__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 large numbers.

**Example**

Change 5830000 into standard form.

First fix the decimal point after the first non-zero digit, i.e. 5.830000 or 5.83

Next determine the power of 10 that you must multiply 5.83 by, to get back to 5830000.

In this case it is 6.

So **5830000 = 5.83 × 10 ^{6}**

**Other Examples**

**112233.92 = 1.1223392 × 10**^{5}

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