c h a pte 19chapctaer20e324a5a3aer2 r 9 467a80c

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CHAPTER

9 Multiplying and Dividing Decimals

Worksheet 1 Multiplying DecimalsMultiply. Write the product as a decimal.

The product is 0.6.2 tenths 3 3 5 tenths

So, 0.2 3 3 5 tenths

5 .

6

6

0.6

Example

1. 4 tenths 3 2 5 tenths


5 .



5 .



5 .

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Chapter 9 Lesson 9.1



5 .



5 .

Multiply.

0.2 3 4 5 0.8Example

6. 0.3 3 2 5 7. 0.3 3 4 5

8. 0.4 3 6 5

Multiply.

Example 0.33 3

0.9

9. 0.63 4

10. 0.53 8

11. 0.73 3

12. 0.93 5

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Fill in the blanks.

2 ones 1 50 tenths 5 7 onesExample

13. 4 ones 1 20 tenths 5 ones



Fill in the blanks.

12 tenths 5 ones and tenths1 2Example

16. 24 tenths 5 ones and tenths

17. 37 tenths 5 ones and tenths

18. 101 tenths 5 ones and tenth

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Multiply. Fill in the blanks.

4 tenths 3 3 5 tenths

5 one and tenths

12

1 2

Example


5 ones and tenths


5 ones and tenths


5 ones and tenths


2 ones and 4 tenths 3 2 5 ones and tenths4 8Example

22. 3 ones and 2 tenths 3 4 5 ones and tenths

23. 7 ones and 1 tenth 3 6 5 ones and tenths

24. 6 ones and 3 tenths 3 3 5 ones and tenths

23Reteach 5B

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2.8 3 5 8 tenths 3 5 5 tenths

tenths 5 ones and tenths

2 ones 3 5 5 ones

ones 1 ones 5 ones

So, 2.8 3 5 5 .

Example40

40

4

14.0

4

10

0

14

10

Multiply 4.7 by 3. Fill in the blanks.

25. 4.7 3 3 7 tenths 3 3 5 tenths

tenths 5 ones and tenth

4 ones 3 3 5 ones

ones 1 ones 5 ones

So, 4.7 3 3 5 .


26. 5.6 3 4 6 tenths 3 4 5 tenths


5 ones 3 4 5 ones

ones 1 ones 5 ones

So, 5.6 3 4 5 .

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27. 6.8 3 7 8 tenths 3 7 5 tenths


6 ones 3 7 5 ones

ones 1 ones 5 ones

So, 6.8 3 7 5 .


28. 3.7 3 4 7 tenths 3 4 5 tenths


3 ones 3 4 5 ones

ones 1 ones 5 ones

So, 3.7 3 4 5 .


29. 1.6 3 6 6 tenths 3 6 5 tenths


1 one 3 6 5 ones

ones 1 ones 5 ones

So, 1.6 3 6 5 .

25Reteach 5B

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Multiply.

30. 2.83 8

31. 4.73 7

32. 6.93 2

Multiply. Write the product as a decimal.

3 hundredths 3 2 5 hundredths

So, 0.03 3 2 5 hundredths

5 .

6

6

0.06

Example

33. 3 hundredths 3 3 5 hundredths


5 .



5 .

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Multiply. Write the product as a decimal.

35. 0.02 3 3 5

36. 0.03 3 4 5

37. 0.04 3 4 5

38. 0.01 3 5 5

Fill in the blanks.

23 hundredths 5 tenths hundredths2 3Example

39. 47 hundredths 5 tenths hundredths



Fill in the blanks.

42. 4 hundredths 1 8 hundredths 5 hundredths

5 tenth hundredths

43. 9 hundredths 1 5 hundredths 5 hundredths

5 tenth hundredths

27Reteach 5B

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5 tenth hundredths

15

1

Example

5


5 tenths hundredths


5 tenths hundredths

Multiply.

46. 0.043 3

47. 0.023 9

48. 0.053 3

49. 0.043 5


4 tenths 2 hundredths 3 2 5 tenths 1

tenths hundredths

5 tenths hundredths

8

40

8 4

Example

28

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50. 1 tenth 4 hundredths 3 6 5 tenths 1

tenths hundredths

5 tenths hundredths

51. 2 tenths 3 hundredths 3 7 5 tenths 1

tenths hundredth

5 tenths hundredth

52. 3 tenths 2 hundredths 3 8 5 tenths 1

tenth hundredths

5 tenths hundredths



5 tenths hundredths

So, 0.08 3 3 5 .

