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Worksheets

Decimals: converting fractions to decimals and place value

Total questions: 150

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Change 1531001\frac{53}{100} to a decimal.

a)

1.53

b)

1.503

c)

1.530

d)

1.35

2.

Change 147100\frac{147}{100} to a decimal.

a)

1.47

b)

147.0

c)

0.147

d)

1.407

3.

Write 2751002\frac{75}{100} as a decimal.

a)

2.75

b)

2.075

c)

2.705

d)

2.57

4.

Write 103100\frac{103}{100} as a decimal.

a)

1.03

b)

10.3

c)

0.103

d)

1.30

5.

Write 3161003\frac{16}{100} l as a decimal in liters.

a)

3.16 l

b)

3.106 l

c)

3.160 l

d)

3.61 l

6.

Write 204100\frac{204}{100} km as a decimal in kilometers.

a)

2.04 km

b)

20.4 km

c)

0.204 km

d)

2.40 km

7.

Express 0.02 in hundredths.

a)

2100\frac{2}{100}

b)

20100\frac{20}{100}

c)

200100\frac{200}{100}

d)

1100\frac{1}{100}

8.

Express 0.31 in hundredths.

a)

31100\frac{31}{100}

b)

13100\frac{13}{100}

c)

3100\frac{3}{100}

d)

310100\frac{310}{100}

9.

Express 2.05 in hundredths.

a)

205100\frac{205}{100}

b)

25100\frac{25}{100}

c)

2050100\frac{2050}{100}

d)

105100\frac{105}{100}

10.

Find the missing numbers: In 20.3920.39 , how many tens?

a)

2

b)

20

c)

1

d)

0

11.

Find the missing numbers: In 20.3920.39 , how many ones?

a)

0

b)

2

c)

3

d)

9

12.

Find the missing numbers: In 20.3920.39 , how many tenths?

a)

3

b)

9

c)

30

d)

0

13.

Find the missing numbers: In 20.3920.39 , how many hundredths?

a)

9

b)

3

c)

90

d)

0

14.

Complete the decomposition: 20.39=20+0.3+20.39 = 20 + 0.3 + what value?

a)

0.09

b)

0.9

c)

0.03

d)

0.39

15.

Choose the pair of numerators that correctly completes 20.39=20+10+10020.39 = 20 + \frac{\square}{10} + \frac{\square}{100} .

a)

3 and 9

b)

30 and 9

c)

3 and 90

d)

2 and 39

16.

In 5.18, the digit 1 is in the place.

a)

tenths

b)

ones

c)

hundredths

d)

thousands

17.

In 2.59, the digit 9 stands for.

a)

9 hundredths

b)

9 tenths

c)

0.9

d)

9 ones

18.

In 82.03, the value of the digit 8 is.

a)

80

b)

8

c)

0.8

d)

800

19.

What is the decimal for 51000\frac{5}{1000} ?

a)

0.0050.005

b)

0.050.05

c)

0.50.5

d)

0.00050.0005

20.

What is the decimal for 61000\frac{6}{1000} ?

a)

0.0060.006

b)

0.060.06

c)

0.60.6

d)

0.00060.0006

21.

What is the decimal for 71000\frac{7}{1000} ?

a)

0.0070.007

b)

0.070.07

c)

0.70.7

d)

0.00070.0007

22.

What is the decimal for 8 thousandths?

a)

0.0080.008

b)

0.080.08

c)

0.80.8

d)

0.00080.0008

23.

What is the decimal for 9 thousandths?

a)

0.0090.009

b)

0.090.09

c)

0.90.9

d)

0.00090.0009

24.

Write a decimal for the first tick mark after 0 on the number line that starts at 0 and ends at 0.010.01 , divided into ten equal parts.

a)

0.0010.001

b)

0.010.01

c)

0.00010.0001

d)

0.10.1

25.

Write a decimal for the fifth tick mark on the number line that starts at 0 and ends at 0.010.01 , divided into ten equal parts.

a)

0.0050.005

b)

0.00050.0005

c)

0.050.05

d)

0.50.5

26.

