Properties of Integers Worksheet

Explore and apply the fundamental properties of integers including closure, commutativity, associativity, distributivity, and identity elements.

Grade 12 Math Number SenseProperties of Integers

Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

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

Topics

integerspropertiesnumber sensealgebragrade 12

7 sections · Free to use · Printable

Properties of Integers

Name:

Date:

Score:

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

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. What is the additive identity element for integers?

-1

Any integer

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

4. The multiplicative inverse of an integer a (where a ≠ 0) is .

5. Division of integers is always closed.

True

False

6. The set of integers is associative under subtraction.

True

False

7. Give an example to illustrate the distributive property of multiplication over addition for integers.

8. Explain why the multiplicative inverse property does not hold for all integers.

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