Grade 7 Math: Mathematical Properties
Explore and apply the commutative, associative, distributive, and identity properties of addition and multiplication with this Grade 7 math worksheet.
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Grade 7 Math: Mathematical Properties
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Read each question carefully and answer to the best of your ability. Show your work for all calculations.
1. Which property states that the order in which numbers are added or multiplied does not change the sum or product?
Associative Property
Commutative Property
Distributive Property
Identity Property
2. Which equation demonstrates the Distributive Property?
5 + (3 + 2) = (5 + 3) + 2
7 × 1 = 7
4 × (6 + 3) = (4 × 6) + (4 × 3)
9 + 0 = 9
3. The property allows you to change the grouping of numbers in an addition or multiplication problem without changing the result.
4. The multiplicative identity property states that any number multiplied by equals that number.
5. According to the Commutative Property of Addition, 8 + 5 is equal to .
6. The equation (2 × 3) × 4 = 2 × (3 × 4) shows the Commutative Property of Multiplication.
True
False
7. The additive identity is 1.
True
False
8. Use the Distributive Property to rewrite the expression 6 × (7 + 2). Then simplify.
9. Explain the difference between the Commutative Property and the Associative Property.
Match each equation with the property it demonstrates.
10. 12 + 0 = 12
a. Commutative Property of Multiplication
11. 3 × 5 = 5 × 3
b. Associative Property of Addition
12. 9 × (2 × 4) = (9 × 2) × 4
c. Additive Identity Property
13. 5 × (8 - 3) = (5 × 8) - (5 × 3)
d. Distributive Property