Change 121000\frac{12}{1000} to a decimal.

a)

0.0120.012

b)

0.120.12

c)

0.00120.0012

d)

0.1020.102

27.

Change 1121000\frac{112}{1000} to a decimal.

a)

0.1120.112

b)

1.121.12

c)

0.01120.0112

d)

0.1210.121

28.

Change 21121000\frac{2112}{1000} to a decimal.

a)

2.1122.112

b)

0.21120.2112

c)

21.1221.12

d)

2.1212.121

29.

Change 237210002\frac{372}{1000} to a decimal.

a)

2.372

b)

2.0372

c)

2.327

d)

2.3720

30.

What is the decimal for 381000\frac{38}{1000} g?

a)

0.038 g

b)

0.38 g

c)

0.0038 g

d)

0.308 g

31.

What is the decimal for 2871000\frac{287}{1000} ml?

a)

0.287 ml

b)

2.87 ml

c)

0.027 ml

d)

0.728 ml

32.

What is the decimal for 10011000\frac{1001}{1000} km?

a)

1.001 km

b)

0.101 km

c)

1.01 km

d)

0.1001 km

33.

What is the decimal for 210310002\frac{103}{1000} m?

a)

2.103 m

b)

2.013 m

c)

2.130 m

d)

2.001 m

34.

What is the decimal for 2410002\frac{4}{1000} km?

a)

2.004 km

b)

2.040 km

c)

2.04 km

d)

2.400 km

35.

What is the decimal for 49721000\frac{4972}{1000} m?

a)

4.972 m

b)

49.72 m

c)

0.4972 m

d)

4.927 m

36.

What is the decimal for 471510004\frac{715}{1000} km?

a)

4.715 km

b)

4.751 km

c)

4.075 km

d)

4.705 km

37.

What is the decimal for 2410002\frac{4}{1000} m?

a)

2.004 m

b)

2.040 m

c)

2.04 m

d)

2.400 m

38.

Does 0.07 have the same value as 0.070?

a)

Yes

b)

No

39.

Complete: 8.409 = 8 ones, 4 tenths, 0 hundredths, 9 thousandths = 8 + 0.4 + 0.009 = 8 + __/10 + __/1000. Which pair of numerators correctly completes the blanks?

a)

4 and 9

b)

8 and 409

c)

0 and 9

d)

9 and 4

40.

Find the missing numbers to complete all parts: 7.251 = __ ones __ tenths __ hundredths __ thousandth = 7 + 0.2 + 0.05 + __ = 7 + __/10 + __/100 + __/1000.

a)

7 ones, 2 tenths, 5 hundredths, 1 thousandth; add 0.001; fractions 2/10, 5/100, 1/1000

b)

7 ones, 2 tenths, 1 hundredth, 5 thousandths; add 0.05; fractions 2/10, 1/100, 5/1000

c)

7 ones, 5 tenths, 2 hundredths, 1 thousandth; add 0.21; fractions 5/10, 2/100, 1/1000

d)

7 ones, 1 tenth, 5 hundredths, 2 thousandths; add 0.052; fractions 1/10, 5/100, 2/1000

41.

Complete: 6.656 = 6 + 656/__. Which denominator makes the statement true?

a)

10

b)

100

c)

1000

d)

10000

42.

What is 0.10.1 more than 0.60.6 ?

a)

0.50.5

b)

0.70.7

c)

0.60.6

d)

0.80.8

43.

What is 0.10.1 less than 1.61.6 ?

a)

1.41.4

b)

1.51.5

c)

1.61.6

d)

1.71.7

44.

What is 0.010.01 more than 0.220.22 ?

a)

0.210.21

b)

0.220.22

c)

0.230.23

d)

0.240.24

45.

What is 0.010.01 less than 0.180.18 ?

a)

0.160.16

b)

0.170.17

c)

0.180.18

d)

0.190.19

46.

What is 0.0010.001 more than 0.0120.012 ?

a)

0.0110.011

b)

0.0120.012

c)

0.0130.013

d)

0.0140.014

47.

