Mathematical Properties Review
This worksheet covers fundamental mathematical properties including 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 work where applicable.
1. Which property is illustrated by the equation (a + b) + c = a + (b + c)?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. The expression 5(x + 3) can be rewritten as 5x + 15 due to 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 the operands does not change the result of addition or multiplication.
4. The number is the additive identity because any number added to it remains unchanged.
5. The inverse property of multiplication states that for every non-zero number 'a', there exists a unique number 1/a such that a * (1/a) = .
6. The Associative Property applies to subtraction.
True
False
7. The Distributive Property allows you to multiply a sum by multiplying each addend separately and then adding the products.
True
False
8. Provide an example of the Commutative Property of Multiplication.
9. Explain the difference between the Additive Inverse and the Multiplicative Inverse.
Match each property with its mathematical definition.
10. Associative Property
a. a + 0 = a
11. Identity Property of Addition
b. a(b + c) = ab + ac
12. Distributive Property
c. (a * b) * c = a * (b * c)
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