Comparing Rational Numbers - Grade 12
A Grade 12 math worksheet focusing on comparing and ordering rational numbers using various methods.
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Standards
Topics
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 applicable.
1. Which of the following statements is true?
0.75 < 3/5
-2/3 > -0.6
1.25 = 5/4
-4/5 < -0.85
2. Arrange the following rational numbers in ascending order: 0.3, 1/3, 0.33, 3/10
0.3, 3/10, 0.33, 1/3
3/10, 0.3, 0.33, 1/3
1/3, 0.33, 0.3, 3/10
0.3, 0.33, 3/10, 1/3
3. To compare fractions with different denominators, you must first find a .
4. A rational number can be expressed as a , where p and q are integers and q is not equal to zero.
5. All integers are rational numbers.
True
False
6. Between any two distinct rational numbers, there exists an infinite number of other rational numbers.
True
False
7. Compare -3/4 and -0.7. Explain your reasoning.
8. Plot the following rational numbers on the number line below: -1/2, 0.25, -0.75, 1/4. Then, list them in descending order.
Descending order:
Match the rational number with its equivalent form.
9. 0.6
a. 1/2
10. 0.5
b. 3/5
11. 0.25
c. 1/4