# How do you write 14,607,465 in scientific notation?

Dec 2, 2015

Scientific notation: $1.4607465 \times {10}^{7}$

#### Explanation:

In "scientific notation" a number is written as
$\textcolor{w h i t e}{\text{XXX}} a . b \times {10}^{c}$
where $a$ is a single non-zero digit (except when the value being represented is equal to $0$),
$b$ is a series of digits,
and $c$ is the power of ten required to convert $a . b$ into the normal form of the number.

For the number $14 , 607 , 465$
$\textcolor{w h i t e}{\text{XXX}} a = 1$
$\textcolor{w h i t e}{\text{XXX}} b = 4607465$

and since $1.4607465 \times 10000000 = 1.4607465 \times {10}^{7} = 14 , 607 , 465$
$\textcolor{w h i t e}{\text{XXX}} c = 7$