Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? show your work

the diameter of the average cell in the human body is 1 x 10-5 meters

This is a conversion problem (meters to nanometers) so all you do is use the values given to you in the question.

We know that 1 meter = 1*10^9 nanometers, meaning that for every one meter is also 1*10^9 nanometers and vice versa. So we can set up the "train tracks"
[
tex] \frac{1*10^9 nanometers}{1 meter} * (1*10^-5 meters) [/tex]
I set it up that way because it cancels out the units "meters" since 1 meter is in the denominator and the other meter is in the numerator.

Then I'll be left with: 
Now we can solve as is.