Simple Chemistry 1 Question

[TheGoodLife570]

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I have not worked on chemistry in over 4 years. I understand the basics of conversion between the metric system. If your going from a large unit to a smaller unit you would set up the conversion and multiply and if your going from a small unit to a larger unit, division would be used.

When I am converting using units of volume, such as cm^3 to m^3 it seems to be the opposite.

For example

10.6 kg/m^3 to g/cm^3

1000g 1m^3
-------- --------
1kg 100cm^3

Why is 100cm^3 on the bottom and not the top?

Its something very simple just having a blank

Thank You

 

[maybemed2013]

From the PR bk if you have Kg/m3 and want g/cm3 divide by 1000.
and if you have g/cm3 and want kg/m3 multiply by 1000.

 

[LianaStan]

Based off the logical process that you stated in your post, the reason is because m^3 is already on the bottom.

However, it would be wise for you to review dimensional analysis. It is not sufficient to just memorize that you multiply when converting from big to small (and vice versa); such shortcuts will come back to bite you in the end because they show a deficiency in deeper understanding.

Also, the conversion from m^3 to cm^3 is a factor of 1 x 10^6, not 1 x 10^2 .

 

[TheGoodLife570]

Based off the logical process that you stated in your post, the reason is because m^3 is already on the bottom.

However, it would be wise for you to review dimensional analysis. It is not sufficient to just memorize that you multiply when converting from big to small (and vice versa); such shortcuts will come back to bite you in the end because they show a deficiency in deeper understanding.

Also, the conversion from m^3 to cm^3 is a factor of 1 x 10^6, not 1 x 10^2 .

I mistyped that, meant to cube it.

Thank you for everyones input