What is 0.0010.001 less than 0.0270.027 ?

a)

0.0250.025

b)

0.0260.026

c)

0.0270.027

d)

0.0280.028

48.

What number is 0.10.1 more than 1.21.2 ?

a)

1.11.1

b)

1.21.2

c)

1.31.3

d)

1.41.4

49.

What number is 0.10.1 less than 0.90.9 ?

a)

0.70.7

b)

0.80.8

c)

0.90.9

d)

1.01.0

50.

0.20.2 more than 8.78.7 is

a)

8.88.8

b)

8.98.9

c)

9.09.0

d)

8.68.6

51.

0.50.5 less than 4.94.9 is

a)

4.24.2

b)

4.44.4

c)

4.54.5

d)

4.74.7

52.

What number is 0.010.01 more than 0.150.15 ?

a)

0.140.14

b)

0.150.15

c)

0.160.16

d)

0.170.17

53.

What number is 0.010.01 less than 0.290.29 ?

a)

0.270.27

b)

0.280.28

c)

0.290.29

d)

0.300.30

54.

0.020.02 more than 6.246.24 is

a)

6.226.22

b)

6.246.24

c)

6.266.26

d)

6.286.28

55.

0.040.04 less than 7.167.16 is

a)

7.107.10

b)

7.127.12

c)

7.147.14

d)

7.187.18

56.

What number is 0.0010.001 more than 0.2150.215 ?

a)

0.2140.214

b)

0.2150.215

c)

0.2160.216

d)

0.2170.217

57.

What number is 0.0010.001 less than 0.4240.424 ?

a)

0.4220.422

b)

0.4230.423

c)

0.4240.424

d)

0.4250.425

58.

0.0020.002 more than 4.0154.015 is

a)

4.0134.013

b)

4.0154.015

c)

4.0174.017

d)

4.0194.019

59.

0.0050.005 less than 3.1473.147 is

a)

3.1423.142

b)

3.1443.144

c)

3.1463.146

d)

3.1503.150

60.

These decimals are arranged in a pattern: 0.2, 0.4, 0.6, 0.8, 1.0, … Add 0.2 to get the next number. What are the next two decimals?

a)

1.1 and 1.2

b)

1.2 and 1.4

c)

1.1 and 1.3

d)

1.3 and 1.5

61.

These decimals are arranged in a pattern: 1.12, 1.17, 1.22, 1.27, 1.32, … Add 0.05 to get the next number. What are the next two decimals?

a)

1.34 and 1.36

b)

1.35 and 1.40

c)

1.37 and 1.42

d)

1.36 and 1.41

62.

These decimals are arranged in a pattern: 1.464, 1.462, 1.460, 1.458, 1.456, … Subtract 0.002 to get the next number. What are the next two decimals?

a)

1.454 and 1.452

b)

1.455 and 1.453

c)

1.454 and 1.456

d)

1.452 and 1.450

63.

Which is greater? 0.4 or 0.34

a)

0.4

b)

0.34

64.

Arrange 0.62, 0.263, and 0.6 in order. Begin with the smallest.

a)

0.263, 0.6, 0.62

b)

0.6, 0.263, 0.62

c)

0.62, 0.6, 0.263

d)

0.263, 0.62, 0.6

65.

Which is greater? Choose the greater number. Pair: 0.76 and 0.8

a)

0.76

b)

0.8

66.

Which is greater? Choose the greater number. Pair: 0.4 and 0.234

a)

0.4

b)

0.234

67.

Which is greater? Choose the greater number. Pair: 0.012 and 0.12

a)

0.012

b)

0.12

68.

Which is greater? Choose the greater number. Pair: 0.303 and 0.33

a)

0.303

b)

0.33

69.

Arrange the decimals in order. Begin with the smallest. Set a: 0.8, 0.17, 0.315

a)

0.17, 0.315, 0.8

b)

0.315, 0.17, 0.8

c)

0.8, 0.315, 0.17

d)

0.17, 0.8, 0.315

70.

