72
19 Reteach 5B Name:   Date:    © Marshall Cavendish International (Singapore) Private Limited. C H A P T E R 9 Multiplying and Dividing Decimals Worksheet 1  Multiplying Decimals Multiply. 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 So, 0.4 3 2 5 tenths 5 . 2.  3 tenths 3 3 5 tenths So, 0.3 3 3 5 tenths 5 . 3.  8 tenths 3 5 5 tenths So, 0.8 3 5 5 tenths 5 .

C H A PTE 19CHAPCTAER20E324A5A3AER2 R 9 467A80C...22 Name: Date: 19CHAPTHEE9RH20345PT96370A3H7583HE953H8A09A52H7095570499 Chapter 9 Lesson 9.1Multiply. Fill in the blanks. 4 tenths

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  • 19Reteach 5B

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    CHAPTER

    9 Multiplying and Dividing DecimalsWorksheet 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

      So, 0.4 3 2 5 tenths

      5 .

    2.  3 tenths 3 3 5 tenths

      So, 0.3 3 3 5 tenths

      5 .

    3.  8 tenths 3 5 5 tenths

      So, 0.8 3 5 5 tenths

      5 .

  • 20

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    Chapter 9  Lesson 9.1

    4.  4 tenths 3 4 5 tenths

      So, 0.4 3 4 5 tenths

      5 .

    5.  6 tenths 3 7 5 tenths

      So, 0.6 3 7 5 tenths

      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 

  • 21Reteach 5B

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    Fill in the blanks.

    2 ones 1 50 tenths 5 7 onesExample

    13.  4 ones 1 20 tenths 5 ones

    14.  6 ones 1 30 tenths 5 ones

    15.  9 ones 1 40 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

  • 22

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    Chapter 9  Lesson 9.1

    Multiply. Fill in the blanks.

    4 tenths 3 3 5 tenths

    5 one and tenths

    12

    1 2

    Example

    19.  6 tenths 3 4 5 tenths

      5 ones and tenths

    20.  5 tenths 3 7 5 tenths

      5 ones and tenths

    21.  8 tenths 3 6 5 tenths

      5 ones and tenths

    Multiply. Fill in the blanks.

    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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    Multiply. Fill in the blanks.

    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 .

    Multiply 5.6 by 4. Fill in the blanks.

    26.  5.6 3 4 6 tenths 3 4 5 tenths

      tenths 5 ones and tenths

      5 ones 3 4 5 ones

      ones 1 ones 5 ones

      So, 5.6 3 4 5 .

  • 24

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    Chapter 9  Lesson 9.1

    Multiply 6.8 by 7. Fill in the blanks.

    27.  6.8 3 7 8 tenths 3 7 5 tenths

      tenths 5 ones and tenths

      6 ones 3 7 5 ones

      ones 1 ones 5 ones

      So, 6.8 3 7 5 .

    Multiply 3.7 by 4. Fill in the blanks.

    28.  3.7 3 4 7 tenths 3 4 5 tenths

      tenths 5 ones and tenths

      3 ones 3 4 5 ones

      ones 1 ones 5 ones

      So, 3.7 3 4 5 .

    Multiply 1.6 by 6. Fill in the blanks.

    29.  1.6 3 6 6 tenths 3 6 5 tenths

      tenths 5 ones and 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

      So, 0.03 3 3 5 hundredths

      5 .

    34.  2 hundredths 3 4 5 hundredths

      So, 0.02 3 4 5 hundredths

      5 .

  • 26

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    Chapter 9  Lesson 9.1

    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

    40.  80 hundredths 5 tenths hundredths

    41.  59 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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    Multiply. Fill in the blanks. 

    5 hundredths 3 3 5 hundredths

    5 tenth hundredths

    15

    1

    Example

    5

    44.  4 hundredths 3 7 5 hundredths

      5 tenths hundredths

    45.  6 hundredths 3 8 5 hundredths

      5 tenths hundredths

    Multiply.

    46.  0.043 3

    47. 0.023 9

    48.  0.053 3

    49. 0.043 5

    Multiply. Fill in the blanks. 

    4 tenths 2 hundredths 3 2 5 tenths 1

    tenths hundredths

    5 tenths hundredths

    8

    40

    8 4

    Example

  • 28

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    Chapter 9  Lesson 9.1

    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

    Multiply. Fill in the blanks.

    8 hundredths 3 3 5 hundredths

    5 tenths hundredths

    So, 0.08 3 3 5 .

    Example24

    2 4

    0.24

    Multiply 0.05 by 7. Fill in the blanks.

    53.  5 hundredths 3 7 5 hundredths

      5 tenths hundredths

      So, 0.05 3 7 5 .

  • 29Reteach 5B

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    Multiply 0.49 by 2. Fill in the blanks.

    54.  9 hundredths 3 2 5 hundredths

      hundredths 5 tenth hundredths

      4 tenths 3 2 5 tenths

      tenth 1 tenths 5 tenths

      tenths 5 ones and tenths

      So, 0.49 3 2 5 .

