# What is the order of magnitude of 500,000?

Dec 30, 2015

5

#### Explanation:

The order of magnitude is the power of 10, when a number is written in its standard form.

$500 , 000$ in its standard form is:

5.0×10^5

Hence, the order of magnitude is 5!

Just to clarify, the standard form of any number is that number written as a single digit followed by a decimal point and decimal places, which is multiplied with a power of 10.

Here are a few examples:

60=6.0×10^1

5,230=5.23×10^3

0.02=2.0×10^-2

1.2=1.2×10^0