Example24

2 4

0.24



5 tenths hundredths

So, 0.05 3 7 5 .

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hundredths 5 tenth hundredths


tenth 1 tenths 5 tenths


So, 0.49 3 2 5 .







So, 0.25 3 3 5 .






tenths 5 one and tenths

So, 0.43 3 4 5 .

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hundredths 5 tenths hundredths


tenths 1 tenths 5 tenths


So, 0.67 3 5 5 .

Multiply.

58. 1.453 3

59. 2.363 4

60. 3.583 6

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Worksheet 2 Multiplying by Tens, Hundreds, or Thousands

Place the decimal point in the correct place in the product.

When you multiply a decimal by 10, move the decimal point 1 decimal place to the right.

Example

4.35 � 10 � 4 3 . 5

1. 1.28 3 10 5 1 2 8 2. 4.75 3 10 5 4 7 5

3. 0.36 3 10 5 3 6 4. 0.92 3 10 5 9 2

5. 3.45 3 10 5 3 4 5 6. 0.81 3 10 5 8 1

7. 6.4 3 10 5 6 4 8. 7.8 3 10 5 7 8

9. 0.7 3 10 5 7 10. 0.9 3 10 5 9

11. 5.3 3 10 5 5 3 12. 0.4 3 10 5 4

13. 0.375 3 10 5 3 7 5 14. 0.284 3 10 5 2 8 4

15. 1.693 3 10 5 1 6 9 3 16. 2.438 3 10 5 2 4 3 8

17. 0.736 3 10 5 7 3 6 18. 8.931 3 10 5 8 9 3 1

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Multiply.

19. 1.39 3 10 5 20. 2.47 3 10 5

21. 0.84 3 10 5 22. 0.94 3 10 5

23. 7.2 3 10 5 24. 6.3 3 10 5

25. 0.8 3 10 5 26. 0.2 3 10 5

27. 0.481 3 10 5 28. 0.179 3 10 5

29. 2.435 3 10 5 30. 6.582 3 10 5

Complete.

31. 0.478 3 5 4.78 32. 0.07 3 5 0.7

33. 0.59 3 5 5.9 34. 0.26 3 5 2.6

35. 3 10 5 12.08 36. 3 10 5 1.03

37. 3 10 5 3.05 38. 3 10 5 245.8

39. 40 5 3 10 40. 70 5 7 3

41. 150 5 3 10 42. 120 5 12 3

43. 8 3 5 80 44. 3 10 5 90

45. 16 3 5 160 46. 3 10 5 170

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Complete.

Example

5 3 40 5 5 3 3 10

5 3 10

5

4

20

200

47. 6 3 70 5 6 3 3 10

5 3 10

5

48. 8 3 120 5 3 3 10

5 3 10

5

49. 11 3 50 5 3 3 10

5 3 10

5

50. 16 3 180 5 3 3 10

5 3 10

5

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Find each product.

Example

0.6 3 80 5 480.6 3 8 5 4.80.6 3 80 5 48

51. 0.7 3 90 5

52. 0.9 3 50 5

53. 0.12 3 40 5

54. 0.13 3 60 5

55. 0.15 3 50 5

56. 0.18 3 30 5

57. 7.258 3 100 5

58. 3.295 3 200 5

59. 0.471 3 300 5

60. 0.0384 3 400 5

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Example

When you multiply a decimal by 100, move the decimal point 2 decimal places to the right.

2.54 � 100 � 2 5 4.

61. 1.375 3 100 5 1 3 7 5

62. 2.679 3 100 5 2 6 7 9

63. 0.472 3 100 5 4 7 2

64. 0.814 3 100 5 8 1 4

65. 5.78 3 100 5 5 7 8

66. 6.93 3 100 5 6 9 3

67. 0.38 3 100 5 3 8

68. 0.91 3 100 5 9 1

69. 6.3792 3 1 ,000 5

70. 4.1835 3 1 ,000 5

71. 0.0384 3 1 ,000 5

72. 0.0172 3 1 ,000 5

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0.213 � 1,000 � 2 1 3.

