Properties of Rational Numbers - Grade 9 Math Worksheet
Explore and identify the properties of rational numbers including closure, commutative, associative, identity, and inverse properties.
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Properties of Rational Numbers
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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 states that the sum of two rational numbers is always a rational number?
Commutative Property
Associative Property
Closure Property
Distributive Property
2. What is the additive inverse of -3/4?
3/4
-4/3
4/3
0
3. The multiplicative identity for rational numbers is .
4. According to the property, a × (b + c) = (a × b) + (a × c).
5. The set of rational numbers is closed under division.
True
False
6. Explain the commutative property of addition for rational numbers with an example.
7. Plot the following rational numbers on the number line: -1/2, 0, 3/4, 1.5
Match the property with its definition.
8. Associative Property
a. Changing the order of operands does not change the result.
9. Commutative Property
b. Changing the grouping of operands does not change the result.
10. Identity Property
c. An operation with a specific number leaves the original number unchanged.