# How do you write 0.283 x 10^-1 in scientific notation?

Sep 11, 2015

In (normalized) scientific notation
$0.283 \times {10}^{- 1} = 2.83 \times {10}^{- 2}$

#### Explanation:

Normalized scientific notation has one non-zero digit to the left of the decimal point.
Moving the decimal point from $0.283$ to $2.83$ requires that we multiply $0.283$ by ${10}^{1}$
Equivalently $2.83$ must be divided by ${10}^{1}$ (or multiplied by ${10}^{- 1}$) to equal $0.283$

So $0.283 \times {10}^{- 1} = \left(2.83 \times {10}^{- 1}\right) \times {10}^{- 1}$
$\textcolor{w h i t e}{\text{XXXXXXXXXXXX}} = 2.83 \times {10}^{- 2}$