# How do you convert 0.0032 into scientific notation?

Jul 11, 2015

$3.2 \times {10}^{-} 3$

#### Explanation:

Move the point to the right and count the movements. Stop after the 3, eliminate the zeroes, take the remaining digits and include a power (negative->movement to the right) of ten corresponding to the number of movements:
$0.0032$
$0003.2$ you made 3 moves:
$= 3.2 \times {10}^{-} 3$

Jul 11, 2015

$3.2 \times {10}^{- 3}$

#### Explanation:

The premise of scientific notation is that you skip all those "extra zeroes" and go straight to the non-zero digits. However, that means that you do have to state how many zeroes you moved the decimal over.

The number $- 3$ means that I moved the decimal $3$ places to the right, and that the number $0.0032$ is smaller than the number $3.2$ by ${10}^{3}$.