Question

Order of Operations Tutorial

Answer 1

\(\Huge\bf Order~of~Operations:\)

We memorize \(\Large\bf PEMDAS\) so that we know which order to follow.

\(\bf\Large P: Parenthesis \)

\(\bf\Large E: Exponents \)

\(\bf\Large M: Multiplication \)

\(\bf\Large D: Division \)

\(\bf\Large A: Addition \)

\(\bf\Large S: Subtraction \)

We follow it in order from left to right.

One way to remember PEMDAS is by this sentence

\(\Large\bf Please~Excuse~My~Dear~Aunt~Sally\)

or by this sentence

\(\Large\bf Pink~Elephants~Make~Dandy~Apple~Sauce\)

So here is a practice problem

\(\Large\bf (13-3)^2 -5 \times 4 +6 -9 + 4^2 \div 2\)

First we would solve any parenthesis from left to right.

\(\Large\bf \color{green}{(10)}^2 -5 \times 4 +6 -9 + 4^2 \div 2\)

Next we solve any exponents from left to right.

\(\Large\bf \color{red}{100} -5 \times 4 +6 -9 + \color{red}{16}\div 2\)

Now we do any multiplications from left to right.

\(\Large\bf 100 - \color{blue}{20} +6 -9 + 16 \div 2\)

Now we have to do any division from left to right.

\(\Large\bf 100 - 20 +6 -9 + \color{orange}{8}\)

Now we can do addition from right to left.

\(\Large\bf 100 - \color{purple}{14} -\color{purple}{1}\)

Now we can subtract from left to right.

\(\Large\bf \color{pink}{86} -1\)

\(\Large\bf \color{pink}{85}\)

\(\Large\bf So~the~answer~is~\color{gold}{85}\)


\(\Huge\bf Note:\)

20+6=26 but there is a – sign in front of the 20 that you have to account for. So it is actually -20+6=-14

The same goes for -9+8=-1. We have to account for that – sign, because otherwise we would get a different answer.


\(\Huge\bf Tips:\)

You can just start doing both addition and subtraction from left to right. For example when you have:

\(\normalsize 100-20+6-9+8\)

You can do whatever comes first addition or subtraction and ove from left to right.

\(\normalsize \color{teal}{80}+6-9+8\)

And continue just like this.

\(\normalsize \color{lime}{86}-9+8\)

\(\normalsize \color{brown }{77}+8\)

\(\normalsize \color{violet }{85}\)

Answer 2

If you see any question marks just refresh the page.

Answer 3

hi ;)

Answer 4

hi colin ;)

Answer 5

o look its u :0

Answer 6

Good work !
Thanx for sharing

Answer 7

yup thanx BUDDY

Answer 8

@akonkel could you please delete your previous coments.

Answer 9

@TheSmartOne remember to add that true values are also considered parenthesis

Answer 10

so 5 * |-1| is 5 not -5 @TheSmartOne

Answer 11

Ok thanks.

Answer 12

Good job bud :)

Answer 13

Thanks.

Answer 14

Great job. This might be one of the top ten.

Answer 15

Thanks. :)

Answer 16

GOOOD JOOOOB
keep it up

Answer 17

thanks. :)

Answer 18

\(\Large \rlap{\color{green}{\tt{NICE}}}{\hspace{+0.2em} \color{blue}{\tt{NICE.}}}\)

Answer 19

\[\Large \rlap{\color{red}{\tt{Thanks}}}{\hspace{+0.2em} \color{blue}{\tt{Thanks}}}\]

Answer 20

Very good job! I will use this when people ask about Order of Operations!

Answer 21

OH got it

Answer 22

@TheSmartOne
Using your order of operations, what do you get for:

\(120 \times 2 \div 6 \div 4 \times 10 \div 5\)

Answer 23

The correct order of operations is PEMDAS, but this is how it is interpreted:
P - parentheses first
E - then exponents
MD - next multiplications and divisions in the order they appear from left to right
AS - and finally additions and subtractions in the order they appear from left to right

Using the above, you avoid the problem you had in your example in the note (20 + 6 = 26, etc).

Answer 24

Ok :P :)

Answer 25

Again, good work :P got to use this again