i still find it amazing how rounding off figures can change the answer so much (i see similar things happen in my chemistry class. same calculations, but different rounding and the answers seem worlds apart). i guess the more figures you use the more accurate the answer
You might find the study of significant figures interesting. The reality is, we're often too lazy to relize the impact of the amount of figures we use in our estimations, assuming that they will remain consistant. Functions like $\displaystyle sinx$, $\displaystyle e^x$, and even to an extent $\displaystyle ln(x)$ and $\displaystyle \sqrt x$, are significantly impacted by the number of digets we round off at with $\displaystyle x$.
yeah, i see what you mean. and now that i think about it, it becomes painfully obvious. with $\displaystyle e^x$ for example. since the funciton grows exponentially, a small change in x results in a relatively huge change in y. so in that case, rounding off the x-values has a significant effect on the value of the function (given by the y-value)