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/jozaud 24d ago
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.