# How do you write 339 in scientific notation?

Apr 10, 2016

339= color(green)(3.39xx10^2

#### Explanation:

Scientific notation is always in the form:
$\textcolor{w h i t e}{\text{XXX")color(red)("mantissa with one digit to the left of the decimal point")xx10^color(blue)("scaling exponent}}$

So
$\textcolor{w h i t e}{\text{XXX}} 339$ must be written with a $\textcolor{red}{\text{mantissa}}$ of $\textcolor{red}{3.39}$

The $\textcolor{b l u e}{\text{scaling exponent}}$ is the number of times the $\textcolor{red}{\text{mantissa}}$ must be multiplied by $10$ to get the intended value.

$\textcolor{w h i t e}{\text{XXX")3.39xx10^0=3.39color(white)("XXX}}$not intended value.
$\textcolor{w h i t e}{\text{XXX")3.39xx10^1=33.9color(white)(} X X X}$not intended value
$\textcolor{w h i t e}{\text{XXX")3.39xx10^2=339color(white)("XXXx")color(green)("intended value}}$