Calculating with decimals

Money, measurements and science results are full of decimals. Here is how to add, subtract, multiply and divide them without a calculator.

Practise this lesson free (7 questions)

Adding and subtracting

Line up the decimal points. Fill empty places with zeros.
12.5 + 3.78 = 12.50 + 3.78 = 16.28
9 βˆ’ 2.46 = 9.00 βˆ’ 2.46 = 6.54

Multiplying

Ignore the decimal points and multiply the whole numbers. Then count the decimal places in the question and give the answer the same number.
0.3 Γ— 0.4: 3 Γ— 4 = 12, two decimal places, so 0.12.
2.4 Γ— 1.3: 24 Γ— 13 = 312, two decimal places, so 3.12.
Multiplying by a number between 0 and 1 makes the answer smaller.

Dividing

Dividing by a whole number: use short division and keep the decimal point in line. 7.65 Γ· 3 = 2.55.
Dividing by a decimal: multiply both numbers by 10 (or 100) so you divide by a whole number. The answer does not change.
4.8 Γ· 0.2 = 48 Γ· 2 = 24.
Worked example

Work out 3.6 Γ— 0.25.

  1. Without the points: 36 Γ— 25 = 900
  2. Decimal places in the question: 1 + 2 = 3
  3. So the answer is 0.900

Answer: 0.9

Key idea

Add and subtract with the points lined up. To multiply, count decimal places. To divide by a decimal, scale both numbers until you divide by a whole number.

Common mistakes
Quick check

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Extra practice

2 more questions

Try each one, then tap to check.

  1. Work out 23.6 + 4.87.

    Show the answer

    Answer: 28.47

    Line up the decimal points: 28.47.

  2. Work out 10 βˆ’ 3.58.

    Show the answer

    Answer: 6.42

    Write 10 as 10.00, then subtract: 6.42.

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Sources and references

Checked by the GCSE-ready editorial team, 17 October 2026. Last updated 2 October 2026. Spotted a mistake? Tell us and we will fix it.

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