Properties of Integers: Grade 11 Review

This worksheet covers fundamental properties of integers, including closure, commutativity, associativity, identity, inverse, and distributivity, suitable for Grade 11 math students.

Grade 11 Math Number SenseProperties of Integers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustomMatching

Standards

CCSS.MATH.CONTENT.HSA.N.B.3CCSS.MATH.CONTENT.HSA.N.RN.3

Topics

integerspropertiesalgebranumber sensegrade 11

8 sections · Free to use · Printable

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Properties of Integers: Grade 11 Review

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Read each question carefully and provide the best answer. Show all your work where applicable.

1. Which property of integers states that the product of any two integers is always an integer?

Commutative Property

Associative Property

Closure Property

Distributive Property

2. According to the Additive Inverse Property, what is the inverse of -7?

1/7

-1/7

3. The property states that for any integers a, b, and c, a + (b + c) = (a + b) + c.

4. The multiplicative identity for integers is .

5. The set of integers is closed under division.

True

False

6. The commutative property applies to subtraction of integers.

True

False

7. Explain the Distributive Property of multiplication over addition with an example.

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

Match each property with its example.

9. Commutative Property of Addition

a. 5 + (-5) = 0

10. Associative Property of Multiplication

b. 3 * (2 * 4) = (3 * 2) * 4

11. Additive Inverse Property

c. 7 + 2 = 2 + 7