There are generally 3 types of decimal expansion

- Terminating
- Non-terminating Repeating
- Non-terminating Non Repeating

Let us take an example to study it

**
In 20/8 = 2.5
**
,

- the remainder is 0
- the decimal ends at 5.

So, that means the expansion is terminating.

**
In 10/3
**
**
= 3.3333
**
**
…,
**

- the expansion does not end i.e. non-terminating
- and 3 keeps on repeating

So, it is a non-terminating, repeating expansion

**
There are also some decimals like
**

**
1.4142135623…
**

- the expansion does not end i.e. non-terminating
- and no set of numbers repeat

So, it is a non-terminating, non-repeating expansion

Let us learn how to find decimal expansions of numbers.