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Section 4.4 · Number

Dividing decimals

Divide decimals by whole numbers, rounding the answer to a given degree of accuracy where necessary.

6 teaching slides 56 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

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2 · Key words

divideTo share into equal parts.
remainderWhat is left over after a division.
degree of accuracyHow precise the answer must be.
decimal placeA digit position after the decimal point.

3 · Summary of the sectionrevise from this

  • Set the division out so the decimal point in the answer sits directly above the point in the question.
  • Then divide exactly as you would with whole numbers.
  • If there is a remainder, add zeros after the decimal point and carry on: 7 = 7.00, so 7 ÷ 4 = 1.75.
  • Some divisions never stop, such as 2 ÷ 3 = 0.6666… — those must be rounded.
  • When an answer must be rounded, work to one more decimal place than you need, then round.
  • 8.46 ÷ 7 = 1.208… , so to 2 decimal places the answer is 1.21.
  • Dividing by a whole number greater than 1 always makes the answer smaller.

Video lessons2 videos

Dividing Decimals by whole numbers

British Corbettmaths

Exactly the Stage 7 skill: the bus-stop method with the point kept in line.

How to Round Decimals

American Math with Mr. J

Needed for 4.4 too, because divisions often have to be rounded.

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4 · Practice56 questions, easiest first

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4.3 Multiplying decimals

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4.5 Making decimal calculations easier