# How do I find the order of magnitude of a number?

##### 2 Answers

The mathematical explanation is to take the base ten log of a number and floor it, however, that's just a fancy math way of saying count the digits before the decimal marker then take 1.

Orders of magnitude are approximately common logarithms of ratios of numbers, typically rounded to the nearest integer below.

If your number already represents a ratio, then take its common log.

#### Explanation:

If one number is

Orders of magnitude represent a comparison of scale, for example,

The "order of magnitude of

Note that orders of magnitude try not to exaggerate the scale, choosing to express that

If we are faced with a ratio like