# How do you convert 0.005038 into scientific form?

Jul 13, 2015

$0.005038 = 5.038 \times {10}^{- 3}$

#### Explanation:

Scientific notation is a value written in the form:
$\textcolor{w h i t e}{\text{XXXX}}$mantissa $\times {10}^{\text{exponent}}$
where
$\textcolor{w h i t e}{\text{XXXX}}$the mantissa is a decimal number with one non-zero digits to the left of the decimal place
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(except for the actual value $0.0$, of course)
$\textcolor{w h i t e}{\text{XXXX}}$and the exponent is the number of places the decimal point of the mantissa needs to be moved (to the right if the exponent is positive; to the left if negative) to convert the mantissa into its "standard form".