Properties of Numbers Worksheet

Explore and apply the fundamental properties of numbers including commutative, associative, distributive, identity, and inverse properties with this Grade 7 math worksheet.

Grade 7 Math Number SenseProperties of Numbers

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.7.NS.A.3CCSS.MATH.CONTENT.7.EE.A.3

7 sections · Free to use · Printable

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Properties of Numbers

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which property of multiplication states that changing the order of the factors does not change the product?

Associative Property

Commutative Property

Distributive Property

Identity Property

2. Which equation demonstrates the Additive Inverse Property?

5 + 0 = 5

7 + (-7) = 0

3 × 1 = 3

2 × (3 + 4) = 2 × 3 + 2 × 4

3. The property allows you to multiply a sum by multiplying each addend separately and then adding the products.

4. According to the property, (a + b) + c = a + (b + c).

5. Use the Distributive Property to simplify the expression: 6(x + 4).

6. Explain the difference between the Commutative Property of Addition and the Associative Property of Addition. Provide an example for each.

7. The Multiplicative Identity Property states that any number multiplied by 0 equals 0.

True

False

8. The product of a number and its multiplicative inverse is always 1.

True

False

Match each property with its example.

9. Commutative Property of Addition

a. 8 + 0 = 8

10. Associative Property of Multiplication

b. (2 × 3) × 4 = 2 × (3 × 4)

11. Additive Identity Property

c. 5 + 3 = 3 + 5

12. Multiplicative Inverse Property

d. 7 × (1/7) = 1