Ordering Decimals

Test yourself

Ordering Decimals

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

Using place value

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

Place value grid

Put your numbers in a place value grid.

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

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

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

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.

1Year 3 - Number

2Year 3 - Measurement

2.1Length

2.1.1Length

2.1.2Comparing Lengths

2.1.3Add & Subtract Lengths

2.1.4Perimeter

2.2Mass

2.2.1Mass

2.2.2Comparing Masses

2.2.3Add & Subtract Masses

2.3Volume & Capacity

2.3.1Volume & Capacity

2.3.2Comparing Volumes

2.3.3Add & Subtract Volumes

2.4Money

2.4.1Money

2.4.2Counting Money

2.4.3Adding & Subtracting Money

2.5Time

2.5.1Units of Time

2.5.2Clocks

2.5.3Telling the Time

2.5.4Time of the Day

2.5.512-Hour & 24-Hour Clocks

2.5.6Measuring Time

3Year 3 - Geometry

3.1Angles

3.1.1Angles in Degrees

3.1.2Types of Angle

3.2Properties of Shapes

3.2.12D Shapes

3.2.23D Shapes

3.3Straight Lines

3.3.1Straight Lines

3.3.2Parallel & Perpendicular Lines

4Year 3 - Statistics

4.1Statistics

4.1.1Statistics

4.1.2Pictograms & Bar Charts

5Year 4 - Number

6Year 4 - Measurement

6.1Units

6.1.1Metric Measurements

6.1.2Adding & Subtracting Money

6.2Time

6.2.1Converting Units of Time

6.2.2Changing the 12-Hour Clock to the 24-Hour Clock

6.2.3Changing the 24-hour Clock to the 12-Hour Clock

7Year 4 - Geometry

7.1Properties of Shapes

7.1.1Symmetry

7.1.2Types of Triangle

7.1.3Quadrilaterals

7.2Perimeter & Area

7.2.1Perimeter

7.2.2Area

7.3Position & Direction

7.3.1Coordinates

7.3.2Translation

8Year 4 - Statistics

8.1Statistics

8.1.1Types of Data

8.1.2Pictograms & Bar Charts

8.1.3Line Graphs

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