# How do you write 0.005 km mg in scientific notation?

May 24, 2018

$5.0 \times {10}^{-} 3 k m$

#### Explanation:

Express $0.005$ as a number between $1 \mathmr{and} 10.$

$5.0$

Count how many places, you moved the decimal point to do this.

It was moved $3$ places to the right which gives you $- 3$ as the power for $10$.

${10}^{-} 3$

Therefore $5.0 \times {10}^{-} 3$.

Note: If you are converting a number such as $5000$ to scientific notation, again express it as a number between $1 \mathmr{and} 10$ but because you have moved the decimal point to the left, the power of 10 is positive.

$5.0 \times {10}^{3}$