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Dividing Decimals Worksheet

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Dividing Decimals Worksheet

Practise dividing decimals by whole numbers and decimals, use place value and estimation, and solve practical problems. Show your working and check that each answer is sensible.

Divide by whole numbers

Keep track of the decimal place value as you divide.

1.Calculate 9.6 ÷ 3.
2.Calculate 22.4 ÷ 4.
3.Calculate 31.5 ÷ 5.
4.Work through 14.4 ÷ 4 by completing each step: (a) Round 14.4 to a nearby whole number that is easy to divide by 4. (b) Use that estimate to predict the approximate quotient. (c) Calculate 14 ÷ 4 and 0.4 ÷ 4. (d) Add those parts to find the exact quotient.

Divide by decimals

Multiply both numbers by the same power of 10 so that the divisor becomes a whole number.

5.Calculate 7.2 ÷ 0.9. Show an equivalent division with a whole-number divisor.
6.Calculate 8.4 ÷ 1.2.
7.Challenge: Calculate 18.9 ÷ 2.7. Show how you make the divisor a whole number.

Decimals in everyday situations

Include units in your answers and show the division you use.

8.A 3.6 kg bag of rice costs $10.80. What is the cost per kilogram?
9.A 18.2 m length of ribbon is cut into pieces that are each 1.4 m long. How many full pieces can be cut?
10.A van travels 172.8 km using 10.8 L of fuel. Find its fuel efficiency in kilometres per litre. Round to 1 decimal place.

Check with estimation

Use estimation to decide whether each stated quotient is sensible. Think about the size of the numbers before calculating.

11.Does 21.6 ÷ 4 = 5.4 give a sensible quotient? Choose yes or no.
  • Yes
  • No
12.Does 32.4 ÷ 6 = 0.54 give a sensible quotient? Choose yes or no.
  • Yes
  • No
13.Does 5.6 ÷ 0.7 = 8 give a sensible quotient? Choose yes or no.
  • Yes
  • No
14.Explain one useful way to check a decimal division answer. Give a brief example.

3 printable pages

  • Dividing Decimals Worksheet, page 1 of 3: Divide by whole numbers

    Page 1

  • Dividing Decimals Worksheet, page 2 of 3: Divide by decimals, Decimals in everyday situations

    Page 2

  • Dividing Decimals Worksheet, page 3 of 3: Check with estimation

    Page 3

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