# How do you simplify 3.0 times 10^-3 kg?

Nov 6, 2015

$3 g$

#### Explanation:

Hello!

Assuming that you mean get rid of the scientific notation, this is how you would 'simplify' it.

First we want to write out the decimal form:

$3.0 \times .001 k g$

Now we multiply it out to get

$.003 k g$

Next we want to convert this to grams to get rid of the decimal.

$\frac{.003 k g}{1} \times \frac{1000 g}{1 k g}$

Now we can cross multiply:

$\frac{.003 \cancel{k g}}{1} \times \frac{1000 g}{1 \cancel{k g}}$

or just

$\frac{.003}{1} \times \frac{1000 g}{1}$

You can remove the 1's on the bottom because dividing by one is the same as just the number.

$.003 \times 1000 g$

This can be simplified to just

$3 g$