PEMDAS (Order of Operations)

Basics

100

Give the correct order of operations.

Parentheses, Exponents, Multiplication OR Division, Addition OR Subtraction

200

Why is it important to know PEMDAS as a mathematician?

So everyone can solve every problem the same (correct) way.

300

What is the saying we use to remember the correct Order of Operations?

Please Excuse My Dear Aunt Sally.

400

8 x (9 - 3)
What is the second step of simplifying this expression?

8 x 6

500

The problem was 20 - 5 x 2 + 3. My answer was 33. What did I do wrong?

I went from left to right without using the correct order of operations.

Fix my Mistake

100

9 - 3 x 2=12

Correct answer is 3. Do x then -, not - then x.

200

10 - 3 x 2 = 14

You must multiply 3 x 2 first. Multiplication before subtraction. Correct Answer is 4.

300

(12 - 6) / 2 = 0

Must complete equations inside parenthesis first. Correct answer is 3. 

400

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. Correct answer is 10.

500

10 ³ = 30

10 ³ = 10 x 10 x10, which is 1000, not 30.

Solve

100

3 + 4 x 5

23

200

7 + (2 x 4) - 1

14

300

32 ÷ (4+4) + 3

5

400

26 – (5+3) x 2 + 4

14

500

(5 x 4) – 6 ÷ 2 + 9

26

Solve

100

14 - 2 x 7

0

200

49 ÷ (3+4) + 5

12

300

5 + 14 ÷ 2 × 5

40

400

(4 - 1) x (5 + 1)

18

500

1 + 2 x 3 - 4

3

Variables

100

Write an expression:
There are some students at school (s) and then 5 of them went home. 

s - 20

200

Write an expression:
Last week I earned an allowance (a). This week I earned $20 more.

a + 20

300

Write an expression:
I have 50 pieces of candy to hand out to a few of my friends (x). 

50/s or 50 ÷ s

400

Please write the expression:
Twice the value of number (p). 

2p or 2 x p

500

Write an expression:
Every day of the week, I read for the same amount of minutes (m). 

7m or 7 x m