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Grade 5 Maths · Unit 1: Place value and decimals

Decimals to thousandths

Read, write and find the value of digits in decimals.

After the decimal point come tenths, hundredths and thousandths. In 4.367, the 3 is 3 tenths, the 6 is 6 hundredths and the 7 is 7 thousandths. Each place is one tenth of the place to its left.

We can write a decimal in expanded form: 4.367 = 4 + 3/10 + 6/100 + 7/1000. A zero holds an empty place, so 2 + 5/10 + 8/1000 is 2.508, with a zero in the hundredths place. Read 2.508 as two and five hundred eight thousandths.

Worked example

Write 7 + 4/10 + 9/1000 as a decimal.

  1. 7 ones, 4 tenths, no hundredths, 9 thousandths.
  2. Put a zero in the hundredths place.

Answer:7.409

Key words

tenths
the first place after the point
hundredths
the second place after the point
thousandths
the third place after the point
Practise this

New questions every time.

Common Core-referenced: 5.NBT.A.3