# How do you write .00008935 in scientific notation?

Apr 3, 2016

$8.935 \cdot {10}^{-} 5$

#### Explanation:

Write out the powers of ten until you get to the number of $0$'s you need. You can do this in your head after a while.

$1 = {10}^{0}$
$.1 = {10}^{-} 1$
$.01 = {10}^{-} 2$
$.001 = {10}^{-} 3$
$.0001 = {10}^{-} 4$
$.00001 = {10}^{-} 5$

Now multiply a power of ten by a number between 1 and 10 to give you the number in the question.

$8.935 \cdot .00001 = .00008935$
$\therefore .00008935 = 8.935 \cdot {10}^{-} 5$