Grade 8 Properties of Numbers Worksheet

Engage grade 8 students with this worksheet on properties of numbers, covering rational and irrational numbers, commutative, associative, and distributive properties.

Grade 8 Math Number SenseProperties of Numbers

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatchingCustom

Standards

CCSS.MATH.CONTENT.8.NS.A.1CCSS.MATH.CONTENT.8.NS.A.2CCSS.MATH.CONTENT.7.NS.A.3

Topics

mathgrade 8number propertiesrational numbersirrational numbers

8 sections · Free to use · Printable

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Properties of Numbers

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 irrational?

0.333...

√49

-5

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

Commutative Property of Addition

Associative Property of Addition

Distributive Property

Identity Property of Addition

3. The set of all rational and irrational numbers is called the numbers.

4. The Property states that a(b + c) = ab + ac.

5. Explain the difference between a rational and an irrational number. Provide an example of each.

6. The product of two irrational numbers is always irrational.

True

False

7. The number 0 is a rational number.

True

False

Match the property with its example:

8. Commutative Property

a. 3 * (4 + 5) = 3 * 4 + 3 * 5

9. Associative Property

b. 7 + 2 = 2 + 7

10. Distributive Property

c. (6 * 2) * 5 = 6 * (2 * 5)

11. Plot the following numbers on the number line below: -2.5, 0, 1.75, √9, -π