Properties of Integers Worksheet

Explore the fundamental properties of integers including commutative, associative, distributive, identity, and inverse properties with this Grade 9 math worksheet.

Grade 9 Math Number SenseProperties of Integers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.7.NS.A.2.CCCSS.MATH.CONTENT.7.NS.A.3

7 sections · Free to use · Printable

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Properties of Integers

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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 property states that a × (b + c) = (a × b) + (a × c)?

Commutative Property of Multiplication

Associative Property of Multiplication

Distributive Property

Identity Property of Multiplication

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

4. The additive inverse of an integer 'a' is .

5. The product of any integer and zero is .

6. The set of integers is closed under division.

True

False

7. The identity element for multiplication of integers is 1.

True

False

8. Explain the difference between the commutative property and the associative property.

9. Give an example of the distributive property in action with integers.

10. Plot the integers -3, 0, and 4 on the number line below.