# How do you write 0.0000516 in scientific notation?

Apr 22, 2018

$5.16 \times {10}^{-} 5$

#### Explanation:

See how many $0 ' s$ there are until you get to the number between $1 - 10$ (in this case 5.16), it takes 5 steps from the decimal point.

$\to 5.16 \times {10}^{-} 5$ as this is $0.0000516$ not $516000$, you use a negative power.

Apr 22, 2018

$5.16 \times {10}^{-} 5$

#### Explanation:

Whenever you move the decimal point $\textcolor{b l u e}{b a c k}$ you multiply it with a $\textcolor{b l u e}{{10}^{-} n}$; and when you move the decimal point $\textcolor{red}{f} \textcolor{red}{r o n t}$ then you multiply it with $\textcolor{red}{{10}^{n}}$ where $n$ is the number of time you moved the decimal point.
Since, this is the first case, you move the decimal point $5$ places back and multiply it with ${10}^{-} 5$.

Hope this helps :)