Home learning focus
Find out about tenths and the ways they can be represented.
This lesson includes:
- two videos
- two interactive activities
Tenths are created when one whole is split equally into ten different parts.
Tenths are important because they help you to understand place value in a number.
Let's take a look at some different ways of representing tenths.
Tenths as fractions
When a tenth is represented as a fraction, it is written with a denominator of 10.
The numerator shows how much of the whole is being talked about.
In this example, 3 out of the 10 squares have been shaded, so as a fraction that is ³/₁₀.
Tenths as decimals
One one is made up of ten tenths.
We can visually represent this by separating the whole into tenths. You can see that each square is the same as 0.1.
Therefore, ³/₁₀ as a decimal is 0.3.
Tenths on a number line
A number line is another way of representing tenths within a whole. The number line can either be split into decimals or fractions.
Each line represents 0.1 or one tenth.
Can you work out what number is shown on this number line below?
So to find the number the arrow is pointing to, you need to count up in tenths until you reach the arrow.
Remember to check which whole numbers the tenths are between.
The arrow on the number line is pointing to 2.5.
There's more to learn
Have a look at these other resources around the BBC and the web.