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Mathletics Instant

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Student Book - Series H-1

Decimals

0.399 < 0.4

DecimalsStudent Book - Series H

Contents

Author of The Topics and Topic Tests: AS Kalra

Topics

Practice Tests

Topic 1 - Place value __/__/__

Topic 1 - Topic test A __/__/__

Date completed

Topic 2 - Changing fractions to decimals __/__/__

Topic 2 - Topic test B __/__/__

Topic 3 - Changing decimals to fractions __/__/__ Topic 4 - Addition and subtraction of decimals __/__/__ Topic 5 - Multiplication of decimals __/__/__ Topic 6 - Division of decimals __/__/__ Topic 7 - Comparing decimals __/__/__ Topic 8 - Recurring and repeating decimals __/__/__ Topic 9 - Rounding off decimals __/__/__ Topic 10 - Problem solving with decimals __/__/__

DecimalsMathletics Instant Workbooks – Series H Copyright © 3P Learning

1

Decimals


Topic 1: Place valueDecimals

51EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK

page 150ANSWERS

QUESTION 1 Write the following decimal numbers in expanded form.

QUESTION 2 Write the following as decimal numbers.

a five-tenths = b three-hundreths =

c nine and five-hundreths =

d five hundred and sixteen and two-thousandths =

e 5 + 7-tenths + 4-hundreths

QUESTION 3 Write the following in expanded form.

a 2.568 =

b 53.201 =

c 0.537 =

QUESTION 4 Write the following in decimal form.

QUESTION 5 Write the next three terms to complete the following.

a 0.1, 0.2, 0.3, , ,

b 0.24, 0.25, 0.26, , ,

c 0.120, 0.123, 0.126, , ,

QUESTION 6 Complete each sentence.

a 32.85: the 8 in the place means .

b 5.625: the 2 in the place means .

c 3.456: the 3 in the place means .

d 47.69: the 7 in the place means .

UNIT 1: Place value

=+10

15a =×+×+×+×

100

15

10

1814103b

=×+×+×+×+×1000

17

10

12151031006c

-dnuHsder sneT stinU . shtneT

-dnuHshter

-suohTshtdna

a 1 2 . 8

b 5 3 . 1 6

c 1 8 5 . 3 7

d 4 . 8 9 1

e 3 2 7 . 0 0 3

f 5 0 9 . 3 0 6

CHAPTER 5

2

Decimals


Topic 2: Changing fractions to decimalsDecimals

EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 152

page 151ANSWERS

QUESTION 1 Write the following as decimals.

QUESTION 2 Change to a decimal.

QUESTION 3 Change each fraction to a decimal.

UNIT 2: Changing fractions to decimals

=10

9a =

10

5b =

10

3c =

10

4d

=100

5e =

100

2f =

100

19g =

100

21h

=1000

531i =

1000

625j =

1000

891k =

1000

526l

=+10

73a =

100

36b =+

100

515c =

100

28d

=+10

381e =+

100

565f =

10

432g =

10

165h

=10

953i =

10

74j =

100

65k =

10

87l

=10

1a =

4

1b =

5

1c =

2

1d

=100

3e =

5

2f =

5

4g =

5

3h

=20

25e =

50

32f =

100

107g =

50

18h

=5

5a =

5

7b =

5

9c =

100

130d

QUESTION 4 Express as a decimal.

=4

3i =

8

1j =

8

3k =

8

5l

page 150

3

Decimals


Topic 3: Changing decimals to fractionsDecimals

53EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 1

page 151ANSWERS

QUESTION 1 Write the following as fractions in simplest form.

a 0.3 = b 0.7 = c 0.9 = d 0.13 =

e 0.37 = f 0.023 = g 0.157 = h 0.09 =

i 0.4 = j 0.25 = k 0.8 = l 0.5 =

m 0.1 = n 0.2 = o 0.6 = p 0.7 =

q 0.03 = r 0.02 = s 0.09 = t 0.008 =

QUESTION 2 Change the following decimals to mixed numbers in simplest form.

