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Multiplying decimals

Multiply decimals in tenths and place the decimal point in the product.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Factor values in tenths

Enter integer counts of tenths: 12 means 1.2 and 3 means 0.3. Both factors use the range.

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Multiplying decimalsMultiplying decimals. Practice. Calculate 8.5 × 4.5. Calculate 6.8 × 5.9. Calculate 3.2 × 9.0. Calculate 0.4 × 9.9. Calculate 7.5 × 2.9. Calculate 2.8 × 3.0. Calculate 9.0 × 8.7. Calculate 4.1 × 4.3. Calculate 9.9 × 7.0. Calculate 8.3 × 6.8. Calculate 3.1 × 4.4. Calculate 9.6 × 2.4.Name __________________________Date _______________Multiplying decimalsMultiply each pair and write the result to two decimal places.Worked exampleCalculate 1.2 × 0.3. → 0.36Multiply the integer digit values: 12 × 3 = 36.1.Calculate 8.5 × 4.5.2.Calculate 6.8 × 5.9.3.Calculate 3.2 × 9.0.4.Calculate 0.4 × 9.9.5.Calculate 7.5 × 2.9.6.Calculate 2.8 × 3.0.7.Calculate 9.0 × 8.7.8.Calculate 4.1 × 4.3.9.Calculate 9.9 × 7.0.10.Calculate 8.3 × 6.8.11.Calculate 3.1 × 4.4.12.Calculate 9.6 × 2.4.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · 832c9ff6
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Practice + answer key · 2 pages

Decimals

What you’ll practice

Multiply two nonnegative decimals in tenths and write the answer to two decimal places.

Try the multiplication without the decimal points first. Each factor has one decimal place, so write the product with two decimal places, adding zeros if needed.

How this skill works

A tenth times a tenth is a hundredth. Multiply the integer digit counts first, then interpret the result in hundredths.

For example, 1.2 is 12 tenths and 0.3 is 3 tenths. Their product is 36 hundredths, or 0.36.

Worked example

Calculate 1.2 × 0.3.
  1. Multiply the integer digit values: 12 × 3 = 36.
  2. There is one decimal place in each factor, for two places altogether.
  3. Write the product as 0.36.

Answer: 0.36

Teaching notes

  • Count decimal places in both factors.
  • Use a magnitude estimate to check the decimal-point position.
Practice questions
  1. Calculate 8.5 × 4.5.
  2. Calculate 6.8 × 5.9.
  3. Calculate 3.2 × 9.0.
  4. Calculate 0.4 × 9.9.
  5. Calculate 7.5 × 2.9.
  6. Calculate 2.8 × 3.0.
  7. Calculate 9.0 × 8.7.
  8. Calculate 4.1 × 4.3.
  9. Calculate 9.9 × 7.0.
  10. Calculate 8.3 × 6.8.
  11. Calculate 3.1 × 4.4.
  12. Calculate 9.6 × 2.4.
Answers and steps
  1. 38.25
    1. First multiply the integer digit values: 85 × 45 = 3825. Each factor has one decimal place, so the product has two: 38.25.
  2. 40.12
    1. First multiply the integer digit values: 68 × 59 = 4012. Each factor has one decimal place, so the product has two: 40.12.
  3. 28.80
    1. First multiply the integer digit values: 32 × 90 = 2880. Each factor has one decimal place, so the product has two: 28.80.
  4. 3.96
    1. First multiply the integer digit values: 4 × 99 = 396. Each factor has one decimal place, so the product has two: 3.96.
  5. 21.75
    1. First multiply the integer digit values: 75 × 29 = 2175. Each factor has one decimal place, so the product has two: 21.75.
  6. 8.40
    1. First multiply the integer digit values: 28 × 30 = 840. Each factor has one decimal place, so the product has two: 8.40.
  7. 78.30
    1. First multiply the integer digit values: 90 × 87 = 7830. Each factor has one decimal place, so the product has two: 78.30.
  8. 17.63
    1. First multiply the integer digit values: 41 × 43 = 1763. Each factor has one decimal place, so the product has two: 17.63.
  9. 69.30
    1. First multiply the integer digit values: 99 × 70 = 6930. Each factor has one decimal place, so the product has two: 69.30.
  10. 56.44
    1. First multiply the integer digit values: 83 × 68 = 5644. Each factor has one decimal place, so the product has two: 56.44.
  11. 13.64
    1. First multiply the integer digit values: 31 × 44 = 1364. Each factor has one decimal place, so the product has two: 13.64.
  12. 23.04
    1. First multiply the integer digit values: 96 × 24 = 2304. Each factor has one decimal place, so the product has two: 23.04.