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Rational Numbers Practice
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Rational Numbers Practice
Choose the best answer where options are given. Show your work for conversions and use the number line to compare values.
Recognising and Comparing Rational Numbers
1.Which list contains only rational numbers?
- 0.4, −3/8, 7
- √2, 0.6, 1/5
- π, −2, 3/4
- 0.12, √5, 9/10
2.A juice bottle costs $0.90. A snack costs 4/5 of a dollar. Which costs more?
- The juice bottle
- The snack
- They cost the same
- There is not enough information
3.Which number is closest to 3/4?
- 0.62
- 0.70
- 0.82
- 1.05
4.Order these numbers from least to greatest: −0.6, −1/4, 0.2, 3/5.
Converting Fractions and Decimals
5.Write 3/8 as a decimal.
6.Write 7/20 as a decimal.
7.Write 0.45 as a fraction in simplest form.
8.Write 0.125 as a fraction in simplest form.
9.Convert 9/4 to a decimal. You may write the answer as a decimal or a mixed number.
10.Match each decimal to its equivalent fraction in simplest form.
- 0.2
- 0.75
- 0.4
- 0.6
- 1/5
- 3/5
- 2/5
- 3/4
Number Lines and Reasoning
11.Plot and label −1.25, −1/2, 0, 0.5, and 1.5 on the number line.
12.Explain how you can tell whether a number is rational, and give two examples that are not whole numbers.
13.The repeating decimal 0.272727... continues with the same two digits. Write it as a fraction in simplest form.
14.On a number line from 0 to 1, where should 5/8 be placed? Give its decimal value and describe its position relative to 1/2 and 1.
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