Really basic, simple concept question

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The discussion focuses on converting metric system SI units, specifically the conversion of density from grams per cubic centimeter (g/cm³) to grams per cubic meter (g/m³). The correct conversion of 2.7 g/cm³ is determined to be 2700 g/m³, as 1 g/cm³ equals 1000 g/m³. Additionally, the general rules for unit conversion are clarified, emphasizing the importance of understanding the relationship between units, such as 1 cm = 0.01 m and the implications for squared and cubed units.

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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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