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Decimals and percentages · Ages 11–12

Dividing to an approximate answer worksheet

Part of: Dividing decimals; fractions to decimals

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Dividing to an approximate answer worksheet

Decimals and percentages · Ages 11–12

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Name:Date:Score:/48

Write each answer in the space. For word problems, show your working and write a sentence answer.

Part A: Working out and filling in (2 marks each)

  1. 1.What is 3.49 to 1 decimal place?

    Answer:

  2. 2.89 ÷ 6 = (to 1 decimal place)

    Answer:

  3. 3.What is 5.26 to 1 decimal place?

    Answer:

  4. 4.What is 40.1 ÷ 0.3 to the nearest whole number?

    Answer:

  5. 5.7.6 ÷ 7 = (to 2 decimal places)

    Answer:

  6. 6.What is 6.7 ÷ 0.6 to the nearest whole number?

    Answer:

  7. 7.9.7 ÷ 9 = (to 2 decimal places)

    Answer:

  8. 8.What is 1.7 ÷ 1.1 to the nearest tenth?

    Answer:

  9. 9.What is 4.8 ÷ 0.7 to the nearest tenth?

    Answer:

Part B: Choose, or true or false (2 marks each)

  1. 10.Which is 87 ÷ 13 to 1 decimal place?

    • A. 6.6
    • B. 7
    • C. 6.7
    • D. 6.69

    Choose the right answer

    Answer:

  2. 11.4.3 ÷ 6 to 2 decimal places is 0.71.

    True or false?

    Answer:

  3. 12.9.5 ÷ 7 to 2 decimal places is 1.36.

    True or false?

    Answer:

Part C: Word problems (4 marks each)

  1. 13.9 people share the cost of a $147 present equally. To 1 decimal place, about how much does each pay?

    Working:

    Answer:

  2. 14.12 L of juice is poured into bottles that hold at most 0.7 L each. What is the fewest bottles that will hold all the juice?

    Working:

    Answer:

  3. 15.Ka-yan has 18.5 m of ribbon, and each bow takes 0.35 m. What is the greatest number of bows Ka-yan can make?

    Working:

    Answer:

  4. 16.A 25 kg bag of rice lasts a family 11 days. To 1 decimal place, about how many kilograms do they eat a day?

    Working:

    Answer:

  5. 17.A box of 3 water bottles costs $68. To 2 decimal places, about how much is each one?

    Working:

    Answer:

  6. 18.8 L of juice is poured into bottles that hold at most 0.7 L each. What is the fewest bottles that will hold all the juice?

    Working:

    Answer:

Show the answers and working

Dividing to an approximate answer worksheet: Answers and working

Part A: Working out and filling in

  1. 1. 3.5

    For 1 decimal place, look only at the second decimal digit.

    Look at the second decimal digit, 9: 4 or less, drop it; 5 or more, round up. So 3.49 to 1 decimal place is 3.5.

  2. 2. 14.8

    Divide 89 ÷ 6 to the second decimal place, then look at that digit.

    Divide to the second decimal place, then look at it: 4 or less, drop it; 5 or more, round up. That gives 14.8.

  3. 3. 5.3

    For 1 decimal place, look only at the second decimal digit.

    Look at the second decimal digit, 6: 4 or less, drop it; 5 or more, round up. So 5.26 to 1 decimal place is 5.3.

  4. 4. 134

    The divisor is a decimal, so multiply both by 10: 401 ÷ 3. Then divide to the first decimal place.

    Make the divisor whole: 401 ÷ 3; divide to the first decimal place, then round to a whole number: 134.

  5. 5. 1.09

    For 2 decimal places, divide 7.6 ÷ 7 to the third place, then look at that digit.

    Divide to the third decimal place, then round to the second: 1.09.

  6. 6. 11

    The divisor is a decimal, so multiply both by 10: 67 ÷ 6. Then divide to the first decimal place.

    Make the divisor whole: 67 ÷ 6; divide to the first decimal place, then round to a whole number: 11.

  7. 7. 1.08

    For 2 decimal places, divide 9.7 ÷ 9 to the third place, then look at that digit.

    Divide to the third decimal place, then round to the second: 1.08.

  8. 8. 1.5

    The tenths are the first decimal place. Write it as 17 ÷ 11 and divide to the second place.

    The tenths are the first decimal place: divide 17 ÷ 11 to the second place, then round: 1.5.

  9. 9. 6.9

    The tenths are the first decimal place. Write it as 48 ÷ 7 and divide to the second place.

    The tenths are the first decimal place: divide 48 ÷ 7 to the second place, then round: 6.9.

Part B: Choose, or true or false

  1. 10. C. 6.7

    Divide 87 ÷ 13 to the second decimal place, then let that digit decide: drop it or round up.

    Divide to the second decimal place; it is 5 or more, so round up: 6.7.

  2. 11. False

    Divide 4.3 ÷ 6 to the third place and look at it: drop or round up? Then compare with 0.71.

    Divide to the third decimal place; it is 5 or more, so round up: 0.72.

  3. 12. True

    Divide 9.5 ÷ 7 to the third place and look at it: drop or round up? Then compare with 1.36.

    Divide to the third decimal place; it is 5 or more, so round up: 1.36.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

  1. 13. 16.3 dollars

    Each pays 147 ÷ 9. Divide to the second decimal place, then round.

    147 ÷ 9 to the second decimal place, then rounded: about 16.3 dollars.

  2. 14. 18 bottles

    Work out 12 ÷ 0.7. All the juice must go in, so a bottle that isn't full still counts.

    12 ÷ 0.7 is between 17 and 18: 17 bottles won't hold it all, so one more is needed: 18.

  3. 15. 52 bows

    Work out 18.5 ÷ 0.35. Ribbon left over that won't make a whole bow doesn't count.

    18.5 ÷ 0.35 is a little more than 52; what's left isn't enough for another, so 52.

  4. 16. 2.3 kg

    Each day is 25 ÷ 11. Divide to the second decimal place, then round.

    25 ÷ 11 to the second decimal place, then rounded: about 2.3 kg.

  5. 17. 22.67 dollars

    Each costs 68 ÷ 3. Divide to the third decimal place, then round.

    68 ÷ 3 to the third decimal place, then rounded: about 22.67 dollars.

  6. 18. 12 bottles

    Work out 8 ÷ 0.7. All the juice must go in, so a bottle that isn't full still counts.

    8 ÷ 0.7 is between 11 and 12: 11 bottles won't hold it all, so one more is needed: 12.

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