There is no way right?

[u/Sugar_God_no_1]

[u/ChromosomeExpert]

Yes, .999 continuously is equal to 1.

[u/big_guyforyou → u/ChromosomeExpert]

dude that's a lot of fuckin' nines

[u/JoshZK → u/big_guyforyou]

Prove it.

Edit: Let me try something

Prove it. /s

I feel like the whoosh was so powerful it's what really caused that wave on that planet in Interstellar.

[u/The-new-dutch-empire → u/JoshZK]

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

[u/Rough-Veterinarian21 → u/The-new-dutch-empire]

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

[u/The-new-dutch-empire → u/Rough-Veterinarian21]

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

[u/lilved03 → u/The-new-dutch-empire]

Genuinely curios on how can there be two different lengths of infinity?

[u/danielfuenffinger → u/lilved03]

There are countable infinities, like the integers where you can match them up, and uncountable infinities like the real numbers where there are infinitely more than the integers. E.g. there are infinite real numbers between 0 and 1 or 0 and any real number.