Comparing Real Numbers Worksheet
Grade 8 math worksheet focusing on comparing and ordering real numbers, including rational and irrational numbers, using number lines and inequality symbols.
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Standards
Topics
Comparing Real Numbers
Name:
Date:
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Read each question carefully and follow the instructions. Show all your work where applicable.
1. A rational number can be expressed as a of two integers, where the denominator is not zero.
2. An irrational number cannot be expressed as a simple .
3. When comparing numbers on a number line, the number further to the right is always .
4. Which of the following numbers is irrational?
0.75
√9
π
-5
5. Which inequality statement is true?
√16 < 3.9
π > 3.15
1/3 > 0.34
-2.5 < -3
6. Order the following numbers from least to greatest: 2.5, √4, π, -1/2, 0.
7. Order the following numbers from greatest to least: -3.8, -√16, 1.2, 5/4, 0.9.
8. Plot the following numbers on the number line below: -1.5, 0.5, √3, -2.
9. All integers are rational numbers.
True
False
10. The square root of any non-perfect square is an irrational number.
True
False
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