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 does the E stand for in PEMDAS?

exponents

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 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

Solve 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

Expanded Form and Scientific Notation

100

What is 437 in scientific notation?

4.31 x 10^2

200

What is 438 072 in expanded form using powers of ten?

4 x 10⁵ + 3 x 10⁴ + 8 x 10³ + 7 x 10 + 2 x 1

300

What is 8 902 in scientific notation?

8.902 x 10^3

400

What is 9 704 308 in expanded form using powers of ten?

9 x 10⁶ + 7 x 10⁵ + 4 x 10³ + 3 x 10² + 8 x 1

500

What is 543.27 in scientific notation?

5.4327 x 10²