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Year 6 · Maths · Decimals · Lesson 1

Multiplying decimals

Multiply decimals by 10, 100 and 1,000, by whole numbers and by other decimals, using place value and estimation.

Whiteboard video lesson: Multiplying decimals

23-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Multiply by powers of 10
  • Multiply decimals by whole numbers
  • Multiply two decimals
  • Estimate to check
  • Solve money and measure problems

The method

  1. Estimate first.
  2. Ignore the points; multiply.
  3. Count decimal places in the question.
  4. Put them in the answer. Check.

Key words: decimal, decimal place, multiply, estimate, tenths.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Work out 5.6 × 10.

  1. Step 1: × 10: digits move 1 place left
  2. Step 2: = 56

Answer: 56

Question 2

Work out 0.08 × 100.

  1. Step 1: × 100: digits move 2 places left
  2. Step 2: = 8

Answer: 8

Question 3

Work out 1.234 × 1,000.

  1. Step 1: × 1,000: digits move 3 places left
  2. Step 2: = 1234

Answer: 1234