Really basic, simple concept question

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In summary, when converting between metric system SI units, the general rules are to use the conversion factors of 1cm = 0.01m and 1/cm = 1/0.01m. For example, to convert 2.7 g/cm^3 to g/m^3, it would be 2.7E-6 g/m^3 since the conversion factor for volume is 1/cm^3 = 10^6 m^3. However, it can be tricky when converting units that are not simply meters or grams.
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phys-lexic
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it's been a while since I've taken any math based classes (all chem and bio for the last few years)... kinda embaressing but what are the rules in converting metric system s.i. units?

i.e. with 2.7 g/cm^3 into meters

would it be .027g/m^3 or would it be 2.7E-6 g/m^3 (cuz i know it would be the second one with volume, but since it is a denomenator here I am not 100% sure)


... what are the general rules when converting units that aren't simply meter or grams, etc.
 
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It can be tricky.
1cm = 0.01m
so 1cm^2 = (0.01m)^2 = 0.0001 m^2
1/cm = 1/0.01m
1/cm^2 = 1/0.01m^2 = 1/0.0001 m^2
1/cm^3 = 1/0.01m^3 = 1/0.000001 m^3 = 1/10^-6 m^3 = 10^6 m^3
 

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