Arrange the decimals in order. Begin with the smallest. Set b: 0.18, 0.2, 0.185

a)

0.18, 0.185, 0.2

b)

0.185, 0.18, 0.2

c)

0.2, 0.185, 0.18

d)

0.18, 0.2, 0.185

71.

Arrange the decimals in order. Begin with the smallest. Set c: 1.004, 0.04, 0.104

a)

0.104, 0.04, 1.004

b)

0.04, 0.104, 1.004

c)

1.004, 0.104, 0.04

d)

0.04, 1.004, 0.104

72.

Arrange the decimals in order. Begin with the smallest. Set d: 0.202, 0.022, 0.22

a)

0.022, 0.202, 0.22

b)

0.202, 0.022, 0.22

c)

0.022, 0.22, 0.202

d)

0.22, 0.202, 0.022

73.

Express 15\frac{1}{5} as a decimal.

a)

0.2

b)

0.5

c)

0.25

d)

0.02

74.

Using the fraction bar and number line shown, what decimal is equal to 15\frac{1}{5} ?

a)

0.2

b)

0.4

c)

0.25

d)

0.1

75.

Express 14\frac{1}{4} as a decimal.

a)

0.25

b)

0.2

c)

0.5

d)

0.75

76.

From the fraction bar and number line, what decimal is equal to 12\frac{1}{2} ?

a)

0.25

b)

0.5

c)

0.75

d)

0.2

77.

From the fraction bar and number line, what decimal is equal to 34\frac{3}{4} ?

a)

0.5

b)

0.25

c)

0.75

d)

0.2

78.

Express 54\frac{5}{4} as a decimal.

a)

1.2

b)

1.25

c)

1.5

d)

0.25

79.

Express 85\frac{8}{5} as a decimal.

a)

1.4

b)

1.6

c)

1.8

d)

0.6

80.

Express 35\frac{3}{5} as a decimal.

a)

0.35

b)

0.6

c)

0.3

d)

0.75

81.

Express 52\frac{5}{2} as a decimal.

a)

2.25

b)

2.5

c)

2.75

d)

2.2

82.

Express 920\frac{9}{20} as a decimal.

a)

0.9

b)

0.45

c)

0.4

d)

0.25

83.

Express 32\frac{3}{2} as a decimal.

a)

1.2

b)

1.25

c)

1.5

d)

1.75

84.

Express 75\frac{7}{5} as a decimal.

a)

1.25

b)

1.3

c)

1.4

d)

1.5

85.

Express 114\frac{11}{4} as a decimal.

a)

2.5

b)

2.75

c)

3.5

d)

3.25

86.

Express 3123\frac{1}{2} as a decimal.

a)

3.2

b)

3.25

c)

3.5

d)

3.75

87.

Express 2352\frac{3}{5} as a decimal.

a)

2.3

b)

2.5

c)

2.6

d)

2.75

88.

Express 9149\frac{1}{4} as a decimal.

a)

9.2

b)

9.25

c)

9.4

d)

9.5

89.

Express 18201\frac{8}{20} as a decimal.

a)

1.08

b)

1.4

c)

1.45

d)

1.8

90.

Express 527505\frac{27}{50} as a decimal.

a)

5.27

b)

5.5

c)

5.54

d)

5.75

91.

Express 0.80.8 as a fraction in its simplest form.

a)

810\frac{8}{10}

b)

45\frac{4}{5}

c)

25\frac{2}{5}

d)

54\frac{5}{4}

92.

Express 2.52.5 as a mixed number in its simplest form.

a)

2142\frac{1}{4}

b)

2122\frac{1}{2}

c)

2252\frac{2}{5}

d)

25102\frac{5}{10}

93.

Express 7.257.25 as a mixed number in its simplest form.

a)

7157\frac{1}{5}

b)

7147\frac{1}{4}

c)

7127\frac{1}{2}

d)

7251007\frac{25}{100}

94.

Express 0.40.4 as a fraction in its simplest form.

a)

25\frac{2}{5}

b)

14\frac{1}{4}

c)

35\frac{3}{5}

d)

410\frac{4}{10}

95.

