Mathematical Properties Review
A Grade 10 math worksheet covering commutative, associative, distributive, identity, and inverse properties.
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Mathematical Properties Review
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. The equation 4 × (7 + 2) = (4 × 7) + (4 × 2) demonstrates which property?
Commutative Property of Multiplication
Associative Property of Multiplication
Distributive Property
Identity Property of Multiplication
3. The Property states that changing the order of operands does not change the result.
4. The Property states that for any real number 'a', a + 0 = a and a × 1 = a.
5. The Inverse Property states that for every non-zero real number 'a', there exists a unique real number 1/a such that a × (1/a) = 1.
6. The Commutative Property applies to both addition and subtraction.
True
False
7. The Associative Property allows you to change the grouping of numbers in multiplication without changing the product.
True
False
8. Explain the difference between the Additive Inverse Property and the Multiplicative Inverse Property. Provide an example for each.
Match each equation with the property it demonstrates.
9. 6 + 0 = 6
a. Commutative Property
10. 3 × 4 = 4 × 3
b. Associative Property
11. 2 + (-2) = 0
c. Distributive Property
12. (1 × 5) × 8 = 1 × (5 × 8)
d. Identity Property
13. 7(x + y) = 7x + 7y
e. Additive Inverse Property
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