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Rational Numbers Introduction
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Rational Numbers Introduction
Show your working where useful. Give fractions in simplest form.
Recognising rational numbers
1.A rational number can be written as a fraction with what kind of numbers in its numerator and denominator?
2.Select every rational number in this list.
- −5/8
- 0.42
- −130%
- √7
- 12
3.In the fraction 7/11, name the numerator and the denominator.
Connecting fractions, decimals and percentages
4.Match each fraction to the equivalent decimal and percentage.
- 3/5
- 1/8
- 7/10
- 9/20
- 0.7 and 70%
- 0.6 and 60%
- 0.45 and 45%
- 0.125 and 12.5%
5.Which value is greatest: 0.58, 3/5, or 57%?
- 0.58
- 3/5
- 57%
- They are all equal
Using rational numbers
6.A netball player scores 21 goals from 28 shots. Write the success rate as a fraction in simplest form, a decimal, and a percentage.
7.A water tank is 0.625 full. Write this amount as a fraction in simplest form.
8.A basketball team wins 65% of its 40 matches. How many matches does it win?
9.The fraction bar represents one whole split into 8 equal parts. Shade 5 parts to show 5/8. Then write 5/8 as a decimal and a percentage.
10.Arrange 0.52, 1/2, 55%, and 5/8 from smallest to largest.
11.Explain why 4/9 is rational, then give another example of a rational number as a fraction, decimal, or percentage.
Challenge
12.Write each decimal as a fraction in simplest form: 0.16, 0.45, and 0.875.
13.A rain jacket costs NZ$90. It is reduced by 20%. What is its sale price?
14.True or false: every integer is a rational number. Support your answer with a fraction example.
TrueFalse
3 printable pages
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