1.1 Directed numbers

© 2020 Cambridge University Press Unit 1 Integers, powers and roots1/2

SOLUTIONS

TASK 1

a)

–5.5 + 6.2

= 0.7

b)

–2.8 –

(–4.6)

= 1.8

c)

1.9 –

7.3

= –5.4

d)

–7.6 –

(–5.2)

= –2.4

e)

–8.6 –

(–5.8) + (–1.7)

= –4.5

2

i)

–4.8 + [ 2.3 ] = –2.5

ii)

–6.2 –

[ –1.5 ] = –4.7

iii)

5.6 + [ –9.5

] = –3.9

3

a)

(–0.5) × 8

= –4

b)

(–2.4) × (–0.2)

= 0.48

c)

9.6 ÷ (–6)

= –1.6

d)

25.5 ÷ (–0.5)

= –51

e)

(–0.9) × (–0.03)

= 0.027

f)

(–0.3)2

= 0.09

g)

(–0.5)3

= –

0.125

h)

(–2.5) × 6 ÷ (–0.5)

= 30

1

3.2–= 24)–0.2) × (–(j)

= 4.80.6)–0.4) × (–÷ (3.2i)

Revision Worksheet Level 8

1.4 Working with indices

© 2020 Cambridge University Press Unit 1 Integers, powers and roots

SOLUTIONS

TASK 2

1

a

1

4

b

1

16

c

1

64

2

a

36

b

1

36

c

1

6

d

1

e

216

3

a

1

3

b

1

81

c

1

125

d

1

11

e

1

196

4

a

14

9

b

211

4

c

5

6

7

13TASK TASK 3

8<3

500√<7ℎ5<3 100√<4𝑔4<3 60√<3𝑓3<3

25√<2𝑒

21<512√<11𝑑10<97√<9𝑐6<35√<5𝑏3<7√<2𝑎

2 Find the value of n in each of the following

1 Simplify each of the following

4TASK TASK 4

1=0𝑓𝑐2𝑏𝑏84𝑎

6𝑐16𝑏6−𝑎

2/2