Example

When you multiply a decimal by 1,000, move the decimal point 3 decimal places to the right.

73. 1.492 3 1,000 5 1 4 9 2

74. 2.679 3 1,000 5 2 6 7 9

75. 0.385 3 1,000 5 3 8 5

76. 0.496 3 1,000 5 4 9 6

77. 4.67 3 1,000 5 4 6 7

78. 5.82 3 1,000 5 5 8 2

79. 0.4 3 1,000 5 4

80. 0.1 3 1,000 5 1

Complete.

81. 0.583 3 5 58.3 82. 0.07 3 5 70

83. 0.481 3 5 48.1 84. 0.032 3 5 32

85. 3 100 5 36.9 86. 3 1,000 5 204

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87. 3 1,000 5 48 88. 3 100 5 91

89. 500 5 3 100 90. 8,000 5 8 3

91. 9,000 5 3 1,000 92. 1,400 5 14 3

93. 7 3 5 700 94. 3 1,000 5 6,000

95. 13 3 5 13,000 96. 3 100 5 2,600

Complete.

Example

4 3 500 5 4 3 3 100

5 3 100

5

5

20

2,000

97. 3 3 8,000 5 3 3 3 1,000

5 3 1,000

5

98. 7 3 1,100 5 3 3 100

5 3 100

5

99. 12 3 6,000 5 3 3 1,000

5 3 1,000

5

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Find each product.

Example

7 3 400 5 2,8007 3 4 5 287 3 400 5 2,800

100. 4 3 8,000 5

101. 6 3 900 5

102. 5 3 6,000 5

103. 8 3 700 5

Find each product.

Example740.37 3 200 5

0.37 3 2 5 0.740.37 3 200 5 74

104. 0.13 3 700 5

105. 1.2 3 8,000 5

106. 1.5 3 600 5

107. 0.17 3 4,000 5

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Complete.

108. 102 5 3

109. 103 5 3 3

Simplify.

110. 10 3 10 3 10 5

111. 10 3 10 5

Find each product.

Example

When you multiply a decimal by 100, move the decimal point 2 decimal places to the right.

2.54 � 100 � 2 5 4.

112. 7.258 3 100 5

113. 3.295 3 100 5

114. 0.471 3 100 5

115. 0.0384 3 100 5

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Find each product.

0.213 � 1,000 � 2 1 3.

Example


116. 3.792 3 1,000 5

117. 1.835 3 1,000 5

118. 0.0384 3 1,000 5

119. 0.0172 3 1,000 5

Find each product.

120. 2.478 3 102 5

121. 0.587 3 102 5

122. 1.3695 3 103 5

123. 0.0478 3 103 5

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Worksheet 3 Dividing Decimals Divide. Fill in the blanks.

Example



4

3














42

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Divide 0.42 by 6. Fill in the blanks.

The quotient is 0.4.

Example

0

. 4

6) 2 . 4

0

2

4

2

4

0


14.

2 4 . 6

Divide the ones by 2.

4 ones 4 2 5 ones

2 4 . 6

.

Divide the tenths by 2.


So, 4.6 4 2 5 .

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15.

3 6 . 9


6 ones 4 3 5 ones

3 6 . 9

.



So, 6.9 4 3 5 .


16.

4 8 . 4

4 8 . 4


8 ones 4 4 5 ones


4 tenths 4 4 5 tenth

So, 8.4 4 4 5 .

.

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Divide.

3 2

6

0 4

4

0

Example

2 6 . 4

.

18.

3 2 . 4

. 19.

6 5 . 4

.

20.

7 0 . 7

. 21.

8 3 . 2

.

17.

3 3 . 9

.

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Regroup. Then divide.

