Proof

[Shashakiro]

Re: Proof

".9 repeating" means a decimal point with an infinite number of 9's after it, mathematically...it has nothing to do with ACTUAL repeating, or rates, or anything Reach mentioned...it just means that the pattern (which, in this case, is a single 9) is duplicated infinitely.

In any case, whatever semantics you want to use, it's equal to 1. Anyone saying otherwise doesn't actually know what they're talking about.

[Squeek]

Re: Proof

Shash, it's not.

You know, anything multiplied by one is the original number? You multiply something by 0.99999999999999999999 repeating and you're not going to get the original number.

GOOD NIGHT.

Edit: Since you're not going to believe me.

Multiply it by one once? No change. The original number is the same as the answer. Multiply by 0.9-, almost the same. The change would be so insignificant that nobody woulc care.

Multiply it by one AN INFINITE NUMBER OF TIMES? NO CHANGE. The original number is the same. Multiply by 0.9-. CHANGES. MANY.

[Afrobean]

Re: Proof

Squeek.

You're saying that 3/3 != 1.

[Squeek]

Re: Proof

What? When?

I said that 0.9 repeating is not the same as one. I said nothing about division.

What are you talking about Afro. Please explain, because you're not making any sense.

Edit: If you want to divide, let's divide.

1/1. Do it an infinite number of times. Still 1.

0.9- / 1. Do it an infinite number of times. Not 1.

Edit 2: You know what, screw CT. I'm apparently always wrong anyway, so I'll just stop posting here. Good luck keeping threads moderated.

[Afrobean]

Re: Proof

.9 repeating is equal to .3 repeating * 3

Basically:

3 * (3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + ....

We also know that .3 repeating ( 3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) is equal to 1/3. Therefore, 3 times 1/3 (or .3 repeating...) is equal to 3/3 or 1 (or .9 repeating).

I don't know if I worded that right, but yeah whatever. Basically .9 repeating is equal to 3/3 and 3/3 is equal to 1.

[Squeek]

Re: Proof

According to the Wiki page for this, the problem is that the word is "equals", which is a math term.

Math and English don't get along. Put in an "EXACTLY EQUALS". Watch how well it works.

Mathematical equals means the difference is negligible.

Another thing I noticed on the Wiki page was an interesting point that I agree with even though someone tries to prove it wrong. 0.9 repeating is not a number until you stop adding nines. It's just an idea; a concept. Just like how infinity is not a number, you cannot use infinity in a decimal to make a number.

Case in point: I was going to make a program in Java to prove that multiplying a number by 0.9 repeating a billion times changes the number, but I can't put in an infinite number of nines.

[Afrobean]

Re: Proof

Are you saying then that I'm wrong in this:

3 * (3/10 + 3/100 + 3/1000 + .... + 3/10^n + ....) = 9/10 + 9/100 + 9/1000 + .... + 9/10^n + ....

???

[Shashakiro]

Re: Proof

Shash, it's not.

Yes, it is.

You know, anything multiplied by one is the original number? You multiply something by 0.99999999999999999999 repeating and you're not going to get the original number.

Yes, you are.

Multiply by 0.9-, almost the same. The change would be so insignificant that nobody woulc care.

Assuming your dash means repeating, then it's actually going to be exactly the same. No insignificant difference. EXACTLY THE SAME.

Multiply it by one AN INFINITE NUMBER OF TIMES? NO CHANGE. The original number is the same. Multiply by 0.9-. CHANGES. MANY.

1 to the infinity power is not actually 1, it's undefined. So is .9 repeating to the infinity (of course, since it's the exact same thing).

Infinity is a pretty weird thing.

[Squeek]

Re: Proof

Put 0.9 repeating infinitely into a calculator please =)

I'll believe it's 1 in theory but you cannot put that theory into practice because infinity is not a number.

Afro, I can't even follow your math, so I'm not paying attention to it, ok bye.

[Afrobean]

Re: Proof

Just because it's not a finite number which can be used it mathematic operations doesn't make my statement in my previous post invalid.

[Squeek]

Re: Proof

I don't know what your statement is, so...

Hi afro.

You all got me, I said 0.9 repeating equals one in theory. But even knowing that, you can't use 0.9 repeating infinitely, so WHY THE CRAP IS THIS EVEN AROUND.

Same with all threads. If what Laharl said last page about proof being objective is true, then why do we even have a CT forum?

[Afrobean]

Re: Proof

If what Laharl said last page about proof being objective is true, then why do we even have a CT forum?

Because arguing is fun

Really, that's the only reason for it. Sure, you can try to proove things, but nothing can be proven to be objectively true because of the nature of human's perception of reality. It's really just for fun.

[GuidoHunter]

Re: Proof

Infinity is a pretty weird thing.

Infinity is just a term used to mean "a really ****ing big number".

--Guido

http://andy.mikee385.com

[spyke252]

Re: Proof

Put 0.9 repeating infinitely into a calculator please =)

Put all of the digits of Pi, e, the sequences of sine, cosine, etc. And I'll think about it.

Did you never notice that though we cannot have all of the (Once again, infinitely repeating) digits of pi, we still use it?

OffTopic: Please don't leave. It doesnt matter if you're wrong, everyone is at one time or another. You seem like a nice guy, and if you leave, we will lose a valuable member of CT... =(

[Afrobean]

Re: Proof

Infinity is just a term used to mean "a really ****ing big number".

--Guido

http://andy.mikee385.com

No infinity is more than a really ****ing big number.

If that's all it was, it would have a finite value.