Ordering Decimals

Maths: Year 3 & 4 National Curriculum, topic 5.4.7

Ordering Decimals

You can use place value grids to help you order decimals.

Using place value

Using place value

  • To order these decimals, you need to look closely at the place value.
Place value grid

Place value grid

  • Put your numbers in a place value grid.
Start with the 'ones'

Start with the 'ones'

  • To put the numbers in order, start by looking at the 'ones' column.
  • All four numbers have 7 'ones'.
  • So there is no difference in the 'ones' for all numbers.
Next, check the 'tenths' column

Next, check the 'tenths' column

  • In the 'tenths' column you can begin to order the numbers.
  • You can see that 7.45 is the smallest as it has the least amount of 'tenths'.
  • 7.58 is the second smallest as it has the second least amount of 'tenths'.
7.45 and 7.58

7.45 and 7.58

  • You know the smallest number is 7.45, followed by 7.58.
  • You need to be able to work out which is smaller out of 7.61 and 7.63.
  • Next, look at the 'hundredths' column to find out.
The 'hundredths' column

The 'hundredths' column

  • You can see 7.61 is smaller than 7.63 by looking at the 'hundredths' column.
  • 7.61 and 7.63 both have the same number of 'ones' and 'tenths'.
  • 7.63 has 3 'hundredths' and 7.61 has 1 'hundredths'.
  • So, 7.61 is smaller than 7.63.

Test yourself on Ordering Decimals

  • Which of these numbers is the smallest?

  • Which of these numbers is the largest?

  • Which of these numbers is the smallest?

  • Which of these numbers is the largest?

Practise this topic for free