Example

4.29 4 3

4 ones 5 ones and 10 tenths

4 ones and 2 tenths 5 3 ones and 10 tenths 1 2 tenths

5 3 ones and tenths

3 ones and tenths 9 hundredths 4 3

5 one and tenths hundredths

3

12

12

1 4 3

22. 3.68 4 2

3 ones 5 ones and 10 tenths

3 ones and 6 tenths 5 ones and 10 tenths 1 tenths

5 ones and tenths

2 ones and tenths hundredths 4 2


23. 6.54 4 3

5 tenths 5 tenths 20 hundredths

5 tenths 4 hundredths

5 tenths 20 hundredths 1 hundredths

5 tenths hundredths


5 ones and tenth hundredths

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24. 4.64 4 4

6 tenths 5 tenths hundredths


5 tenths hundredths 1 hundredths

5 tenths hundredths


5 one and tenth hundredths

25. 4.95 4 3

4 ones 5 ones and tenths


5 tenths hundredths 1 hundredths

5 tenths hundredths



26. 6.55 4 5

6 ones 5 ones and tenths

6 ones and 5 tenths 5 ones and tenths 1 tenths

5 ones and tenths


5 one and tenths hundredth

47Reteach 5B

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Example

2

4

0

2 4 . 5 6


4 ones 4 2 5 ones2

2 2

5

4

4

0

1

2 4 . 5 6

.Divide the tenths by 2.

5 tenths 4 2 5 tenths R tenth

tenth 5 hundredths

2 1

1 10

Add the hundredths.

hundredths 1 hundredths

5 hundredths

2 4 . 5 6

.2 2

5

4

4

0

1 6

10 6

16

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Divide the hundredths by 2.

hundredths 4 2

5 hundredths

2 2 8

4

0 5

4

1 6

6

0

1

16

8

2.28So, 4.56 4 2 5 .

2 4 . 5 6

.


27.

3 6 . 5 7


6 ones 4 3 5 ones


5 tenths 4 3 5 tenth R tenths

tenths 5 hundredths

3 6 . 5 7

.

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Add the hundredths.


5 hundredths


hundredths 4 3

5 hundredths

So, 6.57 4 3 5 .

3 6 . 5 7

.

3 6 . 5 7

.

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Divide.

28.

4 8 . 7 2

.

29.

6 6 . 4 2

.

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30.

2 5 . 4 8


5 ones 4 2 5 ones R one

2 5 . 4 8

Regroup the remainder one.

one 5 tenths

Add the tenths.

tenths 1 tenths 5 tenths


tenths 4 2 5 tenths2 5 . 4 8

.

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hundredths 4 2

5 hundredths

So, 5.48 4 2 5 .

2 5 . 4 8

.


31. Divide the ones by 3.

6 ones 4 3 5 ones


tenths 4 3 5 tenths R tenth

3 6 . 7 8

3 6 . 7 8

.

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Regroup the remainder tenth.

tenth 5 hundredths

Add the hundredths.


5 hundredths


hundredths 4 3

5 hundredths

So, 6.78 4 3 5 .

3 6 . 7 8

.

3 6 . 7 8

.

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Divide.

32.

4 4 . 7 6

. 33.

3 9 . 8 7

.

34.

2 5 . 3 6

. 35.

3 7 . 5 9

.

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36.

4 9 . 5 2

. 37.

6 8 . 4 6

.

Divide.

38. 0.48 4 2 5 39. 0.36 4 2 5

40. 4.56 4 2 5 41. 1.58 4 2 5

42. 3.76 4 2 5 43. 0.96 4 3 5

44. 0.54 4 3 5 45. 6.93 4 3 5

46. 4.71 4 3 5 47. 5.28 4 3 5

48. 0.56 4 4 5 49. 0.75 4 5 5

50. 5.82 4 6 5 51. 8.61 4 7 5

52. 5.28 4 8 5

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2 4 3 is about .

3 2 .

.

Divide. Round each quotient to the nearest tenth.

Example

5 4 3 is about 1.7.

1 .

6

6

3 ) 5 .

3

2

0

1

8

2

0

1

8

2

0 0

53.

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54.

55.

6 4 7 is about .

7 6 .

.

7 4 6 is about .

6 7 .

.

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Divide. Round each quotient to the nearest hundredth.

56. 5 4 9

57. 8 4 7

58. 11 4 3

59Reteach 5B

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Worksheet 4 Dividing by Tens, Hundreds, or Thousands

Place the decimal point in the correct place in the quotient.

Example

7.26 � 10 � 0.7 2 6 When you divide a number by 10, move the decimal point 1 decimal place to the left.

