## Problem.

Mathematics and Science; the subtle and ubiquitous arts

### Problem.

I saw this on another forum, and had a "OMGWTFBBQ" moment.

Now I'm not the best at math, but this is sound reasoning to me, and I was wondering if it makes sense to you.
"..." = repeating number

1/9 = .111111111...
9 * 1/9 = 9 * .111111111...
1 = .99999999...

~Cent
Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far, the Universe is winning. -Rick Cook

centip3de

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### Re: Problem.

Stealing things from Hack Talk?

Anyhow, this is proven. There's a Wikipedia article on it.
"Well it isn't my fault. I shouldn't have been allowed to do something to crash it." "No, you shouldn't have been allowed to buy a computer in the first place"
Phantom Wolf
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### Re: Problem.

Phantom Wolf wrote:Stealing things from Hack Talk?

Anyhow, this is proven. There's a Wikipedia article on it.

Yus sir.

If this is true, then what would 1 + 1 = ?
Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far, the Universe is winning. -Rick Cook

centip3de

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### Re: Problem.

That reminds me with my 4th grade year. I used an old 4 func. calculator to get the circumference of a circle. The calculator never came up with a whole number answer. Unlikely calculators of the day don't, why ? Because they are capable of doing some approximation and fractions work. The idea is, we humans use numbers of a base of 10 digits, and each digit then may have a place value varying from 0x10^index of digit from the decimal point to 1x10^index of digit from the decimal point (computers use binary or 2 digits, which are 1 and... well a digit place can't value 2 as it can't value 10 in our numbers). Then, 123 = 1x10(^exponent)2 +2x10^1 +3x10^0 =100 + 20 + 3.

The problem here is that you don't have a digit which equals 1/9 of 10. That results in an infinite number of digits because with each 1 you add to before the decimal point, the value becomes closer to 1/9 , yet it doesn't equal 1/9 which needs a digit wich doesn't exist between 0 and 10. When using a fraction you put your own base represented in the denomenator which is 9. So if you use a decimal number (which can be represented in a fraction like this ?/1x10^decimal places) no digit can represent a 1/9 except 0.1111.../10.

To sum that in few words, 0.1111... =1/9 but
0.1111... is too long to read till it reaches an exact value of 1/9 since it's of an infenite long

NOTE: please don't take this too seriously when reading (I should've said that at the beggining) cuz I wrote that out of my own mind and ideas. It's somehow similar ofcourse to that wiki article but my post isn't in exact scientific words. I'm still a high school grader anyway.
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Prince Of The Elite
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### Re: Problem.

Prince Of The Elite wrote:I'm still a high school grader anyway.

I think you'll find the majority (even myself) of people here are still in High School. Also, it's: "I'm still in High School anyway." not "I'm still a high school grader anyway."
Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far, the Universe is winning. -Rick Cook

centip3de

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### Re: Problem.

centip3de wrote:
Prince Of The Elite wrote:I'm still a high school grader anyway.

I think you'll find the majority (even myself) of people here are still in High School. Also, it's: "I'm still in High School anyway." not "I'm still a high school grader anyway."

Yeah i literally read through that whole post, and the one thing that annoyed me was that last sentence.
Anyway, I'd have to agree with you Prince. Though i did skim.. But that's more opinionated than anything. I'm in no way a mathematician, so I'd just role with Wikipedia.
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mShred

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### Re: Problem.

I just meant that I've never read anything about this topic. That wiki article was the first one, I even read only third of it (or 0.333... ). I usualy read lengthy articles on sessions. What I intended to say is "don't care if I used wrong or not accurate words. The molding or phrasing is not scientific so go read that wikipedia article". So it's not about the grade. About that terrible english structure, I have nothing to say but, will try to type better.
~~ ""Getting information off the internet is like taking a drink from a fire hydrant"" ~~

Prince Of The Elite
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### Re: Problem.

lim as .999 repeating goes to infinity = 1
1=1
you can't just say .999 repeating is .9999999999
bling1009
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### Re: Problem.

bling1009 wrote:lim as .999 repeating goes to infinity = 1<br>1=1<br>you can't just say .999 repeating is .9999999999

While I do agree with you, and in my eyes 1 = .9999999 will return 0 or FALSE. I would go as far as saying that, 1 ABOUT = .9999999 repeating. Please refrain from necroing old posts. It was settled and looks the the OP got a response in which he was satisfied. I'm going to lock this topic.

LoGiCaL__