a 1.1 = b 2.7 = c 4.3 = d 7.9 =

e 3.2 = f 4.8 = g 5.12 = h 6.48 =

i 3.02 = j 5.01 = k 8.005 = l 9.6 =

m 12.36 = n 18.54 = o 50.65 = p 83.2 =

QUESTION 3 Change each decimal to a fraction (mixed number) in simplest form.

a 2.17 = b 8.75 = c 0.28 = d 7.5 =

e 0.75 = f 0.64 = g 8.9 = h 0.125 =

i 6.55 = j 0.321 = k 0.83 = l 0.912 =

m 0.025 = n 0.035 = o 0.045 = p 0.055 =

QUESTION 4 Express as a fraction in simplest form.

a 0.29 = b 0.265 = c 0.007 = d 0.0075 =

e 0.05 = f 0.0005 = g 0.075 = h 0.809 =

i 1.2 = j 3.6 = k 4.8 = l 6.12 =

m 5.01 = n 3.02 = o 6.001 = p 8.25 =

UNIT 3: Changing decimals to fractions

4

Decimals


Topic 4: Addition and subtraction of decimalsDecimals


page 151ANSWERS

QUESTION 1 Add the following.

a 2 + 3.5 = b 5 + 8.3 = c 6 + 2.5 = d 3 + 7.2 =

e 1 + 2.9 = f 7 + 8.35 = g 0.1 + 2 = h 0.3 + 5 =

i 0.25 + 9 = j 0.1 + 0.2 = k 0.2 + 0.7 = l 0.8 + 0.1 =

QUESTION 2 Subtract the following.

a 0.8 – 0.2 = b 0.7 – 0.3 = c 0.9 – 0.5 = d 2.8 – 1.4 =

e 5.6 – 3.3 = f 8.7 – 2.5 = g 9.4 – 1.1 = h 8.5 – 0.5 =

i 7.1 – 1.1 = j 0.99 – 0.66 = k 0.88 – 0.44 = l 0.70 – 0.35 =

QUESTION 3 Work out the following.

UNIT 4: Addition and subtraction of decimals

3.69.88 +b

5.198.63 +a

5.67.29 +c

13.56907.3 +e

4.257.79 −f

26.5136.638 −g

79.2218.5635 −h

593.2675.15 −i

89.9365.935 −j

57.32630.569 −k

687.323596.867 −l

57.10935.156 +d

QUESTION 4 Add the following.

631.59347.18836.5 +d

3.15678.1875.4 +a

376.8481.1263.7 +b

0.8863.549.0 +c

5

Decimals


Topic 5: Multiplication of decimalsDecimals


page 151ANSWERS

UNIT 5: Multiplication of decimals

QUESTION 1 Multiply the following.

a 0.3 × 7 = b 0.5 × 3 = c 0.8 × 9 =

d 0.06 × 5 = e 0.01 × 8 = f 0.12 × 5 =

g 1.2 × 4 = h 0.04 × 3 = i 1.1 × 9 =

j 0.02 × 2 = k 0.008 × 7 = l 0.007 × 5 =

m 0.06 × 5 = n 0.02 × 6 = o 1.7 × 8 =

QUESTION 2 Work out the following.

a 0.5 × 10 = b 0.41 × 10 = c 0.64 × 100 =

d 8.1 × 10 = e 3.6 × 10 = f 7.2 × 10 =

g 19.6 × 100 = h 121.64 × 100 = i 28.7 × 100 =

j 86.5 × 10 = k 4.93 × 100 = l 6.4 × 10 =

m 0.008 × 1000 = n 9.35 × 1000 = o 7.5 × 100 =

QUESTION 3 Calculate the following.

a 0.4 × 20 = b 0.6 × 60 = c 0.8 × 80 =

d 0.7 × 50 = e 0.73 × 200 = f 0.58 × 300 =

g 7.63 × 2000 = h 8.92 × 30 = i 12.5 × 40 =

j 19.6 × 90 = k 8.65 × 120 = l 36.75 × 70 =

m 1.125 × 5000 = n 7.29 × 300 = o 8.13 × 600 =

QUESTION 4 Find the product of the following decimals.

