Home / Worksheets / Grade 12 / Math / Grade 12 Mathematical Properties Worksheet

Grade 12 Mathematical Properties Worksheet

Explore and apply fundamental mathematical properties including commutative, associative, distributive, identity, and inverse properties for various operations.

Grade 12 Math Number SenseMathematical Properties
Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.HSN.RN.A.1CCSS.MATH.CONTENT.HSA.SSE.A.2
7 sections · Free to use · Printable
← More Math worksheets for Grade 12

Mathematical Properties Review

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for short answer questions.

1. Which property is illustrated by the equation a + (b + c) = (a + b) + c?

a

Commutative Property of Addition

b

Associative Property of Addition

c

Distributive Property

d

Identity Property of Addition

2. The equation 5(x + 2) = 5x + 10 demonstrates which property?

a

Commutative Property of Multiplication

b

Associative Property of Multiplication

c

Distributive Property

d

Identity Property of Multiplication

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

4. The number 0 is the additive  .

5. For any real number 'a', its multiplicative inverse is  .

6. The associative property applies to both addition and subtraction.

T

True

F

False

7. The distributive property allows multiplication to be distributed over addition or subtraction.

T

True

F

False

8. Explain the difference between the commutative and associative properties using examples for both addition and multiplication.

Match each property with its corresponding example.

9. Identity Property of Addition

 

a. 7 * 1 = 7

10. Inverse Property of Multiplication

 

b. 9 + 0 = 9

11. Commutative Property of Multiplication

 

c. 4 * (1/4) = 1

12. Associative Property of Multiplication

 

d. 3 * 5 = 5 * 3

13. Distributive Property

 

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