Grade 4 Math: Properties of Numbers
Explore and practice the commutative, associative, and distributive properties of numbers with this Grade 4 math worksheet.
Includes
Standards
Topics
Properties of Numbers
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
1. Which equation shows the Commutative Property of Addition?
(2 + 3) + 4 = 2 + (3 + 4)
5 + 0 = 5
6 + 7 = 7 + 6
3 x (2 + 4) = (3 x 2) + (3 x 4)
2. Complete the equation using the Associative Property of Multiplication: (4 x 2) x 5 = 4 x ( x 5)
3. The Associative Property states that the way numbers are or does not change their sum or product.
4. Use the Distributive Property to solve: 6 x (10 + 3). Show your steps.
5. The Commutative Property applies to both addition and subtraction.
True
False
6. According to the Associative Property, 8 + (2 + 5) is the same as (8 + 2) + 5.
True
False
Match each equation with the property it demonstrates.
7. 9 x 1 = 9
a. Commutative Property of Addition
8. 12 + 0 = 12
b. Associative Property of Multiplication
9. 5 + 8 = 8 + 5
c. Identity Property of Addition
10. (3 x 4) x 2 = 3 x (4 x 2)
d. Identity Property of Multiplication
11. Draw a number line to show the Commutative Property of Addition for 2 + 3 = 5.