# How do you write 204,000,000 in scientific notation?

Apr 30, 2018

$2.04 \times {10}^{8}$

#### Explanation:

A number in scientific notation has the form:
$a \times {10}^{b}$, where $\left\mid a \right\mid < 10$

$a$ can be found by taking every number from the first non-zero number to the last non-zero number, in this case:
$\textcolor{red}{204} , 000 , 000$.

And since $\left\mid a \right\mid < 10$ we make $a = 2.04$

Now to find $b$, we find the number of digits between the first number and including the last number:
$2 \textcolor{g r e e n}{04} , \textcolor{g r e e n}{000} , \textcolor{g r e e n}{000}$, there are $\textcolor{g r e e n}{8}$ numbers after the $2$. So $b = 8$

Therefore out number is $2.04 \times {10}^{8}$