# How do you write 20,000,000 in scientific notation?

Feb 8, 2016

$20 , 000 , 000 = \textcolor{g r e e n}{2.0 \times {10}^{7}}$

#### Explanation:

Except for the value $0.0$
scientific notation is always written in the form of
$\textcolor{w h i t e}{\text{XXX")color(red)("mantissa")xx10^color(blue)("exponent}}$

where $\textcolor{red}{\text{matissa}}$ is written as a single non-zero digit followed by a decimal point and an extended decimal fraction (by tradition at least one digit in the "extended decimal fraction").

and the $\textcolor{b l u e}{\text{exponent}}$ is the power of $10$ needed to raise the mantissa to the original value.

$20 , 000 , 000 = 2.0 \times 10 , 000 , 000 = \textcolor{red}{2.0} \times {10}^{\textcolor{b l u e}{7}}$