# How do you write the number in scientific notation 0.00000193?

Nov 30, 2016

$= 1.93 \times {10}^{-} 6$

#### Explanation:

Scientific notation consists of a number between 1 and 9 multiplied by a power of 10.

Count how many places the decimal point must be moved to be between the 1 and the 9.

If you move the point to the right. the index get smaller because you are dividing by 10.

If you move the point to the left the index get bigger because you are multiplying by 10.

$0 \textcolor{red}{.000001} 93 = 1.93 \times {10}^{\textcolor{red}{- 6}}$

You could also change the decimal to a fraction first.

$0.00000193 = \frac{193}{100000000} = \frac{193}{10} ^ 8$

$= 193 \times {10}^{-} 8$

$= 1.93 \times {10}^{2} \times {10}^{-} 8$

$= 1.93 \times {10}^{-} 6$