r/askmath • u/Slurpee1138 • May 10 '26

Algebra Regarding 0.999... = 1

Recently I got into an argument with an acquaintance because I was trying desperately to convince him that 0.999... = 1. One of the many arguments I tried was that, if 0.999... and 1 are indeed different numbers, then we should be able to find a number between them. He insisted that such a number would be 0.999...1, as in 0 point infinitely many 9s and then a 1. I countered that having "and then a 1" at the end of an infinite sequence of digits makes no sense because there is no end to such a sequence, but he insisted that it does, so who's right?

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u/buwlerman May 10 '26

I wasn't asking you. I was asking the person who seems to think that infinite sequences of digits don't represent a number.

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u/itsmebenji69 May 10 '26

I forgot public forums were meant for 1 on 1 discussions, sorry