is the agreed upon order of operations. If we follow these order of

operations we should always get to the same answer

for a given statement. So what does this tell us? What is the best way to

interpret this up here? Well we have no parentheses —

parentheses look like that. Those little curly

things around numbers. We don’t have any

parentheses here. I’ll do some examples that

do have parentheses. We don’t have any

exponents here. But we do have some

multiplication and division or we actually just have

some multiplication. So we’ll order of operations,

do the multiplication and division first. So it says do the

multiplication first. That’s a multiplication. So it says do this

operation first. It gets priority over

addition or subtraction. So if we do this first we

get the 3 times 5, which is 15, and then we add the 7. The addition or subtraction —

I’ll do it here, addition, we just have addition. Just like that. So we do the multiplication

first, get 15, then add the 7, 22. So based upon the agreed order

of operations, this right here is the correct answer. The correct way to

interpret this statement. Let’s do another example. I think it’ll make things a

little bit more clear, and I’ll do the example in pink. So let’s say I have 7 plus 3 —

I’ll put some parentheses there — times 4 divided by

2 minus 5 times 6. So there’s all sorts of crazy

things here, but if you just follow the order of operations

you’ll simplify it in a very clean way and hopefully we’ll

all get the same answer. So let’s just follow the

order of operations. The first thing we have to

do is look for parentheses. Are there parentheses here? Yes, there are. There’s parentheses

around the 7 plus 3. So it says let’s do that first. So 7 plus 3 is 10. So this we can simplify,

just looking at this order operations, to

10 times all of that. Let me copy and paste

that so I don’t have to keep re-writing it. So that simplifies to

10 times all of that. We did our parentheses first. Then what do we do? There are no more parentheses

in this expression. Then we should do exponents. I don’t see any exponents here,

and if you’re curious what exponents look like, an

exponent would look like 7 squared. You’d see these little small

numbers up in the top right. We don’t have any exponents

here so we don’t have to worry about it. Then it says to do

multiplication and division next. So where do we see

multiplication? We have a multiplication,

a division, a multiplication again. Now, when you have multiple

operations at the same level, when our order of operations,

multiplication and division are the same level, then

you do left to right. So in this situation you’re

going to multiply by 4 and then divide by 2. You won’t multiply

by 4 divided by 2. Then we’ll do the 5 times

6 before we do the subtraction right here. So let’s figure

out what this is. So we’ll do this

multiplication first. We could simultaneously do this

multiplication because it’s not going to change things. But I’ll do things

one step at a time. So the next step we’re going

to do is this 10 times 4. 10 times 4 is 40. 10 times 4 is 40, then you

have 40 divided by 2 and it simplifies to that right there. Remember, multiplication and

division, they’re at the exact same level so we’re going

to do it left to right. You could also express this as

multiplying by 1/2 and then it wouldn’t matter the order. But for simplicity,

multiplication and division go left to right. So then you have 40 divided

by 2 minus 5 times 6. So, division, you just

have one division here, you want to do that. You have this division and you

have this multiplication, they’re not together so you

can actually kind of do them simultaneously. And to make it clear that you

do this before you do the subtraction because

multiplication and division take priority over addition and

subtraction, we could put parentheses around them to say

look, we’re going to do that and that first before I do that

subtraction, because multiplication and

division have priority. So 40 divided by 2 is 20. We’re going to have that minus

sign, minus 5 times 6 is 30. 20 minus 30 is equal

to negative 10. And that is the correct

interpretation of that. So I want to make something

very, very, very clear. If you have things at the same

level, so if you have 1 plus 2 minus 3 plus 4 minus 1. So addition and subtraction are

all the same level in order of operations, you should

go left to right. So you should interpret this as

1 plus 2 is 3, so this is the same thing as 3 minus

3 plus 4 minus 1. Then you do 3 minus 3

is 0 plus 4 minus 1. Or this is the same thing

as 4 minus 1, which is the same thing as 3. You just go left to right. Same thing if you have

multiplication and division, they’re at the same level. So if you have 4 times 2

divided by 3 times 2, you do 4 times 2 is 8

divided by 3 times 2. And you say 8 divided by 3 is,

well, we got a fraction there. It would be 8/3. So this would be 8/3 times 2. And then 8/3 times to

is equal to 16 over 3. That’s how you interpret it. You don’t do this

multiplication first or divide the 2 by that and all of that. Now the one time where you can

be loosey-goosey with order of operations, if you have all

addition or all multiplication. So if you have 1 plus 5 plus 7

plus 3 plus 2, it does not matter what order you do it in. You can do the 2 plus 3, you

can go from the right to the left, you can go from the

left to the right, you could start some place in between. If it’s only all addition. And the same thing is true if

you have all multiplication. It’s 1 times 5 times

7 times 3 times 2. It does not matter what

order you’re doing it. But it’s only with all

multiplication or all addition. If there was some division

in here, if there’s some subtraction in here, you’re

best off just going left to right.

Peanuts

Ended

My

Donut

Addiction

Saturday

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.

42/2-3/3=20

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

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 !!!! 😀

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 🙂

please excuse my dear aunt Sally.☺☺☺

thank you cleared things up!

