Comparing Rational Numbers
A Grade 9 math worksheet focusing on comparing and ordering rational numbers using various methods.
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Comparing Rational Numbers
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Date:
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Read each question carefully and follow the instructions. Show all your work where necessary.
1. Which of the following rational numbers is the smallest?
3/4
0.7
5/8
0.72
2. Which statement is true?
-1/2 > -0.4
0.25 < 1/3
0.6 = 2/3
-0.75 < -3/4
3. To compare two rational numbers, you can convert them to a common or to form.
4. On a number line, the rational number further to the right is always .
5. Order the following rational numbers from least to greatest: 2/3, 0.6, 5/7, 0.65
6. Place the following numbers on the number line provided: -1/4, 0.5, -0.75, 1/2
7. Every integer is a rational number.
True
False
8. All repeating decimals are irrational numbers.
True
False
Match the rational number on the left with its equivalent on the right.
9. 0.8
a. 1/3
10. 0.33...
b. 4/5
11. -0.25
c. -1/4
12. Explain in your own words how to compare two rational numbers that are given in different forms (e.g., one as a fraction and one as a decimal). Provide an example.