# How do you write 0.0000563 in scientific notation?

Feb 11, 2016

$5.63 \cdot {10}^{-} 5$

#### Explanation:

Scientific Notation places the first non $0$ digit immediately to the left of the the decimal point.

If the original numbe (in this case 0.0000563 ) is less than 1, then you are increasing the size, so must divide by 10 for each place the decimal point moves right.
In this case 5 places.

dividing by 10 5 times is represented by ${10}^{-} 5$

hence the answer $5.63 \cdot {10}^{-} 5$