Decimals plus and minus

You learn to add and subtract decimals by thinking of them as hundredths.

How to work it out

  1. Write numbers as hundredths: 0.25 is 25 hundredths.
  2. Calculate with integers.
  3. Convert back: 75 hundredths is 0.75.

A worked example

0.25 + 0.5

  1. Write them as hundredths: 25 and 50.
  2. Work it out: 25 + 50 = 75.
  3. Put it back: 75 hundredths is 0.75.
More examples

1 − 0.55

  1. Write them as hundredths: 100 and 55.
  2. Work it out: 100 − 55 = 45.
  3. Put it back: 45 hundredths is 0.45.

1.5 + 2.5

  1. Write them as hundredths: 150 and 250.
  2. Work it out: 150 + 250 = 400.
  3. Put it back: 400 hundredths is 4.

Try it yourself

  1. 0.25 + 0.5 =

  2. 2.5 − 1.25 =

Watch out

  • You count 0.5 as 5 hundredths: 0.25 + 0.5 becomes 0.30.

    0.5 is 5 tenths, and that is 50 hundredths. Fill in a 0: 0.50.

  • You work out the part after the decimal point on its own: 1.5 + 2.5 becomes 3.10.

    Ten tenths make one whole. Work in hundredths and it comes out right: 150 + 250 = 400.

Tips

  • Write 0.5 as 0.50 and 1 as 1.00, then you see the hundredths.

Why it works

You can already work with whole numbers. 0.25 is 25 hundredths, so 0.25 + 0.50 is just 25 + 50 hundredths. At the end you put the decimal point back.