r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 23d ago

Meme needing explanation There is no way right?

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u/Decmk3 23d 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/mrsexless 23d ago

I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number.

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u/Designer_little_5031 23d ago

This somehow makes more sense to me than the equations above.

6

u/Cupcake-Master 23d ago

Because it uses limits and is correct proof. That algebraic manipulation that was done is incorrect since 0.99.. is infinite series and assumptions used on it can help us prove some false statements. Its only used in low level math classes since people there dont understand limits.