    Multiply 0.25 by 3. Fill in the blanks. 

    55.  5 hundredths 3 3 5 hundredths

      hundredths 5 tenth hundredths

      2 tenths 3 3 5 tenths

      tenth 1 tenths 5 tenths

      tenths 5 ones and tenths

      So, 0.25 3 3 5 .

    Multiply 0.43 by 4. Fill in the blanks.

    56.  3 hundredths 3 4 5 hundredths

      hundredths 5 tenth hundredths

      4 tenths 3 4 5 tenths

      tenth 1 tenths 5 tenths

      tenths 5 one and tenths

      So, 0.43 3 4 5 .

  • 30

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    Chapter 9  Lesson 9.1

    Multiply 0.67 by 5. Fill in the blanks.

    57.  7 hundredths 3 5 5 hundredths

      hundredths 5 tenths hundredths

      6 tenths 3 5 5 tenths

      tenths 1 tenths 5 tenths

      tenths 5 ones and tenths

      So, 0.67 3 5 5 .

    Multiply.

    58.  1.453 3

    59.  2.363 4

    60.  3.583 6

  • 31Reteach 5B

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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

  • 32

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    Chapter 9  Lesson 9.2

    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

  • 33Reteach 5B

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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

  • 34

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    Chapter 9  Lesson 9.2

    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

  • 35Reteach 5B

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    Place the decimal point in the correct place in the 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.

    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

  • 36

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    Chapter 9  Lesson 9.2

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

    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

  • 37Reteach 5B

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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

  • 38

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    Chapter 9  Lesson 9.2

    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

  • 39Reteach 5B

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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

  • 40

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    Chapter 9  Lesson 9.2

    Find each product.

    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.

    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

  • 41Reteach 5B

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    Worksheet 3  Dividing Decimals Divide. Fill in the blanks.

    Example

    8 tenths 4 2 5 tenths

    6 hundredths 4 2 5 hundredths

    4

    3

    1.  9 tenths 4 3 5 tenths

    2.  12 hundredths 4 4 5 hundredths

    3.  25 hundredths 4 5 5 hundredths

    4.  16 tenths 4 4 5 tenths

    5.  28 hundredths 4 7 5 hundredths

    6.  48 hundredths 4 6 5 hundredths

    7.  64 hundredths 4 8 5 hundredths

    8.  92 hundredths 4 4 5 hundredths

    9.  15 tenths 4 3 5 tenths

    10.  24 tenths 4 6 5 tenths

    11.  56 hundredths 4 8 5 hundredths

    12.  70 hundredths 4 5 5 hundredths

    13.  81 hundredths 4 9 5 hundredths

  • 42

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    Chapter 9  Lesson 9.3

    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

    Divide 4.6 by 2. Fill in the blanks.

    14.  

    2 4 . 6

    Divide the ones by 2.

    4 ones 4 2 5 ones

    2 4 . 6

    .

    Divide the tenths by 2.

    6 tenths 4 2 5 tenths

    So, 4.6 4 2 5 .

  • 43Reteach 5B

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    Divide 6.9 by 3. Fill in the blanks.

    15. 

    3 6 . 9

    Divide the ones by 3.

    6 ones 4 3 5 ones  

    3 6 . 9

    .

    Divide the tenths by 3.

    9 tenths 4 3 5 tenths

    So, 6.9 4 3 5 .

    Divide 8.4 by 4. Fill in the blanks.

    16. 

    4 8 . 4

    4 8 . 4

    Divide the ones by 4.

    8 ones 4 4 5 ones

    Divide the tenths by 4.

    4 tenths 4 4 5 tenth

    So, 8.4 4 4 5 .

    .

  • 44

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    Chapter 9  Lesson 9.3

    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

    .

  • 45Reteach 5B

    Name:     Date:   ©

    Mar

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    sh In

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    Sing

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    e) P

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    d.

    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

    5 one and tenths hundredths

    23.  6.54 4 3

      5 tenths 5 tenths 20 hundredths

      5 tenths 4 hundredths

    5 tenths 20 hundredths 1 hundredths

    5 tenths hundredths

      6 ones and tenths hundredths 4 3

    5 ones and tenth hundredths

  • 46

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    Chapter 9  Lesson 9.3

    24.  4.64 4 4

      6 tenths 5 tenths hundredths

      6 tenths 4 hundredths

    5 tenths hundredths 1 hundredths

    5 tenths hundredths

      4 ones and tenths hundredths 4 4

    5 one and tenth hundredths

    25.  4.95 4 3

      4 ones 5 ones and tenths

      9 tenths 5 hundredths

    5 tenths hundredths 1 hundredths

    5 tenths hundredths

      3 ones and tenths hundredths 4 3

    5 one and 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 ones and tenths hundredths 4 5

    5 one and tenths hundredth

  • 47Reteach 5B

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    d.

