Properties of Rational Numbers Review
A Grade 8 worksheet covering the properties of rational numbers, including identification, comparison, and operations.
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Standards
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Properties of Rational Numbers Review
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following numbers is NOT a rational number?
0.75
√9
π
-2/3
2. Which property is demonstrated by the equation: 5 + (3 + 2) = (5 + 3) + 2?
Commutative Property
Associative Property
Distributive Property
Identity Property
1. The product of two rational numbers is always a rational number.
True
False
2. Every integer is also a rational number.
True
False
1. A rational number can be expressed as a fraction p/q, where p and q are and q is not equal to .
2. The property states that changing the order of addends or factors does not change the sum or product.
1. Explain why 0.333... (repeating) is a rational number.
2. Order the following rational numbers from least to greatest: 1/2, -0.75, 5/4, 0.2
Match each property with its example.
1. Commutative Property
a. 3 * (4 + 2) = 3*4 + 3*2
2. Associative Property
b. 7 + 0 = 7
3. Distributive Property
c. (2 * 5) * 3 = 2 * (5 * 3)
4. Identity Property of Addition
d. 4 + 5 = 5 + 4
1. A recipe calls for 3/4 cup of sugar and 1/2 cup of flour. If you want to double the recipe, how much sugar and flour will you need in total? Express your answer as mixed numbers or improper fractions in simplest form.
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