# How do you convert 294117647.1 into scientific notation?

Jul 21, 2015

$294117647.1 = 2.941176471 \times {10}^{8}$
$\textcolor{w h i t e}{\text{XXXX}}$(standard notation = scientific notation)

#### Explanation:

Scientific notation is written in the form:
$\textcolor{w h i t e}{\text{XXXX}}$ mantissa $\times {10}^{\text{exponent}}$
where the mantissa is written as
$\textcolor{w h i t e}{\text{XXXX}}$a single non-zero digit (unless the entire value is zero)
$\textcolor{w h i t e}{\text{XXXX}}$followed by a decimal point
$\textcolor{w h i t e}{\text{XXXX}}$followed by the remaining digits
and
the exponent is
$\textcolor{w h i t e}{\text{XXXX}}$the number of places to the right the decimal point needs to be moved to convert the mantissa into standard form.