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Grade 5 Maths · Unit 3: Decimal operations

Adding and subtracting decimals

Add and subtract decimals by lining up the decimal points.

To add or subtract decimals, line up the decimal points so that tenths are under tenths and hundredths under hundredths. Then add or subtract as you would with whole numbers, carrying or exchanging when needed.

If the numbers have a different number of decimal places, fill the gaps with zeros. 12.4 − 3.75 becomes 12.40 − 3.75. Put the decimal point in the answer straight below the others: 8.65.

Worked example

6.93 + 7.8 =

  1. Write 7.8 as 7.80 and line up the points.
  2. Hundredths: 3 + 0 = 3. Tenths: 9 + 8 = 17, write 7 carry 1. Ones: 6 + 7 + 1 = 14.

Answer:14.73

Key words

decimal point
separates wholes from parts
line up
put the same places under each other
placeholder zero
a zero added to fill an empty place
Practise this

New questions every time.

Common Core-referenced: 5.NBT.B.7