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[Hanslanda]

Fucking math, why don't you make sense?

[Valid_Dark]

I just assume 0.999... is identical to 1 about 99.999...% of the time.

thats a good assumption.

[TheProphet]

Fucking math, why don't you make sense?

Because logic.

[ShoesandHats]

I don't know how we got into a discussion about whether or not .999 repeating is equal to one, but here's my explanation as to why it is:

1/3 is equal to .333 repeating, and .333 repeating times 3 is .999 repeating. 1/3 times 3 is 3/3, otherwise known as 1. So there.

And now hopefully back to discussion about Skyrim. Nevermind me, I, for whatever reason, thought that this was the TES:V discussion thread.

[misko27]

Oh hell I did this in math a while ago. Hated everything about it.
 
But unfortunately the mathmatical reasoning is sound. I think. As I remember. The question about the logic versus the math about it is for some reason actually quite popular on the internet, despite being somewhat obscure.

[MagmaMcFry]

The best way to think about it is that "1" is just a name of a number, not the number itself (which is an abstract concept), and "0.99999..." is just another name for the same number, the same way as "2.5" refers to the same number as "5/2" or "65/26" or "0.4 + 2.1". So calculation is basically just the process of finding a simpler name of a number, given a more complicated one.

[Valid_Dark]

I don't know how we got into a discussion about whether or not .999 repeating is equal to one, but here's my explanation as to why it is:

1/3 is equal to .333 repeating, and .333 repeating times 3 is .999 repeating. 1/3 times 3 is 3/3, otherwise known as 1. So there.

And now hopefully back to discussion about Skyrim.

I don't remember anyone saying 0.999... wasn't prove-able to 1.

[ShoesandHats]

I don't know how we got into a discussion about whether or not .999 repeating is equal to one, but here's my explanation as to why it is:

1/3 is equal to .333 repeating, and .333 repeating times 3 is .999 repeating. 1/3 times 3 is 3/3, otherwise known as 1. So there.

And now hopefully back to discussion about Skyrim. Blargh blargh me being in wrong thread

I don't remember anyone saying 0.999... wasn't prove-able to 1.

But the mad ocelot god in my head did! Sometimes he gets a little riled up, and I have to calm him down.

[Skyrunner]

What's the topic right now? o_O I can't get it.

Valid_Dark: I'm not even sure 0.000...1 means anything. Wouldn't that just be 0? :/

[Flying Dice]

What's the topic right now? o_O I can't get it.

Valid_Dark: I'm not even sure 0.000...1 means anything. Wouldn't that just be 0? :/

That's more or less what they're arguing about.

[ShoesandHats]

I don't know how we got into a discussion about whether or not .999 repeating is equal to one, but here's my explanation as to why it is:

1/3 is equal to .333 repeating, and .333 repeating times 3 is .999 repeating. 1/3 times 3 is 3/3, otherwise known as 1. So there.

And now hopefully back to discussion about Skyrim. Look at me, I posted in the wrong thread but it's still (kind of) valid!

I don't remember anyone saying 0.999... wasn't prove-able to 1.

But the mad ocelot god in my head said that! He gets rowdy sometimes.

[Skyrunner]

Here:
Let's say 0.000 ... 1 is an infinite number of zeroes followed by a 1. It can be written as

lim_n->∞(0.1^{n - 1})

since 0.1² is 0.01, ie 2 - 1 zeroes followed by a one, and 0.1⁶ is 6-1 zeroes followed by a one. Infinity isn't really a number, so we have to use the limit to determine the value.

The limit approaches 0. As the number of zeroes increase, the number converges to 0. If there is an infinite number of zeroes, the number equals zero.

Therefore, 0.000...1 = 0.

...I'm not quite sure if this answers Valid_Dark.

[Valid_Dark]

oh, I didn't have a question, I was just saying stuff.

I know there are ways to prove that it equals 0, but I disagree with that statement. 
It's infinitely small, smaller than you can possibly imagine, but that doesn't make it nothing.

I know you can do it, I believe in you all,
a number's a number, no matter how small.

[Putnam]

oh, I didn't have a question, I was just saying stuff.

I know there are ways to prove that it equals 0, but I disagree with that statement. 
It's infinitely small, smaller than you can possibly imagine, but that doesn't make it nothing.

I know you can do it, I believe in you all,
a number's a number, no matter how small.

i think you're describing something entirely different here

You see, you are correct... if you're working with hyperreal numbers. Which we're not.

[Valid_Dark]

oh, I didn't have a question, I was just saying stuff.

I know there are ways to prove that it equals 0, but I disagree with that statement. 
It's infinitely small, smaller than you can possibly imagine, but that doesn't make it nothing.

I know you can do it, I believe in you all,
a number's a number, no matter how small.

i think you're describing something entirely different here

You see, you are correct... if you're working with hyperreal numbers. Which we're not.

Yeah thats pretty much what I was talking about.