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Properties of Rational Numbers Review

A Grade 8 worksheet covering the properties of rational numbers, including identification, comparison, and operations.

Grade 8 Math Number SenseProperties of Rational Numbers
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Includes

Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerMatchingLong Answer

Standards

CCSS.MATH.CONTENT.8.NS.A.1CCSS.MATH.CONTENT.8.NS.A.2

Topics

mathgrade 8rational numbersnumber senseproperties
8 sections · Free to use · Printable
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Properties of Rational Numbers Review

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following numbers is NOT a rational number?

a

0.75

b

√9

c

π

d

-2/3

2. Which property is demonstrated by the equation: 5 + (3 + 2) = (5 + 3) + 2?

a

Commutative Property

b

Associative Property

c

Distributive Property

d

Identity Property

1. The product of two rational numbers is always a rational number.

T

True

F

False

2. Every integer is also a rational number.

T

True

F

False

1. A rational number can be expressed as a fraction p/q, where p and q are   and q is not equal to  .

2. The   property states that changing the order of addends or factors does not change the sum or product.

1. Explain why 0.333... (repeating) is a rational number.

2. Order the following rational numbers from least to greatest: 1/2, -0.75, 5/4, 0.2

-1-0.500.51

Match each property with its example.

1. Commutative Property

 

a. 3 * (4 + 2) = 3*4 + 3*2

2. Associative Property

 

b. 7 + 0 = 7

3. Distributive Property

 

c. (2 * 5) * 3 = 2 * (5 * 3)

4. Identity Property of Addition

 

d. 4 + 5 = 5 + 4

1. A recipe calls for 3/4 cup of sugar and 1/2 cup of flour. If you want to double the recipe, how much sugar and flour will you need in total? Express your answer as mixed numbers or improper fractions in simplest form.