Spiraling Review
Order of Operations
Solve using PEMDAS
Word Problems
Prime and Composite Numbers
100
 7 x 8

56

100
What does the "P" stand for in PEMDAS?

Parentheses

100

3 + 4 x 2

11

100

What do the brackets indicate in the expression?

46 - 2 x [(6 + 6) / 3]

Solve 12 / 3 before multiplying by 2 

100

Is 1 a prime or composite number?

Neither!

200

Write the following number in expanded notation: 

623.891

(6 x 100) + (2 x 10) + (3 x 1) + (8 x 0.1) + (9 x 0.01) + (1 x 0.001)

200

What do we solve first according to the order of operations: parentheses or multiplication?

Parentheses!

200

(5 - 2) x 3 + 7

18

200

Which choice gives the correct order of operations needed to find the value of the expression below?

27 / (7 - 4) + 2 x 5

A. -, / , +, x

B. -, /, x, + 

B. - first, then /, then x, and finally +

200

True or False:

All numbers have two factors: 1 and themselves. 

True!

300

3.28 + 4.305

7.585

300

What do we solve first according to the order of operations: multiplication or addition?

Multiplication

300

8 + 6 / 2 - 1

(/ = dividing)

10

300

Jude and Gunner earned money for completing chores. 

- Jude earned $14 washing dishes and $25 washing clothes. 

- Jude earned 3 times as much as Gunner. 

- Gunner spent $2 of his earnings. 

What expression can be used to determine that Gunner had $11 of his earnings left? 

(14 + 25) / 4 - 2 = 11

300

What is a prime number?

A number that only has 2 factors: 1 and itself. 

400

Order the following decimals from least to greatest: 

0.679, 0.967, 0.367, 0.045677

0.045677,  0.367, 0.679, 0.967

400

What do we solve first according to the order of operations: multiplication or division?

We solve whatever comes first when solving the equation from left to right. 

400

2 x (9 - 5) + 8 / 2

(/ = dividing)

12

400

Four students evaluated this numerical expression:

40 - [(30 / 5) x 3]

a) Chandler´s answer was 102

b) Raina´s answer was 6 

c) Emma´s answer was 22

d) Sophia´s answer was 58 

Which student gave the correct response?

Emma

400

What are the factors for 12? Is it prime or composite?

1 x 12 

2 x 6

3 x 4

Composite! Because it has more than two factors. 

500

Round the decimal to the nearest tenth 

5.698

5.7

500

Why are the M and the D (and the A and the S) on the same level in the PEMDAS chart?

Because you solve multiplication or division at the same time, starting with the one that comes first. This is the same case for addition and subtraction. 

500

12 / [(3 + 1) + 5 - 6]

(/ = dividing) 

4

500

Two students in a math competition placed grouping symbols in the following expression: 

3 x 4 + 3 x 5

Maggie: (3x4) + (3x5)

Sabrina: 3 x (4 + 3) x 5

Which student created the expression with the least value? 

Maggie 

27 < 105

500

What are the factors of 11? Is it prime or component?

Factors of 11: 1 x 11

It is prime!