Decimals Homework Chapter 3 - Rosshall Academy. (a) 4 teenagers share the cost of a take-away meal. The total bill is £28·55. How much should each person pay ? (to the nearest 1

©TeeJay Publishers General Homework for Book 3G Ch 3 - Decimals

this is Chapter Three page 12

Exercise 1

1. If stands for 1, what numbers are represented here :–

(a) (b) (c)

2. Draw neat pictures, similar to those above, to show the numbers :–

(a) 0·3 (b) 1·4 (c) 2·6

3.

Given = 1 bar = 0·1 bar and = 0·01 bar,

what numbers are represented by these pictures ?

(a) (b) (c)

4. Use a ruler to draw neat pictures, similar to those above, to show the numbers :–

(a) 0·81 (b) 2·15 (c) 3·53

Exercise 2

1. State what number each of these arrows is pointing to :–

(a) (b)

(c) (d)

7 8 9 12 13

7 8 16 17 18

Decimals HomeworkChapter 3

7·0

7·26·6

6·8

72

74 76

78 17

19 21

23



2. Be careful here. Say what number each of these arrows is pointing to :–

(a) (b)

(c) (d)

3. State what number each of these arrows is pointing to :–

(a) (b)

(c) (d)

Exercise 3

1. Copy and complete these statements :–

(a) 5·238 lies between 5·23 and 5·2... . It is closer to ?.(b) 7·842 lies between 7·84 and ?. It is closer to ?.(c) 3·768 lies between ? and ?. It is closer to ?.(d) 4·483 lies between ? and ?. It is closer to ?.(e) 10·407 lies between ? and ?. It is closer to ?.(f) 0·491 lies between ? and ?. It is closer to ?.(g) 3·756 lies between ? and ?. It is closer to ?.(h) 0·047 lies between ? and ?. It is closer to ?.

2. Round these numbers to 2 decimal places :–

(a) 3·46528 (b) 5·97764 (c) 2·31792

(d) 6·37499 (e) 8·41584 (f) 7·04808

7 8 16 17 18

2·3 2·4 2·5 15·2 15·3 15·4

0·4 0·5 0·6



3. Use your calculator to do these divisions and write down the answers.Then, round your answer to 2 decimal places :–

(a) 60 ÷ 14 (b) 300 ÷ 29 (c) 54·2 ÷ 16·1

4. Change these fractions to decimals and round the answers to 2 decimal places :–

(a)

€

713 = (7 ÷ 13) = 0·538461.... = 0·..... (to 2 decimal places)

(b)

€

511 = (5 ÷ 11) = 0·

(c)

€

1023 = (10 ÷ ...) =

(d)

€

37 =

5. (a) 4 teenagers share the cost of a take-away meal.

The total bill is £28·55.How much should each person pay ? (to the nearest 1 pence)

(b) An amateur gardener bought a tray of 9 bedding plants for £2·20 from his local garden centre.

He tried to work out how much each plant cost.

How much did one plant really cost ?

Exercise 4

1. Set these down and find the answers :–

(a) (b) 28·76 + 5·48 (c) (d) 36·43 – 18·5

2. Do these two subtractions :–

(a) (b) 78·5 – 46·81

3. Calculate the following :–

(a) 15 – 6·35 (b) 9 – 3·94 (c) 61 – 37·29

4. Two sacks contain pineapples. One weighs 17·38 kg and the other weighs 15·87 kg.

(a) What is the TOTAL weight of the 2 sacks ?

19·71+ 6·83

18·73– 6·58

51·8 – 36·95



Exercise 5

1. Copy these and find the answers :–

(a) (b) (c)

(d) (e) (f)

(g) 14·87 x 5 (h) 6·38 x 6 (i) 8 x 1·45

2. (a) A sack of red stone chips weighs 6·85 kilograms.

What will 5 sacks weigh ?

(b) A drum holds 2·38 litres of oil when full.9 full drums of oil spill on to the roadway.

How much oil is on the roadway ?

(c) The distance “round the block” from my house is 112·7 metres.

How far will I have travelled if I walk my dog 7 times round the block ?

Exercise 6 (no calculator)

1. Copy and do the following :–

(a) (b) (c)

(d) 63·75 ÷ 5 (e) 37·04 ÷ 8 (f) 13·58 ÷ 7

2. (a) Share £106·16 equally amongst 4 children.

How much will each receive ?

(b) I cut a piece of string 46·08 centimetres metres long into 6 equal pieces.

What length is each piece ?

continued

3·24 x 6

4·82 x 5

6·07 x 4

7·18 x 3

3·47 x 7

9·08 x 2

2 18·96 3 13·11 6 28·14



(c) 8 identical boxes of cheese weigh 11·68 kg in total.

What is the weight of 1 box ?

(d) 6·16 litres of liquid weedkiller is poured equally over 4 lawns.

