# How do you write the number in scientific notation: 322,000,000?

Nov 15, 2016

$322 , 000 , 000 = 3.22 \times {10}^{8}$

#### Explanation:

Scientific notation is a way of writing very big or very small numbers, quickly, easily and accurately, without writing all the zeros as place holders.

It uses a number with only one digit before the decimal point, followed by a power of 10 to indicate the size of the number.

$322 , 000 , 000 = 3.22 \times {10}^{8}$

Note that in $322 , 000 , 000.$ the decimal point is on the right.
$\textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots} \uparrow$

Note that in $3.22 \times {10}^{8}$ the decimal point is after the first digit.
$\textcolor{w h i t e}{\ldots \ldots . . x \ldots \ldots} \uparrow$

Count how many places the decimal point has been moved to the left:

$3 \textcolor{red}{22 , 000 , 000.} = 3.22 \times {10}^{\textcolor{red}{8}}$