1. 1.37 4 10 5 1 3 7 2. 3.85 4 10 5 3 8 5

3. 36.2 4 10 5 3 6 2 4. 94.7 4 10 5 9 4 7

5. 645 4 10 5 6 4 5 6. 786 4 10 5 7 8 6

7. 0.9 4 10 5 9 8. 0.4 4 10 5 4

Complete.

9. 2.84 4 10 5 10. 463 4 10 5

11. 0.95 4 10 5 12. 72.6 4 10 5

Complete.

13. 57.8 4 5 5.78 14. 4 4 5 0.4

15. 894 4 5 89.4 16. 0.26 4 5 0.026

17. 4 10 5 3.09 18. 4 10 5 70.4

19. 4 10 5 0.05 20. 4 10 5 0.458

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Complete.

21. 90 4 30 5 (90 4 ) 4 10

22. 140 4 20 5 (140 4 ) 4 10

23. 280 4 40 5 ( 4 4) 4 10

24. 420 4 70 5 ( 4 7) 4 10

Complete.

25. 60 4 20 5 (60 4 ) 4 10

5 4 10

5

26. 120 4 30 5 (120 4 ) 4 10

5 4 10

5

27. 360 4 40 5 ( 4 4) 4 10

5 4 10

5

28. 560 4 80 5 ( 4 8) 4 10

5 4 10

5

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29. 16 4 80 5 ( 4 8) 4 10

5 4 10

5

30. 21 4 70 5 ( 4 7) 4 10

5 4 10

5

31. 0.9 4 30 5 ( 4 3) 4 10

5 4 10

5

32. 0.15 4 50 5 ( 4 5) 4 10

5 4 10

5

Divide.

33. 1.4 4 70 5

34. 8 4 40 5

35. 9 4 30 5

36. 0.75 4 50 5

37. 0.42 4 70 5

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When you divide a number by 100, move the decimal point 2 decimal places to the left.

Example

61.5 � 100 � 0.6 1 5

38. 23.8 4 100 5 2 3 8 39. 47.3 4 100 5 4 7 3

40. 37.5 4 100 5 3 7 5 41. 98.4 4 100 5 9 8 4

42. 5.9 4 100 5 5 9 43. 2.7 4 100 5 2 7


When you divide a number by 1,000, move the decimal point 3 decimal places to the left.

Example

715 � 1,000 � 0.7 1 5

44. 147 4 1,000 5 1 4 7 45. 258 4 1,000 5 2 5 8

46. 69 4 1,000 5 6 9 47. 38 4 1,000 5 3 8

48. 1,234 4 1,000 5 1 2 3 4 49. 6,101 4 1,000 5 6 1 0 1

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Complete.

50. 36.9 4 5 0.369 51. 4 4 5 0.004

52. 78 4 5 0.078 53. 49.6 4 5 0.496

54. 4 100 5 4.08 55. 4 100 5 2.05

56. 4 1,000 5 0.007 57. 4 1,000 5 0.852

Complete.

58. 800 4 200 5 (800 4 ) 4 100

59. 1,500 4 300 5 (1,500 4 ) 4 100

60. 40 4 800 5 ( 4 8) 4 100

61. 6 4 200 5 ( 4 2) 4 100

62. 0.9 4 300 5 ( 4 3) 4 100

63. 600 4 2,000 5 (600 4 ) 4 1,000

64. 1,800 4 3,000 5 (1,800 4 ) 4 1,000

65. 180 4 9,000 5 ( 4 9) 4 1,000

66. 8 4 2,000 5 ( 4 2) 4 1,000

67. 0.8 4 4,000 5 ( 4 4) 4 1,000

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Complete.

68. 40 4 200 5

69. 60 4 3,000 5

70. 320 4 800 5

71. 810 4 9,000 5

72. 12 4 3,000 5

73. 25 4 5,000 5

74. 5 4 100 5

75. 8 4 400 5

76. 0.4 4 200 5

77. 9 4 600 5

78. 6 4 2,000 5

79. 40 4 5,000 5

80. 70 4 1,000 5

81. 600 4 4,000 5

82. 1,400 4 500 5

83. 7,500 4 1,500 5

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Worksheet 5 Estimating DecimalsRound each decimal to the nearest whole number. Fill in the blanks.

