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

What is the mistake in this problem? 

What is the correct answer?

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

200

5 ² + 1=11

What is the mistake in this problem? 

What is the correct answer?

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

300

3²  - 6 = 0

What is the mistake in this problem? 

What is the correct answer?

3 ²  = 9, not 6. Correct answer is 3

400

4 + 5 + 7 - 3 x 2 = 26

What is the mistake in this problem? 

What is the correct answer?

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

500

10 ³  = 30

What is the mistake in this problem? 

What is the correct answer?

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

Word Problems

100

Sara collects stickers. Her sticker book holds 4 stickers in each row. When a page is full, it holds 48 stickers. How many rows (r) of stickers are on a full page?

 

r = 12 rows

200

Frank makes 80 glasses of lemonade for his lemonade stand. Is costs Jim $0.52 to make each glass of lemonade, and he sells each glass for $1.00. How much profit will Jim make on the 80 glasses?

$38.40

300

Jim sets up dominos in rows of 30. If he uses a total of 720 dominos, how many rows (r) does he set up? 

r = 24 rows

400

Pop cans are collected at a picnic and arranged in 8 rows. There are 120 pop (p) cans. How many pop cans are in each row? 

p = 15

500

Sara collects stickers. Her sticker book holds 4 stickers in each row. When a page is full, it holds 48 stickers. How many rows (r) of stickers are on a full page?

4 x r = 48  

or

r = 48 / 4