Grade 9 Mathematical Properties Worksheet
Explore and apply fundamental mathematical properties including commutative, associative, distributive, identity, and inverse properties with this comprehensive worksheet for Grade 9.
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Grade 9 Mathematical Properties
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
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 expression 4(x + 3) can be rewritten as 4x + 12 using 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 numbers does not change the sum or product.
4. The number 0 is the identity for addition.
5. The of a number is the number that, when added to the original number, results in zero.
6. The equation (2 × 5) × 7 = 2 × (5 × 7) demonstrates the Commutative Property of Multiplication.
True
False
7. For any real number 'a', a + (-a) = 0 is an example of the Inverse Property of Addition.
True
False
8. Explain the difference between the Commutative Property and the Associative Property.
9. Provide an example of how the Distributive Property can simplify a calculation.
Match each property with its mathematical example.
10. Commutative Property of Multiplication
a. 7 × 1 = 7
11. Associative Property of Addition
b. 9 + 0 = 9
12. Identity Property of Multiplication
c. 4 × 5 = 5 × 4
13. Inverse Property of Multiplication
d. 1/3 × 3 = 1
14. Identity Property of Addition
e. (2 + 3) + 4 = 2 + (3 + 4)