Example

1.375 is about .1 3 tenths is tenths.

1.375 1

5less than

1. 12.459 is about . 4 tenths is tenths.

12.459


43.607


28.910

Round each number to the nearest tenth. Fill in the blanks.

5Example

2.483 is about . 8 hundredths is hundredths.

2.483

greater than2.5

2.5

4. 6.341 is about . 4 hundredths is hundredths.

6.341


17.251

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39.908


18.472

Round each number to the nearest hundredth. Fill in the blanks.

Example

1.284 is about . 4 thousandths is thousandths.

1.284

less than 5

1.28

1.28

8. 16.016 is about . 6 thousandths is thousandths.

16.016

9. 24.005 is about . 5 thousandths thousandths.

24.005

10. 45.076 is about . 6 thousandths is thousandths.

45.076

Round each decimal to the nearest whole number. Then estimate the sum.

Example

0.47 1 2.52 is about .3 0.47 ; 2.52

0 1 3 5

0

3

3

11. 1.62 1 3.39 is about . 1.62 ; 3.39

1 5

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12. 4.53 1 0.82 is about . 4.53 ; 0.82

1 5

13. 7.49 1 2.39 is about . 7.49 ; 2.39

1 5

14. 18.57 1 9.98 is about . 18.57 ; 9.98

1 5

15. 4.67 1 0.88 is about . 4.67 ; 0.88

1 5

Round each number to the nearest tenth. Then estimate the sum or difference.

Example

0.51 1 2.48 is about .3 0.51 ; 2.48

1 5

0.5

0.5 2.5 3

2.5

16. 7.39 2 2.91 is about . 7.39 ; 2.91

2 5

17. 0.87 1 1.49 is about .

18. 12.39 2 4.72 is about .

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19. 18.59 2 9.66 is about .

20. 21.85 1 0.75 is about .

Round each decimal to the nearest whole number. Then estimate the product.

Example

2.47 3 4 is about . 2.47

3 4 5

8 2

2 8

21. 3.51 3 7 is about . 3.51

3 5

22. 12.07 3 8 is about .

23. 15.76 3 11 is about .

24. 18.32 3 12 is about .

25. 27.13 3 13 is about .

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Round each decimal to the nearest tenth. Then estimate the product.

Example

3.45 3 4 is about .14

3.5

3.45 3.5

3 4 5 14

26. 4.54 3 6 is about . 4.54

3 5

27. 14.27 3 7 is about .

28. 16.94 3 9 is about .

Round each decimal to the nearest whole number. Then estimate the quotient.

Example

12.49 4 4 is about .3 12.49

4 4 5

12

12 3

29. 31.52 4 8 is about . 31.52

4 5

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30. 71.63 4 9 is about .

31. 62.55 4 7 is about .

Estimate. Round the decimals to the nearest tenth.

Example

12.77 4 4 is about .3.2 12.77

4 4 5

12.8

12.8 3.2

32. 37.24 4 6 is about . 37.24

4 5

33. 21.64 4 8 is about .

34. 51.09 4 7 is about .

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Worksheet 6 Converting Metric UnitsFind each product.

Example

0.6 � 100 � 60.When you multiply a decimal by 100, move the decimal point 2 decimal places to the right.

1. 0.08 3 100 5 2. 0.09 3 100 5

3. 0.015 3 100 5 4. 0.047 3 100 5

5. 7.9 3 100 5 6. 12.34 3 100 5

Convert meters to centimeters.

7. 0.4 m 5 0.4 3

5 cm

8. 7.43 m 5 7.43 3

5 cm

9. 1.585 m 5 3

5 cm

10. 500.75 m 5 3

5 cm

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Convert meters to meters and centimeters.

Example

Express this part as meters.

14 m

14.05 m 5 m cm

Express this part as centimeters.

0.05 m 5 0.05 3 100

5 cm

14.05 m

14

514 5

11. 15.09 m

0.09 m 5 0.09 3

5 cm

15.09 m 5 m cm

12. 224.8 m

0.8 m 5 0.8 3

5 cm

224.8 m 5 m cm

13. 35.09 m 5 m cm

14. 158.6 m 5 m cm

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Find each product.


