__Standard (index) form__ is a shorthand way of writing a very large or a very small number.

It is written as a number between 1 and 10 (but not equal to 10) multiplied by a power of 10, for example 2.94 × 10^{2} or 4.8 × 10^{-3}.

In this worksheet, we will just look at very small numbers.

**Example**

Change **5.83 × 10 ^{-6}** into a normal number.

**Answer**

We divide 5.83 by 10 six times.

Each digit therefore moves 6 places to the right.

This gives the number** 0.00000583**.

**Other Examples**

**1.122 × 10**^{-7}** = 0.0000001122
**

**6 x 10 ^{-8} = 0.00000006**