# Number lines and decimals (tenths/hundredths)

Lesson

## Number lines

Number lines work the same way, whether we are using decimals or not, with numbers increasing as we move to the right. Getting the hang of a number line with whole numbers is a great way to see how they work. You can also look at number lines using fractions, since fractions are just a different way to express decimals.

## Working with tenths

When we divide $1$1 unit into 10 equal pieces, it is broken into $10$10 tenths, as shown below.

### Plotting tenths

When we work with decimals, remembering that $0.1$0.1 is $\frac{1}{10}$110 is really helpful. Have a look at how we can plot decimals in tenths in this video.

### Working out numbers with tenths

Next, can you work out what these numbers on a number line are? Instead of plotting decimals, we have to work out what has been plotted for us.

Remember!

$10$10 tenths make $1$1 unit.

## Working with hundredths

When we work with hundredths, the process is the same but the end points on our number line are different. $1$1 tenth is broken into $10$10 hundredths, so we are zooming in on smaller numbers.

### Plotting hundredths

Let's plot some hundredths together in this video.

### WORKING OUT NUMBERS WITH hundredths

Can you work out what these decimals are? You'll also how to work out which number is furthest to the right on a number line, as well as a special twist for those keen to plot some tricky numbers.

Remember!

$10$10 hundredths make $1$1 tenth.

The larger the number, the further to the right it will be on a number line.

#### Worked Examples

##### Question 1

Plot $0.3$0.3 on the number line.

##### Question 2

What number is shown on the following number line?

##### Question 3

Plot $0.25$0.25 on the number line.

### Outcomes

#### NA4-6

Know the relative size and place value structure of positive and negative integers and decimals to three places.