# What is the order of magnitude of 800?

Order of magnitude can be derived from scientific notation where we have $a \cdot {10}^{n}$ where n is the order of magnitude.
The easiest way to work forwards is start with $n = 1$, and work up powers until ${10}^{n}$ is greater than or equal to your original number.
In this case, 800 can be written as $8 \cdot 100$ which, in scientific notation is $8 \cdot {10}^{2}$ where the order of magnitude is 2.