# How do you convert 4.74 x 10^3 into standard form?

Jul 11, 2015

$4.74 \times {10}^{3} = 4740$ (in standard form)

#### Explanation:

${10}^{3} = 1000$
so
$4.74 \times {10}^{3} = 4.74 \times 1000 = 4740$

Perhaps a simplified way to think of it is
if given a number in scientific notation
$\textcolor{w h i t e}{\text{XXXX}}$$\text{a.bcd} \times {10}^{k}$
$k$ (if positive) is the number of places the decimal point needs to be moved to the right to get the standard notation value.
(If $k$ is negative the decimal point needs to move to the left).