Expressions Review

Properties

100

What are the five properties?

Commutative, Associative, Distributive, Identity, and Inverse

200

Find the missing number.

2 × (6 + 1) = 2 × ___ + 2 × 1

6

300

Which property states that the sum of 0 (zero) and any number is the original number and that the product of 1 and any number is the original number? 

Identity

400

What property is used below?

9 (15) = 9 (10 + 5) = 9 (10) + 9 (5)

Distributive

500

Find the missing number and the property being used.

8 + (___ + 4) = (8 + 8) + 4

8 ; Associative

Exponents

100

Any number to the power of 0 (zero) is _____

1

200

Which of the expressions below is cubed? Solve that expression.

8⁰     6²     3⁴    7³

7³ ; 343

300

Write the following expression in standard form:

3⁴

81

400

What whole number equals 25 when it is squared and 125 when it is cubed?

5

500

Compare the two expressions. Write <, >, or =

2⁵     9²   

<

Order of Operations

100

Which operation should be completed first in the expression below?

7 - 3 ● 2 =

3 ● 2 

200

Solve the expression below:

3(5 + 7) - 5 =

31

300

Solve the expression below:

2⁴ - 24 ÷ 3 + 1 =

9

400

Solve the expression below:

8 ÷ (1 + 3) ● 52 - 2 =

102

500

Solve the expression below:

5(2 + 3) - 5⁰ + 10 ÷ 2 =

29

Vocabulary

100

What are factors?

Numbers that are multiplied together

200

What property states that we can add numbers in any order and multiply numbers in any order?

Commutative Property

300

What is the additive inverse property? What is the multiplicative inverse property?

Additive: Adding the opposite (inverse)

Multiplicative: Multiplying by the reciprocal

400

Which number is the power? Which number is the base?

4⁵

Power: 5       Base: 4

500

What does PEMDAS stand for?

Parenthesis, Exponents, Multiplication or Division, Addition or Subtraction

All of the above

100

Which number below is the exponent?

3²

2

200

Find the missing number below and the property used:

5 + 16 = 16 + ___

5 ; Commutative

300

Which expression below is written in exponential form?

4 x 4 x 4        4³          64

4³

400

Solve the expression below using Order of Operations 

10 + 20 ÷ 4 + 3³

42

500

A light year is the distance light travels in one year. The Milky Way galaxy is about 1,000,000 light years wide. Write 1,000,000 as a power with 10 as the base.

10⁶