I've learned that the rule for multiplication, when taking into account the significant figures, is as follows:
The final result should retain as many significant figures as there are in the original number with the least significant figures.
So, by that definition, if I has the mass of an object
= 4.237g and its volume
= 2.51 cm^3, then the density would be
1.69 g cm^-3. However, let's take an example in which we have the side of a cube given to be
25.6 which has 3 significant figures. Now let's find out its volume:
16777.216. Now if I wanna report my result with the least significant figures (3), I would get an answer
168 which is plain wrong.
I could use scientific notation, but even there, I would have the significant figures which are significant.
Could someone help me out by explaining me this rule's implication? Thanks.