Compare Numbers in Standard Form

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 × 10² or 4.8 × 10^-3.

In this worksheet, we must compare such numbers.

5830000 = 5.83 × 10⁶

11223392 = 1.1223392 × 10⁷

694000000 = 6.94 x 10⁸

These numbers are in increasing order because 10⁶ numbers are always smaller than 10⁷ numbers etc...

So 5.83 × 10⁶ < 1.1223392 × 10⁷