Classifying Rational Numbers
A Grade 8 math worksheet focusing on classifying rational and irrational numbers, converting between forms, and understanding number properties.
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Topics
Classifying Rational Numbers
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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 of the following numbers is an irrational number?
0.333...
√16
π
-7
2. Which set of numbers contains only rational numbers?
{√2, 0.5, -3}
{1/3, -4/5, 0.75}
{π, √9, 0}
{√7, 2/3, 4.2}
3. A rational number can be expressed as a of two integers, where the denominator is not zero.
4. All integers are numbers, but not all rational numbers are integers.
5. The number 0.121221222... is a rational number.
True
False
6. Every terminating decimal is a rational number.
True
False
7. Convert 0.45 to a fraction in simplest form.
8. Explain why √25 is a rational number, but √2 is an irrational number.
9. Plot the following numbers on the number line below: -1.5, 0, 2/3, √4
Match each number to its correct classification.
10. 5
a. Integer
11. 3/4
b. Whole Number
12. √10
c. Irrational Number
13. 0
d. Rational Number