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A comment on 0.999...= 1. Parent comment

Re:0.999...= 1 by saagarjha on Tuesday April 28, 2020 @04:33AM (#23004936)
> but 1/3 != 0.33333...

But the issue is that this is easy to verify experimentally via (in this case infinitely) long division that you can do by hand. So it’s hard to convince people of this.

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Re:0.999...= 1 by tomtomtom1 on Tuesday April 28, 2020 @05:08AM (#23005132)
but the long division algorithm never terminates.

why would it terminate at countable infinity?

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Re:0.999...= 1 by recursive on Tuesday April 28, 2020 @10:07AM (#23007087)
You can show that the long division algorithm is looping. Further, you can show that it will continue, for these inputs, to produce `3`s forever with no change in state. How could `...` be defined such that it wasn't 0.333...?
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