# How do you write 0.004752 in scientific notation?

Aug 25, 2016

$4.752 \times {10}^{-} 3$

#### Explanation:

Let's use an indices method first.

$0.004752 = \frac{4752}{1000 , 000}$ "change 1,000,000 to a power of 10"

$\frac{4752}{1000 , 000} = \frac{4752}{\textcolor{red}{{10}^{6}}} = 4752 \times \textcolor{red}{10 - 6}$

Scientific notation must have only one non-zero digit in front of the decimal point.

$4752 \times 10 - 6 \rightarrow 4.752 \times {10}^{-} 3$

Or just use the method of moving the point to the right.
(Each move is a power of 10)

0.$\underline{\textcolor{red}{004}} 752 = 4.752 \times {10}^{\textcolor{red}{- 3}}$