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$"Density"$ $=$ $"mass"/"volume"$ $=$ $(8*g)/(2*cm^3)$ $=$ $4*g*cm^-3$

When we put the units into these sorts of calculations, it is an extra check on our accuracy. We try to calculate a , with reasonable units of $g*mL$ or $g*cm^-3$. We got an answer in $g*cm^-3$, which persuades us that we are not too far off. You can use this approach with physics problems as well. It is all too easy to make a mistake in the formula or even in the arithmetic.

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