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Grade 5 Maths · Unit 1: Place value and decimals

Comparing and ordering decimals

Compare decimals with up to three places.

Line up the decimal points and compare from the left: wholes, then tenths, then hundredths, then thousandths. The first place where the digits differ decides which is greater.

Adding zeros at the end does not change a decimal's value, so 0.5 = 0.50 = 0.500. This makes comparing easier: 0.5 and 0.487 become 0.500 and 0.487, and 500 thousandths is more than 487 thousandths. Do not be fooled by length: 0.487 has more digits but is smaller.

Worked example

Order from smallest to largest: 0.62, 0.6, 0.625

  1. Write with three places: 0.620, 0.600, 0.625.
  2. Compare: 600 < 620 < 625.

Answer:0.6, 0.62, 0.625

Key words

order
arrange by size
ascending
smallest to largest
equivalent decimals
decimals with the same value, like 0.5 and 0.50
Practise this

New questions every time.

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