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226 Chapter 4 Fractions, decimals, percentages and financial mathematics

Example 14

3 Convert the following fractions to decimals.

3

3

a

b

5

4

c

1

8

d

11

20

Example 15

4 Express the following fractions as recurring decimals.

1

5

a

b

c

3

9

5

6

d

8

11

e

3

7

f

5

13

2

g 3

15

6

h 4

7

5 Write down the ‘critical’ digit (i.e. the digit immediately after the rounding digit) for each of the

following.

a 3.5724 (rounding to three decimal places)

b 15.89154 (rounding to one decimal place)

c 0.004571 (rounding to four decimal places)

d 5432.726 (rounding to two decimal places)

6 State how you round decimal numbers on your calculator.

Example 16

7 Round each of the following to the specified number of decimal places, which is the number in the

bracket.

a 0.76581 (3)

b 9.4582 (1)

c 6.9701 (1)

d 21.513426 (4)

e 0.9457 (2)

f 17.26 (0)

g 8.5974 (2)

h 8.10552 (3)

Example 17

8 Write each of the following decimals, correct to two decimal places.

a 17.0071

b 0.9192

c 4.4444

d 14.5172

e 5.1952

f 78.9963

g 0.0015

h 2.6808

9 Round each of the following to the nearest whole number.

a 65.3197

b 8.581

c 29.631

d 4563.18

10 Write each of the following fractions as decimals, correct to two decimal places.

6

2

4

a

b

c

d

7

9

11

5

12

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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