__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 must compare such numbers.

**5830000 = 5.83 × 10 ^{6}**

**11223392 = 1.1223392 × 10**^{7}

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

These numbers are in increasing order because 10^{6 }numbers are always smaller than 10^{7 }numbers etc...

So ** 5.83 × 10 ^{6}**

**< 1.1223392 × 10**

^{7}