Grade 10 - Properties of Numbers

Explore and apply the fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.

Grade 10 Math Number SenseProperties of Numbers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

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

Topics

MathGrade 10Number SenseProperties of NumbersAlgebra

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 + 7) = (5 + 3) + 7?

Commutative Property of Addition

Associative Property of Addition

Distributive Property

Identity Property of Addition

2. Which of the following is an example of the Multiplicative Inverse Property?

a + (-a) = 0

a * 0 = 0

a * (1/a) = 1

a * 1 = a

3. The property states that changing the order of numbers in an addition or multiplication operation does not change the result.

4. The number is the additive identity because any number added to it remains unchanged.

5. The Distributive Property applies to both addition and subtraction over multiplication.

True

False

6. The product of any number and its multiplicative inverse is always 0.

True

False

7. Explain the difference between the Commutative Property and the Associative Property.

8. Simplify the expression using the Distributive Property: 4(x + 3y - 2)

9. Identify the property that justifies each step in the following simplification:

a. 2 + (3 + x) = (2 + 3) + x

b. (2 + 3) + x = 5 + x