How do you use metric prefixes?

1 Answer
anor277
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?

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