Grade 5 Math: Properties of Numbers
Explore the commutative, associative, and distributive properties of numbers with this engaging Grade 5 math worksheet.
Includes
Standards
Topics
Properties of Numbers
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
1. Which equation demonstrates the Commutative Property of Addition?
5 × (2 + 3) = (5 × 2) + (5 × 3)
7 + 3 = 3 + 7
(4 + 2) + 6 = 4 + (2 + 6)
9 × 1 = 9
2. Which equation demonstrates the Commutative Property of Multiplication?
6 × 8 = 8 × 6
10 × 0 = 0
2 + (3 + 5) = (2 + 3) + 5
4 × (1 + 7) = 4 × 1 + 4 × 7
3. The Associative Property of Addition states that changing the grouping of the addends does not change the .
4. Complete the equation using the Associative Property of Multiplication: (2 × 3) × 4 = 2 × ( ).
5. (10 + 5) + 2 = 10 + (5 + 2) is an example of the Associative Property of .
6. Use the Distributive Property to rewrite the expression: 6 × (7 + 3). Then solve.
7. Explain in your own words what the Distributive Property means.
8. The Commutative Property applies to subtraction.
True
False
9. The Associative Property of Multiplication allows you to change the order of the numbers being multiplied.
True
False
Match each equation with the property it demonstrates.
10. 8 + (2 + 4) = (8 + 2) + 4
a. Commutative Property of Addition
11. 5 × 9 = 9 × 5
b. Associative Property of Multiplication
12. 3 × (10 - 2) = 3 × 10 - 3 × 2
c. Distributive Property
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