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Grade 9 Number Properties Worksheet

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

Grade 9 Math Number SenseProperties of Numbers
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustomMatching

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.SSE.B.3

Topics

mathgrade 9number propertiesalgebra
8 sections · Free to use · Printable
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Grade 9 Number Properties

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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?

a

Commutative Property of Addition

b

Associative Property of Addition

c

Distributive Property

d

Identity Property of Addition

2. The   property states that a(b + c) = ab + ac.

3. The additive inverse of -7 is  .

4. The multiplicative inverse of 0 is 0.

T

True

F

False

5. Explain the difference between the commutative and associative properties using an example for each.

6. Plot the numbers -3, 0, and 4 on the number line below.

-5-3-10135

Match each expression with the property it demonstrates.

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

 

a. Distributive Property

8. a * 1 = a

 

b. Commutative Property of Multiplication

9. 3 * (4 + 5) = 3 * 4 + 3 * 5

 

c. Associative Property of Addition

10. 6 * 7 = 7 * 6

 

d. Multiplicative Identity Property