    Divide 4.56 by 2. Fill in the blanks.

    Example

    2

    4

    0

    2 4 . 5 6

    Divide the ones by 2.

    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

  • 48

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    Chapter 9  Lesson 9.3

    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

    .

    Divide 6.57 by 3. Fill in the blanks.

    27. 

    3 6 . 5 7

    Divide the ones by 3.

    6 ones 4 3 5 ones

    Divide the tenths by 3.

    5 tenths 4 3 5 tenth R tenths

    tenths 5 hundredths

    3 6 . 5 7

    .

  • 49Reteach 5B

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    Sing

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    rivat

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    d.

    Add the hundredths.

    hundredths 1 hundredths

    5 hundredths

    Divide the hundredths by 3.

    hundredths 4 3

    5 hundredths

    So, 6.57 4 3 5 .

    3 6 . 5 7

    .

    3 6 . 5 7

    .

  • 50

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    Chapter 9  Lesson 9.3

    Divide.

    28. 

    4 8 . 7 2

    .

    29. 

    6 6 . 4 2

    .

  • 51Reteach 5B

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    d.

    Divide 5.48 by 2. Fill in the blanks.

    30. 

    2 5 . 4 8

    Divide the ones by 2.

    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

    Divide the tenths by 2.

    tenths 4 2 5 tenths2 5 . 4 8

    .

  • 52

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    Chapter 9  Lesson 9.3

    Divide the hundredths by 2.

    hundredths 4 2

    5 hundredths

    So, 5.48 4 2 5 .

    2 5 . 4 8

    .

    Divide 6.78 by 3. Fill in the blanks.

    31.  Divide the ones by 3.

    6 ones 4 3 5 ones

    Divide the tenths by 3.

    tenths 4 3 5 tenths R tenth

    3 6 . 7 8

    3 6 . 7 8

    .

  • 53Reteach 5B

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    Mar

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    Sing

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    e) P

    rivat

    e Li

    mite

    d.

    Regroup the remainder tenth.

    tenth 5 hundredths

    Add the hundredths.

    hundredths 1 hundredths

    5 hundredths

    Divide the hundredths by 3.

    hundredths 4 3

    5 hundredths

    So, 6.78 4 3 5 .

    3 6 . 7 8

    .

    3 6 . 7 8

    .

  • 54

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    Chapter 9  Lesson 9.3

    Divide. 

    32. 

    4 4 . 7 6

    . 33.

    3 9 . 8 7

    .

    34. 

    2 5 . 3 6

    . 35.

    3 7 . 5 9

    .

  • 55Reteach 5B

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    d.

    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

  • 56

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    Chapter 9  Lesson 9.3

    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. 

  • 57Reteach 5B

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    d.

    54. 

    55. 

    6 4 7 is about .

    7 6 .

    .

    7 4 6 is about .

    6 7 .

    .

  • 58

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    Chapter 9  Lesson 9.3

    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

  • 60

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    Chapter 9  Lesson 9.4

    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

  • 61Reteach 5B

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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

  • 62

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    Chapter 9  Lesson 9.4

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

    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

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

    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

  • 63Reteach 5B

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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

  • 64

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    Chapter 9  Lesson 9.4

    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

  • 65Reteach 5B

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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

    2.  43.607 is about . 6 tenths is tenths.

      43.607

    3.  28.910 is about . 9 tenths is tenths.

      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

    5.  17.251 is about . 5 hundredths is hundredths.

       17.251

  • 66

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    Chapter 9  Lesson 9.5

    6.  39.908 is about . 0 hundredths is hundredths.

      39.908

    7.  18.472 is about . 7 hundredths is hundredths.

       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

  • 67Reteach 5B

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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 .

  • 68

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    Chapter 9  Lesson 9.5

    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 .

  • 69Reteach 5B

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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

  • 70

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    Chapter 9  Lesson 9.5

    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

  • 72

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    Chapter 9  Lesson 9.6

    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

  • 73Reteach 5B

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    Find each product.

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

    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

  • 74

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    Chapter 9  Lesson 9.6

    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

  • 76

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    Chapter 9  Lesson 9.6

    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

  • 77Reteach 5B

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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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    Chapter 9  Lesson 9.6

    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

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

    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

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

    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

  • 80

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    Chapter 9  Lesson 9.6

    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

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

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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

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

    59. 773 mL 5 773 4

    5 L

    60. 335 mL 5 L

    61. 4,785 mL 5 L

  • 82

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    Chapter 9  Lesson 9.6

    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

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

    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

  • 83Reteach 5B

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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

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

    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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    Chapter 9  Lesson 9.6

    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

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

    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

  • 85Reteach 5B

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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?

  • 86

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    Chapter 9  Lesson 9.6

    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.

  • 87Reteach 5B

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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.

  • 88

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    Chapter 9  Lesson 9.7

    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.

  • 90

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    Chapter 9  Lesson 9.7

    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.