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Rational Numbers Introduction
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Rational Numbers Introduction
Show your working where asked. Simplify fractions fully. Use equivalent fractions, decimals or percentages to compare values.
Recognising Rational Numbers
1.Select every rational number.
- −2
- 0.125
- √2
- 7/9
- 3.6%
2.Which statement best describes rational numbers?
- They can be written as a ratio of two integers, with a non-zero denominator.
- They must be positive.
- They can only be written as fractions, never decimals.
- They are numbers that have no decimal part.
Changing Between Fractions, Decimals and Percentages
3.Write 3/8 as a decimal and as a percentage.
4.Convert 0.45 to a fraction in simplest form and to a percentage.
5.Convert 65% to a fraction in simplest form and a decimal.
6.Complete each row with the two equivalent forms that are missing.
Fraction
Decimal
Percentage
1/5
_____
_____
_____
0.7
_____
_____
_____
75%
Pairing Equivalent Values
7.Match each fraction to its equivalent decimal and percentage.
- 3/10
- 7/8
- 1/8
- 2/3
- 2/5
- 0.875 and 87.5%
- 0.125 and 12.5%
- 0.666… and 66.666…%
- 0.4 and 40%
- 0.3 and 30%
Ordering and Comparing
8.Arrange these values from least to greatest: 0.42, 3/5, 35%, 0.7, 5/8.
9.Which value is greater: 0.58 or 7/12? Show a comparison that supports your answer.
10.Compare 82% and 5/6. Which is greater? Show how you know.
Showing Rational Numbers Visually
11.Shade 28 hundredths of the grid to represent 0.28. Then write 0.28 as a fraction in simplest form and as a percentage.
12.Place 1/5, 0.45, 60%, 3/4 and 0.9 on the number line.
Using Rational Numbers
13.Finn gets 21 correct answers out of 28 questions in a quiz. Express her result as a fraction in simplest form, a decimal and a percentage.
14.Explain what makes a number rational. Give one example as a fraction, one as a terminating decimal and one as a repeating decimal.
15.True or false: Every integer is a rational number. Give a reason.
TrueFalse
16.True or false: The repeating decimal 0.181818… is rational. Give a reason.
TrueFalse
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