# How do you write 12.5 x 0.000 234 in scientific notation?

Jul 24, 2015

$12.5 \times 0.000234$
$\textcolor{w h i t e}{\text{XXXX}}$$= \left(1.25 \times {10}^{1}\right) \times \left(2.34 \times {10}^{- 4}\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$= 2.915 \times {10}^{- 3}$

#### Explanation:

To convert standard notation to scientific notation
$\textcolor{w h i t e}{\text{XXXX}}$count the number of places to the left you need to move the decimal point to have one non-zero digit to the left of the decimal point (moving the decimal point to the right requires that you count as negative moves).

$\left(1.25 \times {10}^{+ 1}\right) \times \left(2.34 \times {10}^{-} 4\right)$

$\textcolor{w h i t e}{\text{XXXX}}$$= \left(1.25 \times 2.34\right) \times \left({10}^{+ 1} \times {10}^{- 4}\right)$

$\textcolor{w h i t e}{\text{XXXX}}$$= 2.915 \times {10}^{- 3}$