5th Grade PEMDAS (Order of Operations)

Explain It

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

True or False: you should always multiply before you divide and always add before you subtract

False: multiplication and division are performed from left to right; so are addition and subtraction.

400

Explain what 5 ³  means.

It means 5 x 5 x 5

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.

Solve It 1

100

3 + 4 x 5

23

200

7 + (2 x 4) - 1

14

300

56 ÷ (4+4) + 3²

16

400

20 – (5+3) x 2 + 4

8

500

(5 x 4) – 6 ÷ 2 + 9

26

Fix It

100

9 - 3 x 2=12

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

200

5 ² + 1=11

5 ² = 25, not 10. Correct Answer is 26.

300

3 x 4 + 5 = 27

3 x 4 should be solved first to get 12, then add 5 to get 17.

400

4 + 5 + 7 - 3 x 2 = 26

Multiplication should be done before adding and subtracting. The correct answer is 10.

500

10 ³  = 30

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

Solve It 2

100

14 - 2 x 7

0

200

49 ÷ (3+4) + 5²

32

300

5 + 14 ÷ 2 × 5

40

400

(4-1)² + (5+ 1)²

45

500

1² + 2² x 3² - 4²

21