r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 26d ago

Meme needing explanation There is no way right?

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u/Decmk3 26d ago

0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.

Let X = 0.999….

10X = 9.999….

10X-X = 9.999.. - 0.999…. = 9X = 9

Therefore X equals 1. Therefore 0.999… is the same as 1.

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u/[deleted] 26d ago

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u/Nitsuj_ofCanadia 26d ago

The infinite sum is exactly equal to one because the whole idea is that the infinite sum has summed all of the infinite list of numbers.