How do you use metric prefixes?

1 Answer
Jun 10, 2017

Hopefully correctly.........

Explanation:

mL = 10^-3*L;

mus = 10^-6*s;

km = 10^3*m.

A good illustration of this is the strict use of dm^3 in preference to "litres". Now 1*m^3 is an absurdly large volume, and if you ever mix and lay 5-6*m^3 of concrete that is a good day's hard work.

Back to the problem, 1*L-=1*dm^3; and d="deci"=10^-1. And thus 1*dm^3-=(1xx10^-1*m)^3-=10^-3*m^3-=1/1000*m^3 as required.

And so...............

6.37xx10^-2*L=6.37xx10^-2*cancelLxx10^3*mL*cancel(L^-1)-=63.7*mL

Agreed?