a 0.6 × 0.4 = b 0.5 × 0.7 = c 0.3 × 0.8 =

d 0.2 × 0.05 = e 0.5 × 0.21 = f 1.003 × 1.2 =

g 6.08 × 0.2 = h 7.25 × 0.02 = i 0.03 × 0.02 =

j 0.7 × 0.9 = k 5.01 × 0.4 = l 8.012 × 0.3 =

m 6.18 × 0.5 = n 138.7 × 0.05 = o 4.68 × 0.7 =

6

Decimals


Topic 6: Division of decimalsDecimals


page 151ANSWERS

QUESTION 1 Work out the following divisions.

a 2.4 ÷ 2 = b 5.4 ÷ 2 = c 7 ÷ 4 =

d 6.25 ÷ 5 = e 8.4 ÷ 3 = f 9.6 ÷ 6 =

g 8.56 ÷ 4 = h 10.8 ÷ 9 = i 13 ÷ 2 =

j 57 ÷ 4 = k 0.954 ÷ 6 = l 43.4 ÷ 7 =

m 69 ÷ 5 = n 7.29 ÷ 3 = o 120.6 ÷ 6 =

QUESTION 2 Calculate the following divisions.

a 52 ÷ 10 = b 88.7 ÷ 10 = c 935.17 ÷ 10 =

d 73.9 ÷ 100 = e 68.5 ÷ 100 = f 55.7 ÷ 1000 =

g 33.8 ÷ 10 = h 99.5 ÷ 1000 = i 88.17 ÷ 100 =

j 46.9 ÷ 10 = k 67.8 ÷ 10 = l 91.35 ÷ 100 =

m 35.6 ÷ 100 = n 53.6 ÷ 100 = o 63.81 ÷ 10 =

QUESTION 3 Evaluate the following divisions.

a 6.5 ÷ 50 = b 48.4 ÷ 400 = c 7.2 ÷ 30 =

d 64.4 ÷ 400 = e 250.5 ÷ 5000 = f 81.9 ÷ 300 =

g 144.12 ÷ 600 = h 56.7 ÷ 3000 = i 665.5 ÷ 1100 =

j 836.8 ÷ 4000 = k 512.66 ÷ 200 = l 8.45 ÷ 50 =

m 6597 ÷ 900 = n 450 ÷ 50 = o 6879 ÷ 300 =

QUESTION 4 Calculate the following divisions.

a 8.64 ÷ 0.04 = b 3.2 ÷ 0.04 = c 8.95 ÷ 0.5 =

d 1.242 ÷ 0.3 = e 0.96 ÷ 1.2 = f 8.96 ÷ 0.4 =

g 20 ÷ 0.2 = h 25 ÷ 1.2 = i 66.88 ÷ 1.1 =

j 2.4 ÷ 0.5 = k 90.3 ÷ 0.7 = l 54.9 ÷ 0.9 =

m 1.72 ÷ 0.8 = n 0.025 ÷ 0.04 = o 121.55 ÷ 0.05 =

UNIT 6: Division of decimals

7

Decimals


Topic 7: Comparing decimalsDecimals


page 151ANSWERS

QUESTION 1 Which is greater?

a 0.5 or 0.28 b 0.236 or 0.24 c 0.8 or 0.084

d 4.2 or 0.42 e 0.132 or 0.123 f 0.862 or 0.682

QUESTION 2 Which is smaller?

a 0.2 or 0.21 b 0.8 or 0.699 c 3.2 or 3.19

d 0.80 or 0.08 e 0.0065 or 0.007 f 3.56 or 3.056

QUESTION 3 Arrange the following numbers in ascending order (smallest first).

a 0.303, 0.33, 0.3, 0.03

b 7.07, 0.707, 0.700, 0.007

c 1.2, 1.02, 1.22, 1.002

d 8.6, 86, 0.86, 0.086

e 8.08, 808, 80.88, 808.8

QUESTION 4 Arrange the following numbers in descending order (largest first).

