GEMS (Order of Operations)

Word Stuff

100

Give the correct order of operations.

Groupings, Exponents, Multiplication OR Division, Subtraction or Addtion

200

Why is it important to know GEMS in math?

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

Order of steps to solve problems correctly.

400

Tell what 5 ³ really 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.

Fix my Mistake

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

3² - 6 = 0

3 ² = 9, not 6. 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

56 ÷ (4+4) + 3²

16

400

20 – (5+3) x 2 + 4

8

500

(5 x 4) – 6 ÷ 2 + 9

26

Solve

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