**Standard (index) form** is a shorthand way of writing a large or a small number.

It consists of 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}.

**Example**

Change 5830 into standard form.

First fix the decimal point after the first non-zero digit, i.e. 5.830 or 5.83

Next determine the power of 10 that you must multiply 5.83 by, to get back to 5830.

In this case it is 3.

So **5830 = 5.83 × 10 ^{3}**

**Other Examples**

**11.92 = 1.192 × 10**

**694000000 = 6.94 x 10 ^{8}**

**0.00694 = 6.94 × 10 ^{-3}**