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Rational Numbers Introduction

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Rational Numbers Introduction

Show your working for calculation questions. Fractions should be written in simplest form where possible.

Recognising Rational Numbers

1.Select every rational number: ⅜, 0.42, 17%, −5/6, and π.

⅜
0.42
17%
−5/6
π

2.In the fraction 7/9, what is the name of the top number and the name of the bottom number?

3.How many digits are after the decimal point in 0.608?

4.Complete the statement: 3/5 and 0.6 have the same value, so they are numbers.

Writing Forms and Comparing Values

5.Match each fraction to its decimal and percentage.

3/10
1/2
2/5
3/4

0.3 and 30%
0.5 and 50%
0.4 and 40%
0.75 and 75%

6.Which value is greatest: 7/10, 0.68, 65%, or 2/3?

7/10
0.68
65%
2/3

Using Rational Numbers

7.At a football tournament, Keira completes 21 of 30 passes. Write this result as a fraction in simplest form, a decimal, and a percentage.

8.Oliver says that 0.45 of the tournament tickets have been sold. Write 0.45 as a fraction in simplest form and as a percentage.

9.Ngaio’s team won 80% of its 15 football matches. How many matches did the team win? Give the number of wins as a fraction of the matches played, in simplest form.

10.The fraction bar below is divided into 8 equal parts. Shade 3 parts, then write the shaded amount as a decimal and a percentage.

11.Arrange 0.46, 2/5, 43%, 0.4, and 9/20 from smallest to largest.

12.Explain what makes a number rational. Give one example written as a fraction, one as a terminating decimal, and one as a percentage.

Challenge

13.A football shirt costs $96. It is discounted by one quarter of its original price. What is the discounted price?

14.For each statement, decide whether it is true or false: (a) Every terminating decimal is rational. (b) 0.272727… can be written as a fraction. (c) A percentage greater than 100% can be rational. (d) −3/8 is rational.

TrueFalse