Order of Operations Tutorial.

Question

TheSmartOne · Answer

$\Huge\bf Order~of~Operations:$

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. And we do Multiplication and Division, whichever comes first from left to right. Same thing with Addition and Subtraction.

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 and division from left to right .

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

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

Now we can do addition and subtraction from right to left.

$\Large\bf \color{purple}{80}+6-9+8$

$\Large\bf \color{teal}{86} -9+8$

$\Large\bf \color{lime}{77}+8$

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

Infinity · Answer

Thank you. @TheSmartOne

imqwerty · Answer

nice tutorial @TheSmartOne ! :)

Atsie · Answer

Oooh, I love this! Very simply explained! ^o^

sammixboo · Answer

PEMDAS - People Eat My Dinner and Soap

That is how I remember it LOL, anyways, great explanation :)

TheSmartOne · Answer

Soup would have made more sense than soap. LOL!

Ultrilliam · Answer

I go with

Please excuse my dear aunt sallys loud radio

Ultrilliam · Answer

(Left to right, I follow pemdaslr)

Shadow · Answer

PEMDAS

Parents Explain Math Dumbly All Season

sammixboo · Answer

That's a good one @Ultrilliam

sleepyjess · Answer

Well explained :)

psirockin2 · Answer

It's nice that someone made a post so we have them for reference. Thank you!

Awolflover1 · Answer

Nice job tso :3

EclipsedStar · Answer

^ 
but I learned PEMDAS by saying Polly Eats Many Dollars And Savings
and yes I made that up myself while learning

littlebird17 · Answer

Parenthesis
Exponents
Multiply
Divide
Add
Subtract

Please Excuse My Dear Aunt Sally. (Left to right, how I was learned. :))