PEMDAS (Order of Operations)

Word Stuff

100

Give the correct order of operations.

Parentheses, Exponents, Multiplication OR Division, Addition OR Subtraction

200

Give examples of the SYMBOLS for the correct ORDER of OPERATIONS.

( ) OR [ ]

2³

X  or  ÷

+  or  - 

300

Which of the following is NOT an INTEGER?

a) 0     b) 1/2     c) 4     d) -1

b because integers do not include the fractions.

400

Tell what 5 ³ really means.

It means 5 x 5 x 5

500

Jon worked 20 - 5 x 2 + 3 and his answer was 33. What did he do incorrectly?

He did not follow the order of operations because he should have multiplied 5 x 2 FIRST, and then completed the steps using subtraction and addition.

Fix my Mistake

100

9 - 3 x 2 =  6 x 2  =  12

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

200

5 ² + 1= 5 x 2 + 1 = 10 + 1 = 11

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

300

3²  - 6 =   3 x 2 - 6 = 6 - 6 = 0

3 ²  = 9, not 6. Correct answer is 3

400

4 + 5 + 7 - 3 x 2 = 

9 + 7 - 3 x 2 = 

16 - 3 x 2 = 

13 x 2 = 26

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

500

10 ³  =  10 x 3 = 30

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

Simplify

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

Simplify

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

INTEGER operations

100

4 + 5 =

9

200

4 + -5 =

-1

300

-4 + -5 =

-9

400

Write an integer problem for the following.

Anna's mom gave her a $20 bill and told her to go to the store and buy some milk.  The milk was $4.  Write an equation showing the transaction for Anna's purchase.

$20 - $4 = $16

500

-12 + 20 = 8   Which of the following is a situation where this equation is used?

a) You have $12 and buy a shirt for $20.

b) You have $20 and buy a shirt for $12.

b) You have $20 and buy a shirt for $12.