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Section 4.3 · Number

Multiplying decimals

Multiply decimals by whole numbers, and by other decimals.

6 teaching slides 56 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

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2 · Key words

decimal placeA digit position after the decimal point.
productThe result of a multiplication.
estimateA rough answer, used to check the real one.

3 · Summary of the sectionrevise from this

  • Step 1. Do the multiplication ignoring the decimal point.
  • Step 2. Count the decimal places in the question.
  • Step 3. Put the same number of decimal places in the answer.
  • 0.002 × 4: 2 × 4 = 8, and the question has 3 decimal places, so the answer is 0.008.
  • 30 × 0.06: 30 × 6 = 180, and the question has 2 decimal places, so the answer is 1.80 = 1.8.
  • You can drop a zero at the end of the answer, but never one in the middle.
  • Multiplying by a number less than 1 makes the answer smaller: 0.4 × 0.7 = 0.28.
  • Estimate first to check the point is in the right place.

Video lessons2 videos

Multiplying Decimals

British Corbettmaths

The count-the-decimal-places method that Stage 7 uses.

Multiplying and Dividing Decimals: A Step-By-Step Review

American Math with Mr. J

Covers both operations together, with plenty of worked examples.

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4 · Practice56 questions, easiest first

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4.2 Adding and subtracting decimals

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4.4 Dividing decimals