Example

0.75 � 1,000 � 750.

15. 0.04 3 1,000 5 16. 0.07 3 1,000 5

17. 0.026 3 1,000 5 18. 0.038 3 1,000 5

19. 6.2 3 1,000 5 20. 45.67 3 1,000 5

Convert kilometers to meters.

21. 0.6 km 5 0.6 3 5 m

22. 8.32 km 5 8.32 3 5 m

23. 1.493 km 5 3 5 m

24. 300.92 km 5 3 5 m

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Convert kilograms to grams.

25. 7.04 kg 5 7.04 3 5 g

26. 25.8 kg 5 25.8 3 5 g

27. 9.05 kg 5 9.05 3 5 g

28. 14.2 kg 5 14.2 3 5 g

Convert liters to milliliters.

29. 5.08 L 5 5.08 3

5 mL

30. 14.3 L 5 14.3 3

5 mL

31. 3.07 L 5 3

5 mL

32. 26.4 L 5 3

5 mL

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Convert kilometers to kilometers and meters.

Example

Express this part as kilometers.

28 km

28.75 m 5 km m

Express this part as meters.

0.75 m 5 0.75 3 1,000

5 m

28.75 km

28

28 750 750

33. 46.07 km

0.07 km 5 0.07 3

5 m

46.07 km 5 km m

34. 168.9 km

km 5 3

5 m

168.9 km 5 km m

35. 57.04 km 5 km m

36. 248.5 km 5 km m

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Convert kilograms to kilograms and grams.

Example

4.78 kg

Express this part as kilograms. Express this part as grams.

4 kg kg 0.78 kg 5 0.78 3 1,000

4.78 kg 5 kg g 5 g

4

4 780 780

37. 2.05 kg 38. 12.9 kg

0.05 kg 5 0.05 3 0.9 kg 5 3

5 g 5 g

2.05 kg 5 kg g 12.9 kg 5 kg g

39. 9.03 kg 5 kg g

40. 21.6 kg 5 kg g

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Convert liters to liters and milliliters.

Example

5.67 L

Express this part as liters. Express this part as milliliters.

5 L L 0.67 L 5 0.67 3 1,000

5 mL

5.67 mL 5 L mL

5

5 670

670

41. 8.03 L

0.03 L 5 0.03 3

5 mL

8.03 L 5 L mL

42. 24.7 L

0.7 L 5 3

5 mL

24.7 L 5 L mL

43. 7.01 L 5 L mL

44. 15.8 L 5 L mL

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Convert centimeters to meters.

Example

Convert 17.5 centimeters to meters.

100 cm 5 1 m

17.5 cm 5 17.5 4 100

5 m


0.175

45. 25.4 cm 5 25.4 4

5 m

46. 9.83 cm 5 9.83 4

5 m

47. 32.5 cm 5 32.5 4

5 m

48. 127.6 cm 5 127.6 4

5 m

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Convert meters and centimeters to meters.

Example

48 m 70 cm

100 cm 5 1 m

70 cm 5 70 4 100

5 m

48 m 70 cm 5 m


0.7

48.7

49. 29 m 40 cm

40 cm 5 4

5 m

29 m 40 cm 5 m

50. 15 m 80 cm

80 cm 5 4

5 m

15 m 80 cm 5 m

51. 26 m 90 cm 5 m

52. 145 m 30 cm 5 m

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Convert meters to kilometers.

Example

Convert 7,845 meters to kilometers.

1,000 m 5 1 km

7,845 m 5 7,845 4 1,000

5 km

When you divide a number by 1,000, move the decimal point 3 decimal places to the right.7.845

53. 4,970 m 5 4,970 4

5 km

54. 2,587 m 5 km

55. 12,783 m 5 km

Convert grams to kilograms.

Convert 7,250 grams to kilograms.

1,000 g 5 1 kg

7,250 g 5 7,250 4 1,000

5 kg7.250

Example


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56. 826 g 5 826 4

5 kg

57. 4,458 g 5 kg

58. 997 g 5 kg

Convert milliliters to liters.

Example

Convert 1,275 milliliters to liters.