How much weedkiller was poured on each lawn ?


1. Copy these down and find the following :–

(a) (b) (c)

(d) (e) (f)

(g) (h) (i)

2. Write down the answers to these :–

(a) 10 x 3·48 (b) 10 x 1·59 (c) 10 x 0·64 (d) 10 x 17·6

(e) 8·27 x 100 (f) 3·578 x 100 (g) 0·007 x 100 (h) 100 x 5·3

3. A can holds 0·95 litres of water.

How many litres are there in :– (a) 10 cans ? (b) 100 cans ?

4. Find the answers to the following :–

(a) 3·687 x 1000 (b) 0·254 x 1000 (c) 25·64 x 1000

5. Which is largest, 0·085 x 1000, 0·85 x 100 or 8·5 x 10 ?

6. Remember :- 1 kilometre = 1000 metres

How many metres are there in :-

(a) 3 kilometres ? (b) 4·7 kilometres ? (c) 0·9 kilometres ?

7·28 x 10

0·95 x 10

14·48 x 10

0·4 x 10

45·9x 100

0·425x 100

13·413 x 100

0·061 x 100

8·7 x 100




1. Copy and find the following :–

(a) (b) (c)

(d) 64·3 ÷ 100 (e) 56·86 ÷ 100 (f) 1·5 ÷ 100

(g)

€

5810

(h)

€

6 ⋅710

(i)

€

0·3810

(j)

€

48·2100

(k)

€

587100

(l)

€

4·9100

2. Find the following :–

(a) (b) (c)

(d) 414·6 ÷ 1000 (e)

€

3301000

(f)

€

135781000

3. (a) If 10 packets of humbugs cost £2·60, what will one packet cost ?

(b) If a box of 100 golf balls costs £65, what will one golf ball cost ?

(c) 100 marshmallows weigh 375 grams. What will one marshmallow weigh ?

4. Change :-

(a) 25 mm to cm (b) 425 cm to m (c) 2140 m to km

10 8·2 10 36·8 10 0·07

1000 578·1 1000 5874 1000 62·5



Exercise 9E

1. 7 cm = (7 x 10) mm = 70 mm. Change from centimetres to millimetres :–

(a) 8 cm (b) 6·9 cm (c) 0·8 cm

2. 600 mm = (600 ÷ 10) cm = 60 cm. Change from millimetres to centimetres :–

(a) 300 mm (b) 37 mm (c) 4 mm

3. 4 m = (4 x 100) cm = 400 cm. Change from metres to centimetres :–

(a) 7 m (b) 3·6 m (c) 0·4 m

4. 9 km = (9 x 1000) m = 9000 m. Change from kilometres to metres :–

(a) 6 km (b) 4·7 km (c) 0·45 km

5. 3000 m = (3000 ÷ 1000) km = 3 km. Change from metres to kilometres :–

(a) 4500 m (b) 600 m (c) 90 m

6. (a) Calculate the perimeter of this field in metres.

(b) Now write down the perimeter in kilometres.

Exercise 10E

1. Change from litres to millilitres :–

(a) 4 litres (b) 2·7 litres (c) 0·06 litres

2. Change from millilitres to litres :–

(a) 4000 ml (b) 800 ml (c) 90 ml

3. Calculate the volume of each box in cubic centimetres and in litres.

(a) (b)

760 m310 m

450 m

620 m

590 m

30 cm

20 cm

25 cm

85 cm

50 cm 30 cm



Exercise 11E

1. Change from grams to kilograms :–

(a) 3000 g (b) 270 g (c) 95 g

2. Change from kilograms to grams :–

(a) 16 kg (b) 0·7 kg (c) 0·065 kg

3. Change from tonnes to kilograms :–

(a) 6 tonnes (b) 2·3 tonnes (c) 0·8 tonnes

4. Change from milligrams to grams :–

(a) 7000 mg (b) 600 mg (c) 225 mg

5. An empty bus weighs 4800 kg.When 10 passengers are seated on the busthe total weight is 5350 kg.

What is the AVERAGE weight of one passenger ?

6. A box of “EAZIEWASH” washing powder contains2·4 kilograms of soap powder.

It is reckoned that an average family wash needs 80 grams of powder.

How many family washes should a housewife be able to do with the box of “EAZIWASH” ?

7. A packet of crisps weighs 36 grams.

A box holds 48 packets of crisps.

The empty box weighs 0·5 kilograms.

A load of 50 boxes of crisps is loaded onto a lorry.

Calculate the total weight of the 50 boxes of packets of crisps,

(a) in grams (b) in kilograms.

WashingPowder

2·4 kg

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Decimals Homework Chapter 3 - Rosshall Academy. (a) 4 teenagers share the cost of a take-away meal. The total bill is £28·55. How much should each person pay ? (to the nearest 1