Express 2.82.8 as a mixed number in its simplest form.

a)

2252\frac{2}{5}

b)

2452\frac{4}{5}

c)

2152\frac{1}{5}

d)

2352\frac{3}{5}

96.

Express 3.753.75 as a mixed number in its simplest form.

a)

3343\frac{3}{4}

b)

3123\frac{1}{2}

c)

3143\frac{1}{4}

d)

3253\frac{2}{5}

97.

Express 0.60.6 as a fraction in its simplest form.

a)

610\frac{6}{10}

b)

35\frac{3}{5}

c)

25\frac{2}{5}

d)

45\frac{4}{5}

98.

Express 5.25.2 as a mixed number in its simplest form.

a)

5155\frac{1}{5}

b)

5255\frac{2}{5}

c)

5145\frac{1}{4}

d)

5125\frac{1}{2}

99.

Express 2.452.45 as a mixed number in its simplest form.

a)

2451002\frac{45}{100}

b)

29202\frac{9}{20}

c)

2142\frac{1}{4}

d)

2452\frac{4}{5}

100.

Express 2.752.75 as a mixed number in its simplest form.

a)

2122\frac{1}{2}

b)

2342\frac{3}{4}

c)

2252\frac{2}{5}

d)

2142\frac{1}{4}

101.

Express 4.354.35 as a mixed number in its simplest form.

a)

47204\frac{7}{20}

b)

4351004\frac{35}{100}

c)

4154\frac{1}{5}

d)

4254\frac{2}{5}

102.

Express 8.728.72 as a mixed number in its simplest form.

a)

818258\frac{18}{25}

b)

8721008\frac{72}{100}

c)

89258\frac{9}{25}

d)

8348\frac{3}{4}

103.

Round off 26.5 to the nearest whole number.

a)

26

b)

27

c)

28

d)

25

104.

Round off 14.68 to the nearest whole number.

a)

14

b)

15

c)

16

d)

13

105.

Round off 39.45 to the nearest whole number.

a)

39

b)

40

c)

38

d)

41

106.

Round off 0.45 to the nearest whole number.

a)

0

b)

1

c)

2

d)

3

107.

Round off 0.7 to the nearest whole number.

a)

0

b)

1

c)

2

d)

3

108.

Round off 4.3 to the nearest whole number.

a)

3

b)

4

c)

5

d)

6

109.

Round off 12.5 to the nearest whole number.

a)

12

b)

13

c)

11

d)

14

110.

Devi's height is 0.83 m. Round off 0.83 to the nearest tenth (1 decimal place).

a)

0.8

b)

0.9

c)

0.7

d)

1.0

111.

Round off 1.75 to the nearest tenth.

a)

1.7

b)

1.8

c)

1.6

d)

1.9

112.

Round off 2.98 to 1 decimal place.

a)

2.9

b)

3.0

c)

2.8

d)

3.1

113.

Round off 0.36 to 1 decimal place.

a)

0.3

b)

0.4

c)

0.5

d)

0.6

114.

Round off 4.32 to 1 decimal place.

a)

4.2

b)

4.3

c)

4.4

d)

4.5

115.

Round off 4.05 to 1 decimal place.

a)

4.0

b)

4.1

c)

4.2

d)

3.9

116.

A sheet of plastic is 0.014 cm thick. Round off 0.014 to the nearest hundredth (2 decimal places).

a)

0.00

b)

0.01

c)

0.02

d)

0.03

117.

Round off 2.345 to the nearest hundredth.

a)

2.34

b)

2.35

c)

2.36

d)

2.33

118.

Round off 5.997 to 2 decimal places.

a)

5.99

b)

6.00

c)

5.98

d)

6.01

119.

Round off 0.516 to 2 decimal places.

a)

0.51

b)

0.52

c)

0.50

d)

0.53

120.

Round off 3.294 to 2 decimal places.

a)

3.29

b)

3.30

c)

3.28

d)

3.31

121.

Round off 8.995 to 2 decimal places.

a)

8.99

b)

9.00

c)

8.98

d)

9.01

122.