1,000 mL 5 1 L

1,275 mL 5 1,275 4 1,000

5 L1.275


59. 773 mL 5 773 4

5 L

60. 335 mL 5 L

61. 4,785 mL 5 L

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Convert kilometers and meters to kilometers.

Example

7 km 25 m

1,000 m 5 1 km

25 m 5 25 4 1,000

5 km

7 km 25 m 5 7 km 1 km

5 km

0.025

0.025

7.025


62. 5 km 8 m 8 m 5 8 4

5 km

5 km 8 m 5 5 km 1 km

5 km

63. 32 km 74 m 5 km

64. 66 km 9 m 5 km

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Convert kilograms and grams to kilograms.

470 kg 800 g

800 g 5 800 4 1,000

5 kg

470 kg 800 g 5 470 kg 1 kg

5 kg

0.8

0.8

470.8

Example


65. 75 kg 600 g

600 g 5 600 4

5 kg

75 kg 600 g 5 kg 1 kg

5 kg

66. 66 kg 90 g 5 kg

67. 175 kg 175 g 5 kg

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Convert liters and milliliters to liters.

55 L 450 mL

450 mL 5 450 4 1,000

5 L

55 L 450 mL 5 55 L 1 L

5 L

0.45

Example

0.45

55.45


68. 124 L 900 mL

900 mL 5 900 4

5 L

124 L 900 mL 5 L 1 L

5 L

69. 78 L 45 mL 5 L

70. 255 L 750 mL 5 L

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Solve. Show your work.

71. James planted 2 trees 750 meters apart. He planted 12 trees in total. a. Find the distance between the first and the twelfth tree in meters.

b. Express the distance between them in kilometers.

72. Trader A sells 5 bags of rice. Each bag weighs 45 kilograms 650 grams each. A truck can only carry 3,850 kilograms of goods. What is the maximum number of bags of rice that the truck can carry?

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73. It requires 15 bottles of water to fill 1 container. One bottle contains 800 milliliters of water. Lisa buys 12 containers. Find the total volume of water that the containers carry. Express the answer in liters.

74. Gerald will need 2 meters 50 centimeters of cloth to make a shirt. What is the total length of cloth he needs to buy to make 22 shirts?

Express the answer in meters.

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Worksheet 7 Real-World Problems: DecimalsSolve. Show you work.

1. The length of a cracker is 3.2 centimeters. John places 4 crackers in a row. Estimate the total length of 1 row of crackers.

3.2 cm cm

3 5 cm

The total length is about centimeters.

2. Rose joins 6 pieces of ribbon. Each piece of ribbon is 7.57 centimeters long. Estimate the total length of the 6 pieces of ribbon.

The total length is about centimeters.

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3. Kim has $78.65. She distributes her money equally among her six children. Estimate the amount of money each child gets.

78.65 6 3 5 6 3 5

6 3 5

is nearer to 78.

Since 6 3 5 78, each child gets about $ .

4. Brad has a rope that is 65 meters long. He wants to cut the rope into 4 equal parts. Find the length of each cut part to the nearest meter.

Hint: Think of a number that when multiplied by 4 is close to 65.

65 4 3 5 4 3 5

4 3 5

is nearer to 65.

Since 4 3 5 , the length of each cut part of the rope is

about meters.

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5. Jennifer has $15 with her. She wants to buy the following items to bake a loaf of banana bread: a bag of flour for $2.65, a carton of eggs for $1.89, a bag of nuts for $4.57, and a bunch of bananas for $1.66. Does Jennifer have enough money to buy all four items?

6. The capacity of a pail is 2.17 liters. Ethan fills 9 of these pails with water in order to fill a larger bucket. Find the capacity of the larger bucket. Round your answer to the nearest liter.

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7. Tom drove 15.67 miles from home to Paddle Middle School to get his brother, Alex. They stopped for a lemonade at a café that is 8.92 miles from home. What is the distance between the café and the school? Round your answer to the nearest mile.

8. Shane is training for the National Vertical Marathon. His best time so far is 9.33 minutes. Shane wants to complete the marathon in 7.5 minutes. How much time must Shane shave off his best time to achieve his goal? Round your answer to the nearest minute.

A vertical marathon is a competition where one has to try to run up many flights of stairs (usually in a tall building) and complete it in as short a time as possible.

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