# 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.

#### Answer:

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