Round off 2.029 to the nearest whole number.

a)

2

b)

3

c)

1

d)

4

123.

Round off 2.029 to the nearest tenth.

a)

2.0

b)

2.1

c)

1.9

d)

2.2

124.

Round off 2.029 to the nearest hundredth.

a)

2.02

b)

2.03

c)

2.00

d)

2.04

125.

Round off 5.783 to the nearest whole number.

a)

5

b)

6

c)

7

d)

4

126.

Round off 5.783 to the nearest tenth.

a)

5.7

b)

5.8

c)

5.9

d)

5.6

127.

Round off 5.783 to the nearest hundredth.

a)

5.78

b)

5.79

c)

5.80

d)

5.77

128.

Round off 12.705 to the nearest whole number.

a)

12

b)

13

c)

14

d)

11

129.

Round off 12.705 to 1 decimal place.

a)

12.7

b)

12.8

c)

12.6

d)

12.9

130.

Round off 12.705 to 2 decimal places.

a)

12.70

b)

12.71

c)

12.69

d)

12.72

131.

Round off 25.957 to the nearest whole number.

a)

25

b)

26

c)

24

d)

27

132.

Round off 25.957 to 1 decimal place.

a)

25.9

b)

26.0

c)

25.8

d)

26.1

133.

Round off 25.957 to 2 decimal places.

a)

25.95

b)

25.96

c)

25.97

d)

25.94

134.

Round off 8.6 m to the nearest metre.

a)

9 m

b)

8 m

c)

10 m

d)

7 m

135.

Round off 17.2 cm to the nearest centimetre.

a)

17 cm

b)

18 cm

c)

16 cm

d)

20 cm

136.

Round off 36.5 kg to the nearest kilogram.

a)

37 kg

b)

36 kg

c)

35 kg

d)

38 kg

137.

Round off 45.8 km to the nearest unit of measurement.

a)

46 km

b)

45 km

c)

47 km

d)

44 km

138.

Round off 62.3 kg to the nearest unit of measurement.

a)

62 kg

b)

63 kg

c)

61 kg

d)

60 kg

139.

Round off 70.5 cm to the nearest unit of measurement.

a)

71 cm

b)

70 cm

c)

72 cm

d)

69 cm

140.

Round off 99.7 l to the nearest unit of measurement.

a)

100 l

b)

99 l

c)

98 l

d)

101 l

141.

For the activity, what equipment will you need?

a)

A digital bathroom scale

b)

A measuring tape

c)

A thermometer

d)

A kitchen timer

142.

In your group, find the mass of each member of the group in kilograms to how many decimal places?

a)

1 decimal place

b)

2 decimal places

c)

No decimal places

d)

3 decimal places

143.

According to the activity instructions, where should the readings be recorded?

a)

In a table

b)

On a number line

c)

On sticky notes

d)

In a bar graph

144.

In the activity, round off the mass of each member to which unit?

a)

The nearest kilogram

b)

The nearest gram

c)

The nearest half-kilogram

d)

The nearest tenth of a kilogram

145.

Estimate the value of 6.75+15.456.75 + 15.45 by rounding off the sum to the nearest whole number.

a)

22

b)

21

c)

23

d)

20

146.

Estimate to find the sum of 3.78+5.23.78 + 5.2 by rounding to the nearest whole numbers.

a)

9

b)

8

c)

10

d)

7

147.

Estimate to find the sum of 12.9+3.2612.9 + 3.26 by rounding to the nearest whole numbers.

a)

16

b)

15

c)

17

d)

14

148.

Estimate to find the sum of 14.9+25.2314.9 + 25.23 by rounding to the nearest whole numbers.

a)

40

b)

39

c)

41

d)

38

149.

Estimate the value of 7.135.77.13 - 5.7 by rounding off the numbers to the nearest whole number.

a)

1

b)

2

c)

0

d)

3

150.

Estimate to find the difference 9.870.969.87 - 0.96 by rounding to the nearest whole numbers.

a)

9

b)

10

c)

8

d)

7