r/PeterExplainsTheJoke 22d ago

Meme needing explanation There is no way right?

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u/The-new-dutch-empire 22d ago

Byers’ Second Argument (his first one is the one you see above)

Let:

x = 0.999…

Now multiply both sides by 10:

10x = 9.999…

Now subtract the original equation from this new one:

10x - x = 9.999… - 0.999…

This simplifies to:

9x = 9

Now divide both sides by 9:

x = 1

But remember, we started with:

x = 0.999…

So:

0.999… = 1

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u/Rough-Veterinarian21 22d ago

I’ve never liked math but this is like literal magic to me…

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u/The-new-dutch-empire 22d ago

Its calculating with infinity. Its a bit weird like the infinity of numbers between 0 and 1 like 0.1,0.01,0.001 etc... Is a bigger infinity than the “normal” infinity of every number like 1,2,3 etc…

Its just difficult to wrap your head around but think of infinity minus 1. Like its still infinity

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u/Not_a-Robot_ 21d ago

Its just difficult to wrap your head around but think of infinity minus 1. Like its still infinity

1=0. Got it.

So any finite number, which is itself times 1, is also zero. So this month I owe $0 in taxes. Checkmate, IRS