<p>I agree. Thinking about adding a one to the end of all of those zeroes is not a good idea. Rather, the limit that defines such a number would be the Sum of 10^-n starting with n=1. Clearly this series of partial sums is .1 .01 .001 .0001 and tends to .00000…0001 whatever that means. But it also tends to 0. Thus what we think of as .0000…00001 is actually zero.</p>