a 5.35, 0.535, 53.5, 5.05, 3.55

b 0.7, 7.7, 7.07, 0.007, 7.007

c 1.5, 1.05, 1.005, 5.01, 5.001

d 7.53, 7.053, 5.73, 57.3, 75.3

e 2.12, 2.112, 21.12, 211.2, 0.2112

QUESTION 5 Which of the following statements are True or False?

a 0.15 < 0.3 b 0.80 > 0.8

c 2.7 < 0.27 d 0.4 = .4

e 0.399 < 0.4 f 0.0001 > 0.002

QUESTION 6 Complete the following, using <, = or >.

a 0.1 0.13 b 0.202 0.002

c 32.36 32.63 d 4.45 4.54

e 3.2 3.20 f 5.608 5.605

g 0.99 0.099 h 5.30 5.300

UNIT 7: Comparing decimals

8

Decimals


Topic 8: Recurring and repeating decimalsDecimals


page 151ANSWERS

UNIT 8: Recurring and repeating decimals

QUESTION 1 Which of the following are recurring or terminating decimals?

a 0.125 b 0.3333 … c 0.8

d e 3.18 f 0.454545 …

g 0.3888 … h 0.614 i 0.58333 …

QUESTION 2 Write the following recurring decimals in the shorter way.

a 0.3333 … = b 0.6666 … = c 0.8333 … =

d 0.1111 … = e 0.313131 … = f 0.7777 … =

g 0.272727 … = h 0.62222 … = i 0.8888 … =

QUESTION 3 Which of the following are recurring decimals?

QUESTION 4 Write the following as recurring decimals.

5

4 a

3

1 b

8

14 c

100

9 d

18

7 e

7

3 f

=3

1 a

QUESTION 5 Write as recurring decimals.

7

4 g

3

2 h

9

4 i

=3

2 b =

6

5 c

=33

4 d =

11

7 e =

11

2 f

=37

21 a

=22

3 d

=27

5 g =

15

4 h =

42

7 i

=44

8 e =

11

5 f

=11

3 b =

9

6 c

.

7.0

9

Decimals


Topic 9: Rounding off decimalsDecimals


page 151ANSWERS

QUESTION 1 Express the following decimals correct to two decimal places.

a 3.647 = b 8.561 = c 19.3481 =

d 22.653 = e 98.128 = f 63.2512 =

g 19.636 = h 35.342 = i 69.123 =

j 18.0156 = k 43.109 = l 72.5791 =

m 52.6732 = n 47.0125 = o 61.3476 =

QUESTION 2 Round off the following decimals correct to one decimal place.

a 12.367 = b 7.8346 = c 19.259 =

d 27.816 = e 31.625 = f 39.561 =

g 47.809 = h 62.354 = i 56.173 =

j 81.639 = k 74.358 = l 87.139 =

m 42.4156 = n 81.349 = o 72.391 =

QUESTION 3 Write the following decimals to the nearest tenth.

a 15.637 = b 26.318 = c 63.288 =

d 19.687 = e 58.654 = f 51.683 =

g 38.719 = h 69.817 = i 73.562 =

j 46.123 = k 29.625 = l 83.691 =

m 79.54 = n 87.657 = o 94.127 =

QUESTION 4 Round off the following decimals to the number of decimal places shown in the brackets.

