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

1 Answer
Nov 6, 2015

3g

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 xx .001 kg

Now we multiply it out to get

.003 kg

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

(.003kg)/1 xx (1000g)/(1kg)

Now we can cross multiply:

(.003cancel(kg))/1 xx (1000g)/(1cancel(kg))

or just

.003/1 xx (1000g)/1

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

.003 xx 1000g

This can be simplified to just

3g