PEMDAS (Order of Operations)

Word Stuff

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

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

Powers and Exponents

100

Write the following as a power:

4 x 4 x 4 x 4 x 4 x 4

4⁶

200

Solve for the value:

5³

125

300

Which of the following number or numbers are not perfect squares:

12, 25, 144, 225, 9

12

400

Write the product as a power:

2 x 2 x 2 x 16 x 16

2³ x 16²

500

What is the capital of Germany?

Berlin