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What's something that sounds made up, but is completely true? (kbin.social)
submitted 1 year ago by TonyHawksPoTater@kbin.social to c/AskKbin@kbin.social
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I'll start: The Red Hot Chili Peppers are three years older than Guns N' Roses.

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[–] DrYes@kbin.social 3 points 1 year ago* (last edited 1 year ago)

While it's easy to prove rigorously I think the easiest way to think about it is to think what number/numbers could go between 0.9 repeating and 1.
I guess that it also requires a second thought experiment that if no numbers can go between two numbers, those two numbers must be the same.

edit: this might be even easier:

1/3 = 0.333... -> multiply both sides by 3
3/3 = 0.999...
1 = 0.999...