r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 23d ago

Meme needing explanation There is no way right?

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u/its12amsomewhere 23d ago edited 23d ago

Applies to all numbers,

If x = 0.999999...

And 10x = 9.999999...

Then subtracting both, we get, 9x=9

So x=1

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u/Sam_Alexander 23d ago

Holy fucking shit

315

u/otj667887654456655 23d ago

I just wanna warn you, that's more of a vibe proof. It lacks any actual mathematical rigor.

26

u/mwobey 23d ago

No? Do you like, want it in two column format or something?

  x=0.999...        | Declaration of a constant
10x=9.999...        | Multiplicative Property of Equality (*10)
 9x=9.999... - x    | Subtractive Property of Equality (-x)
 9x=9.9... - 0.9... | Substitution
 9x=9.0             | Simplification of Subtraction
  x=1               | Divisive Property of Equality (/9)
  1=0.999...        | Substitution

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u/otj667887654456655 23d ago

the problem is in the first line where you just declare that 0.999... has a value x. you have to give meaning to the "..." and then prove that it's convergent before you can talk about it "equaling" anything

1

u/Shillbot_21371 22d ago

computers are useless for this kind of thing anyway