There's an example in my textbook about cancellation error that I'm not totally getting. It says that with a $5$ digit decimal arithmetic, $100001$ cannot be represented.
I think that's because when you try to represent it you get $1*10^5$, which is $100000$. However it goes on to say that when $100001$ is represented in this floating point system (when it's either chopped or rounded) it comes to $100000$.
If what I said above is correct, does $100001$ go to $100000$ because of the fact that it can only be represented like $1*10^5$?
If I'm completely off the mark, clarification would be great.