year 8 maths

214 Chapter 4 Fractions, decimals, percentages and financial mathematics
Example 8
4 Which of the following is the mixed numeral equivalent of 5.75 ?
75
25
3
15
A 5
B 5
C 5
D 5
10
50
4
20
5 Convert the following decimals to fractions in their simplest form.
a 0.31 b 0.537 c 0.815 d 0.96
e 5.35 f 8.22 g 26.8 h 8.512
75
E 5
1000
6 Complete the following statements to convert the fractions to decimals.
3
a
5 = 6 □ = 0. □
b
11
20 = □ 100 = 0.5 □
Example 9
7 Convert the following fractions to decimals.
a
e
17
100
3
25
b
f
301
1000
7
20
c
g
405
100
8 Using a calculator, convert the following decimals to fractions and fractions to decimals.
a 0.052 b 6.125 c 317.06 d 0.424
e
11
40
f
3
8
9 Convert the following mixed numerals to decimals and then place them in ascending order.
Consider whether to use a calculator or not. Possibly a combination of mental arithmetic and some
simple calculator keystrokes is the most efficient strategy.
2
2
5 , 2 1
4 , 2 3
8 , 2 7
40 , 2 9
50 , 2 3
10
g
5
2
17
25
d
h
h
76
10
7
4
29
125
PROBLEM-SOLVING AND REASONING
10, 11, 13 11–14
12–14
10 The distances from Nam’s locker to his six different
classrooms are listed below.
• locker to room B5 (0.186 km)
• locker to gym (0.316 km)
• locker to room A1 (0.119 km)
• locker to room C07 (0.198 km)
• locker to room P9 (0.254 km)
• locker to BW Theatre (0.257 km)
List Nam’s six classrooms in order of distance of his locker
from the closest classroom to the one furthest away.
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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