1 = 0.9(9) the math glitch

[bAd a!m]

Not sure how to explain this, will do my best.

If you divide 1 by 3, you will get: 0.3(3) which is short form of 0.3333333333333333333333 an infinity of 3s

if you multiply that result by 3, you will get 0.9(9) which is short form of 0.9999999999999999999999 an infinity of 9s

Now, if 1 = 0.9999999999999999999999999999999999999999999999 it means we can subtract 1 from both sides and we get:
0 = -0.0(0)1 or -0.00000000000000000000000000000000000000000000...0000000001

Now, if this world would be a real place, such a thing would be impossible. You either have something, or you don't. If 0 is both 0 and -0.000000000000000001 at the same time, this is proof that nature has an error correction script running and this is proof the world is simulated.

Am I wrong? What did I miss?

[Fake]

Wait until you find out about the Chase infinite money glitch.

Your mind will be blown.

[Chaosolous]

It is real, there's no problem.

It has a 'problem' being represented as an integer that's conceivable to humans.

[V3LTA]

0 = infinite "-" and infinite "+"
Positive + negaative = neutral

[V3LTA]

Originally posted by Fake:

Wait until you find out about the Chase infinite money glitch.

Your mind will be blown.

Lmaoo😂😂

[bAd a!m]

Originally posted by Chaosolous:

It is real, there's no problem.

It has a 'problem' being represented as an integer that's conceivable to humans.

But our math works, we landed probes on the moon, on mars and on asteroids. So our glitched math is fine, however, "zero" is both zero and a small, very small value at the same time.

This can only work inside a simulation.

[Azza ☠]

( 1 / 3 ) x 3 = 1

A human will round it off, but a computer won't if it's all done in the same equalution. It's that infinity which a human error just can't calculate.

1 / 3 = 0.33333333333 (rounded)
0.33333333333 x 3 = 0.99999999999

[kbiz]

OP, approximate. Good enough - mostly.

[Othobrithol]

This is some Terence Howard level thinking.

[NW/RL]

The limit of 1/(10^n) as n approaches infinity is zero, the same way the sum of 9/(10^n) + 9/(10^(n+1)) approaches one as the number of terms approaches infinity. It's literally elementary calculus

[Swarmfly]

Base ten was a mistake.

[Quillithe]

You need to be careful when handling infinity.

Trying to write a decimal with 'infinite' 0s before a terminal 1 is not how decimals work.

Technically nonrepeating decimals like your number you're trying to imagine (irrational numbers) are usually defined as limits of rational numbers, filling in the 'gaps' you'd have otherwise.

And .1, .01, .001, etc. goes to 0

(Look up stuff about complete metric spaces and Cauchy sequences for more technical details)




But yeah, infinity is odd. The fact that there are the 'same infinite number' of rational numbers as whole numbers but 'more infinite' irrational numbers is also a nice introduction to it being weird.

I recommend White Light by Rudy Rucker as a fun casual sci-fi intro to infinity and...uhh...well I don't recommend it if you're underage I guess.

But it even brings up the Banach-Tarski paradox where you can make one solid ball into two solid balls of the same size with real numbers because c is a big infinity!

[SÜM1 i§IN myHead!!!]

what kind of dope you smoking?

Get REAL.

[the vampire of time and memory]

wait until you learn about limits

[A&A]

Quantum Physics :D

[Menzagitat]

Originally posted by YT @instituteofgamin:

Not sure how to explain this, will do my best.

If you divide 1 by 3, you will get: 0.3(3) which is short form of 0.3333333333333333333333 an infinity of 3s

Or to be more exact, you get 0.3(3) + 0.0(0)1 / 3
where the number of repetition of those (3) and (0) is equal.
Then you have no glitch.

Such approximations can lead to strange situations.
One is where 1+2+3+4+... = -1/12 which happens because they think they are allowed to shift everything a bit to the right to cancel terms. Shifting is an action which should not be "free".

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF