Mathematical Properties Review

A Grade 10 math worksheet covering commutative, associative, distributive, identity, and inverse properties.

Grade 10 Math Number SenseMathematical Properties

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1.ACCSS.MATH.CONTENT.HSA.SSE.A.2

Topics

mathgrade 10algebramathematical properties

7 sections · Free to use · Printable

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

1. 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

2. The equation 4 × (7 + 2) = (4 × 7) + (4 × 2) demonstrates which property?

Commutative Property of Multiplication

Associative Property of Multiplication

Distributive Property

Identity Property of Multiplication

3. The Property states that changing the order of operands does not change the result.

4. The Property states that for any real number 'a', a + 0 = a and a × 1 = a.

5. The Inverse Property states that for every non-zero real number 'a', there exists a unique real number 1/a such that a × (1/a) = 1.

6. The Commutative Property applies to both addition and subtraction.

True

False

7. The Associative Property allows you to change the grouping of numbers in multiplication without changing the product.

True

False

8. Explain the difference between the Additive Inverse Property and the Multiplicative Inverse Property. Provide an example for each.

Match each equation with the property it demonstrates.

9. 6 + 0 = 6

a. Commutative Property

10. 3 × 4 = 4 × 3

b. Associative Property

11. 2 + (-2) = 0

c. Distributive Property

12. (1 × 5) × 8 = 1 × (5 × 8)

d. Identity Property

13. 7(x + y) = 7x + 7y

e. Additive Inverse Property