Grade 12 Mathematical Properties Worksheet
Explore and apply fundamental mathematical properties including commutative, associative, distributive, identity, and inverse properties for various operations.
Includes
Standards
Mathematical Properties Review
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Date:
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
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 equation 5(x + 2) = 5x + 10 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 number 0 is the additive .
5. For any real number 'a', its multiplicative inverse is .
6. The associative property applies to both addition and subtraction.
True
False
7. The distributive property allows multiplication to be distributed over addition or subtraction.
True
False
8. Explain the difference between the commutative and associative properties using examples for both addition and multiplication.
Match each property with its corresponding example.
9. Identity Property of Addition
a. 7 * 1 = 7
10. Inverse Property of Multiplication
b. 9 + 0 = 9
11. Commutative Property of Multiplication
c. 4 * (1/4) = 1
12. Associative Property of Multiplication
d. 3 * 5 = 5 * 3
13. Distributive Property
e. (2 * 3) * 4 = 2 * (3 * 4)
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