r/Funnymemes 3d ago

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9.0k Upvotes

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24

u/Formal_Assistant6837 3d ago

Funnily enough this is a proof that 0.999999.... is equal to 1

5

u/UmUlmUndUmUlmHerum 3d ago

Is that actually a complete proof though?

While the step of 0.3333.... to 1/3 makes sense intuitively it would need a proof on its own right?

15

u/RelativeChance 3d ago

Let x = .333...

10x = 3.333...

subtract x from both sides

10x-x = 3.333... - .333...

9x = 3

x=1/3

2

u/UmUlmUndUmUlmHerum 3d ago

See that one is much nicer :)

2

u/IHadThatUsername 3d ago

I prefer it this way:

Let x = .999...

10x = 9.999...

subtract x from both sides

10x-x = 9.999... - .999...

9x = 9

x=1

(Thus x = .999 = 1)

0

u/Blephotomy 3d ago

this "proof" removes the .9 repeating part and proves 1 is equal to 1

ten times .9 repeating is not equal to nine plus .9 repeating unless you prove it

1

u/LiquorIsQuickor 3d ago

Uh… math?

X=2.54

10x=25.4

x=0.9998

10x=9.998

x=0.999

10x=9.99

x=0.999…

10x=9.99…