I learned PEMDAS as BEDMAS.

Brackets

Exponents

Division/

Multiplication

Addition/

Subtraction

Same OOP, different acronym.

Here because School.

Also.

Why does he Repeat?

I could do without the extra chatter 🙁

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

Second one is wrong Prof

4*2/3*2

8/6

This is the correct answer

I love thus kind of math.

i need help 28-4×3÷6+4

Please

Eat

My

Dad

And

Sister

please excuse my dear aunt sally

Bemdas? Isn't it BedMass

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….

khan da man!

thank you sir . this video was very useful for me

anyone applying this cycle, i wish you the best luck

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

khan academy is best academy for me it makes me good at math

Can you show me how to do this [11×7]-9×8

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)

order of operations = hell now order of operations = ez af

Why does my teacher say only use pemdas for brackets, parentheses, and exponents?

AMAZING VIDEO

i think i heard this guy at Starbucks teaching someone something

not really true about left to right, if operations are same priority they can be done in any order, doesn't have to be all the same operator, i.e. multiplication and division can be done in any order, addition and subtraction can be done in any order, the outcome will be the same

People eat many bad ass snakes

what if its + and x on the same one but no ( ) ?

I bet you 12331122111116748485948373736262838484747363782828 skipped trying to read that number

Please Make Dad A Sandwich

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

bruh.. is it this guy that be on my screen in math class? Well if it is STOP IT PLEASE I SWEAR COME ON MAN PLEASE I HATE MATH PLEASE MAN COME ON PLEASE PLEASE SHE STOPS THE VIDEO RIGHT WHEN U GIVE THE ANSWER AND WE HAVE TO SOLVE THEM… PLEASE COME ON MAN PLEASE COME ON

I hate math

Will BODMAS and PEMDAS get the same answer in every situation?

thanks to this video I have finally understand the order of operations because I suck at it… Thank you so much, Khan academy… You are a big help 😀

Order of operation?

Thank You

I understood it it's very easy omg

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.

I bet you , 12356789012345678901234567890 thousand dollars you knew the whole thing was on the keyboard 123467890.

You don't do left to right they happen at the same time, but as single entities.

I used bidmas brackets indices division multiplication addition subtraction

Mr.Khan Academy,i’m gr.5 students,please help me in this solving problem…

A certain Math club makes 30 bars of chocolate a week and sells these at $30 each.Before the chocolate can all be sold ,the pupil found out that 6 bars were eaten by mice.How much will be the total sale at the end of a four-week month?

QUESTION:what is the number sentence?

Thanks!!!

i understood everything else except why it came up with the answer -10 what is -10

It's easy except for 8 divided by 3 being 8/3

yay the satelite 📡 is going to mars

please excuse my dear aunt sophia

The answer should be 14/3.

why is it negative 10

answer pls

Is 1,971 truest or wrong answer.

Seriously

good explain I need you to be my coach

Just started 8th grade any advice?

it is bedmas honest

why can't you do pemdas

4:08

you teach me so much

An amazing clarification , I was so bored of those PEMDAS BODMAS whatever just follow this video and that is it don't confuse it with those rules which differ country to country 🤣🤣

This really helped me for school

THANK YOU!!! I have a quiz on this tommorow and you saved my life. You are amazing!!!!

This is "badmas" the indian way

P eople

E at

M y

D essert

A nd

S oda

I did for ex #2

(7+3) x 4 divided by 2 and got this

10 x 4 div by 2

10x 2 rather than doing 10x 4 but still got the right answer sooo I divided before multiplied is that ok

Khan Academy makes everyone so much simpler. Y'all are gods fr

There are three types of people in this world. those who are good at math and those who aren't…wait.

Real version= Lions and tigers and bears oh my Math version= Parentheses brackets and braces oh my

what program do you use?

who is watching in 2019

does anybody call him Mr. Repeat lol

he also have great hand writing for using a mouse

thank you i got 100% and now im getting a gaming pc to play fortnite 🙂 All because of you

G rouping

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

What app do u sue for the blackboard stuff.

Pemdas

You are the best

Anyone watching this in 2019

Thank you! I’m doing math.

Remembering tip:

P.E.M.D.A.S

4:36 (7 + 3) x 4 divide 2 – 5 x 6

10 x 4 = 40 divided by 2 = 20 – 5 x 6 =30 30 – 20 = 10

answer is ten

guys I have to say somthing please excuse my dear Aunt sally

8/2(2+2)=?

Tysm

what app does sal use for writing

also he is so smart and helped soo much thank you sal 🙂

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?

(º¿º)For those who are having difficulty with this topic, I learned that the P in PEMDAS is supposed to be a G, for grouping. Some kinds of grouping symbols are brackets, curly braces, and even the fraction line. But that's just me I could be wrong…anyway nice video and I'm viewing this in 2019

Thanks khan, really helped me on the homework! 🙂

The notion the arithmetic can't be done without distributed processing is inordinancy.

Mexico :/

Thank you so much….. Very well explained!!!!!!! Thank you again

How watching this in 2019

make more video of 5 grade math please.

pemdas use it who ever watched this he's wrong

Solve 8/2(2+2)