a 2.3691 [2] = b 24.8725 [3] = c 39.1587 [2] =

d 51.6103 [3] = e 9.615 [2] = f 59.00128 [4] =

g 18.8913 [1] = h 66.51038 [4] = i 29.639 [2] =

j 45.1234 [2] = k 35.6831 [2] = l 72.00128 [4] =

m 79.3018 [3] = n 87.13013 [3] = o 92.6105 [2] =

UNIT 9: Rounding off decimals

10

Decimals


Topic 10: Problem solving with fractionsDecimals


page 151ANSWERS

1 Find the sum of 36.5 cm, 5.7 cm and 21.8 cm.

2 Add 21.38, 35.6 and 9.17

3 A rectangle is 4.63 cm long and 2.84 cm wide. Find its perimeter.

4 A room is 5.2 metres long and 4.1 metres wide. Find its area.

5 Find the cost of 45 books at $24.95 each.

6 Find the total length of 80 blocks of wood that are each 3.65 metres long.

7 A car travels 125.25 km each day. What distance does it travel in 100 days?

8 What is the difference between 8.29 and 5.7?

9 To the sum of 4.2 and 3.54, add the product of 0.7 and 1.2

10 Three boxes weigh 2.5 kg, 3.43 kg and 5.2 kg. What is the total weight?

11 Find the cost of 2000 bricks if each brick costs 35 cents.

12 Find the total cost of three cakes at $1.20 each and five ice creams at $4.35 each.

13 Nisha buys six rulers at 90 cents each. How much change would she receive from $10?

14 Kabir earns $15.60 an hour. How much does he earn if he works for 3 hours?

15 A piece of material 32.8 metres long is cut into four equal parts. How long is each part?

UNIT 10: Problem solving with decimals

11DecimalsMathletics Instant Workbooks – Series H Copyright © 3P Learning

1

1

1

1

1

1

1

1

1

1

1

1

page 151DecimalsUNIT 11: TOPIC TEST PART AInstructions • This part consists of 12 multiple-choice questions

• Each question is worth 2 marks

• Fill in only ONE CIRCLE for each question

• Calculators are NOT allowed

Time allowed: 15 minutes Total marks = 12

Total marks achieved for PART A 12

Marks

EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 1 61

1

1

1

1

1

1

1

1

1

1

1

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

1

578 5.78 57.8 0.578

2 1.1 + 2.2 + 4.4 equals7.7 7.07 7.77 7.007

3 6.8 – 3.82 equals

29.8 2.98 0.298 298

4 3 + 3.3 equals6.66 6.6 6.3 3.6

5 9 – 0.0001 equals8.99 8.9999 8.009 8.991

6 0.4 × 0.07 equals28 0.28 0.028 2.8

7 Which of the following numbers is the smallest?0.067 0.08 0.1 0.154

8 10.8 ÷ 2 equals0.54 0.054 5.4 54

9 820.5 ÷ 5 equals16.41 1.641 0.1641 164.1

10 0.02 × 0.02 equals0.004 0.0004 0.04 0.4

11 3.6 + 5 + 0.25 equals

0.885 8.85 88.5 885

12 9.9 – 0.09 equals0.981 98.1 9.81 9.99

equals 100

8

10

75 ++

1

DecimalsUnit Test PART A

Total marks achieved for PART A 12

Marks

Instructions This part consists of 12 multiple-choice questions Each question is worth 1 mark Fill in only ONE CIRCLE for each question Calculators are NOT allowed


Total marks achieved for PART B 15

Marks

DecimalsUnit Test PART B

12DecimalsMathletics Instant Workbooks – Series H Copyright © 3P Learning

Instructions This part consists of 15 questions Each question is worth 1 mark Write answers in the answers-only columnTime allowed: 20 minutes Total marks = 15

Questions Answers only

Instructions • This part consists of 15 questions

• Each question is worth 2 marks

• Write answers in the answers-only column


Questions Answers only

Total marks achieved for PART B 30

Marks

DecimalsUNIT 11: TOPIC TEST PART B

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

1 Express as a decimal 100

5

10

9 +

2 Write the value of 6 in 3.562

3 Express 1000

2 as a decimal.

4 Change 10

364 to a decimal.

5 Write 0.39 as a fraction.

6 Express 3.5 as a fraction in its simplest form.

7 Find the sum of 4.9 + 3.008

8 Find the answer to 5.2 – 3.05

9 Multiply 0.3 × 1.2

10 Find 6.38 × 100

11 Insert the correct sign (<, =, >): 0.2 _____ 0.12

12 Arrange in ascending order (smallest first).3.01, 3.1, 3.001

13 Write 3

2 as a recurring decimal.

14 Round off 8.7153 to two decimal places.

15 John earns $20.80 an hour. How much does he earn in

2

13 hours?


1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

decimals - the edge academy · decimals excel essential skills: year 7 mathematics revision and...

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