# Notation for recurring decimals

Sometimes when you divide into a number there is a recurring decimal

`1/3=0.333333.......`recurring

This can be written as

`1/3=0.dot3`

or

`1/3=0.bar3`

The dot or dash means that the `3` is repeated indefinitely.

But repeated decimals can occur in a pattern.

This can be written as

`4/7=0.dot5\714dot2` or `4/7=0.bar5\714bar2`

This is written with a dot over the first and last part of the recurring pattern.

**Example 1**

Put the following fraction in recurring decimal form `22/7`

**Example 2**

What does `1.dot5` mean?

`1.dot5` means `1.5555555` repeating

**Example 3**

Write `22.520101010` as a recurring decimal using dots

This equals `22.520dot1dot0`

**Example 4**

Express `4/9` as a decimal

`4/9=0.4444` recurring

`4/9=0.dot4`