[neutralino]

There have been a few comments regarding this in the shoutbox recently, so I thought I'd start a thread to discuss the topic.

The question of whether 0.999..=1 is an age old problem, which I'm sure everyone encounters sometime in their life/education. The simple answer to the question is that, yes, they are the same, as they are simply two different decimal expansions which represent the same number. One can think of a decimal expansion as an infinite sum. For example, take the sum 0.999..=9/10+9/100+9/1000+... . This is a geometric series whose sum is one. Further, consider the decimal expansion for 1: 1=1+0/10+0/100+0/1000+... . This is also a geometric series whose sum is one.

I think that once we look at the problem in terms of infinite series, it is not surprising that two infinite series add up to the same finite value.

Any questions or comments are welcome.