Grade 9 Number Properties Worksheet
Explore and apply fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.
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Grade 9 Number Properties
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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 property states that a(b + c) = ab + ac.
3. The additive inverse of -7 is .
4. The multiplicative inverse of 0 is 0.
True
False
5. Explain the difference between the commutative and associative properties using an example for each.
6. Plot the numbers -3, 0, and 4 on the number line below.
Match each expression with the property it demonstrates.
7. (x + y) + z = x + (y + z)
a. Distributive Property
8. a * 1 = a
b. Commutative Property of Multiplication
9. 3 * (4 + 5) = 3 * 4 + 3 * 5
c. Associative Property of Addition
10. 6 * 7 = 7 * 6
d. Multiplicative Identity Property
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