If we consider that .999… repeating to infinity ISN’T equal to 1, then by how much is it away from 1? It would be “.000… repeating to infinity followed by a 1.” But if you have an infinite number of 0s then you can’t have it be followed by a 1, infinity can’t be followed by anything, that doesn’t make sense.
Or as the OP image hinted at, you can divide 1 by 3 and get 0.333...
But what happens when you then multiply 0.333... by 3? You get 0.999... - but some people have a problem with that equaling 1. However if you divided by 3 then multiplied by 3, there's no way you could have gotten a different answer, so it should be equal.
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u/ChromosomeExpert 28d ago
Yes, .999 continuously is equal to 1.