# How do you write 300,000,000,000,000,000 in scientific notation?

Feb 6, 2016

$3.0 \times {10}^{17}$

#### Explanation:

$1300 , 000 , 000 , 000 , 000 , 000$
$\textcolor{w h i t e}{\text{XX}} = 3 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10$
$\textcolor{w h i t e}{\text{XX}} = 3 \times {10}^{17}$

The $\textcolor{red}{\text{mantissa}}$ for normailzed scientific notation is always written with one digit, followed by a decimal point and the remaining fractional digits; except for the value zero, the leading digit should be non-zero.
This is followed by the $\textcolor{b l u e}{\text{exponential portion}}$ in the form ${10}^{\text{appropriate power}}$

So for the given value, scientific notation should be:
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{3.0} \times \textcolor{b l u e}{{10}^{17}}$