Author Topic: .99999999 infinity = 1? (Read 11321 times)

Camping_carl · « **on:** November 05, 2006, 09:53:59 am »

does .99999999999 infinity = 1

bja888 · « **Reply #1 on:** November 05, 2006, 09:54:40 am »

Quote from: Camping_carl on November 05, 2006, 09:53:59 am

does .99999999999 infinity = 1

Haven't I seen this topic somewhere?

Camping_carl · « **Reply #2 on:** November 05, 2006, 09:57:01 am »

yes i have started it on the lue but still have not got a intelligent answer.

Commander Kitsune · « **Reply #3 on:** November 05, 2006, 09:58:09 am »

No. even though it goes on for infinity it never reaches an absolute 1. Unless you round up, but that defeats the whole purpose.

bja888 · « **Reply #4 on:** November 05, 2006, 10:00:46 am »

This topic was posted before I sware.

Commander Kitsune · « **Reply #5 on:** November 05, 2006, 10:02:31 am »

Probably in the past, does it really matter? If it was posted Carl will get an answer, then it will be locked. If not people will argue here until someone gets tired of argueing.

bja888 · « **Reply #6 on:** November 05, 2006, 10:04:20 am »

Quote from: Commander Kitsune on November 05, 2006, 10:02:31 am

Probably in the past, does it really matter?

Only to prove I'm not crazy.

PANZERCATWAGON · « **Reply #7 on:** November 05, 2006, 10:05:43 am »

SHUTS UP just round to one for gods sake. The reason all of our maths is screwed is because the stupid guy that invented our number system made it like it is today, which causes problems with things like .999 and infinity. If only they had done it properly and thought about it before screwing it all up and making it impossible to calculate certain things

Nfsjunkie91 · « **Reply #8 on:** November 05, 2006, 10:07:47 am »

.99999 infinity approaches 1 but never gets there. I think its awesome. Approaching something but never ever getting there.

Iridescent · « **Reply #9 on:** November 05, 2006, 10:07:59 am »

Technically 0.9 recurring + 0.1 recurring = 1
However when doing maths it is acceptable to write 0.9 recurring = 1

PANZERCATWAGON · « **Reply #10 on:** November 05, 2006, 10:10:13 am »

Quote from: Nfsjunkie91 on November 05, 2006, 10:07:47 am

I think its awesome. Approaching something but never ever getting there.

Story of my life

Oh yeah, and CC you STILL DIDN'T announce the winner of the sig competition

mar77a · « **Reply #11 on:** November 05, 2006, 10:32:05 am »

Without rounding up, 0.99~ is equal to one. You see, all integer numbers can be written in two ways, lets take 1 for example:

1.00000~
0.9999~

Em, remember how to turn numbers with infinite periodic decimals into fractions?

Code: [Select]

0.444444~ =  4/9
0.323232~ =  32/99

Well, do that with 0.9999~

Code: [Select]

0.9999999~ =   9/9 = 1

No need to know and understand the idea of limit, just read the explanation above.

The Bone Collector · « **Reply #12 on:** November 05, 2006, 10:35:06 am »

Quote from: Syd on November 05, 2006, 10:32:05 am

Without rounding up, 0.99~ is equal to one. You see, all integer numbers can be written in two ways, lets take 1 for example:

1.00000~
0.9999~

Em, remember how to turn numbers with infinite periodic decimals into fractions?

Code: [Select]
0.444444~ = 4/9 0.323232~ = 32/99
Well, do that with 0.9999~

Code: [Select]
0.9999999~ = 9/9 = 1
No need to know and understand the idea of limit, just read the explanation above.

Bloody educated nerd....

Keron Cyst · « **Reply #13 on:** November 05, 2006, 10:46:57 am »

I've seen people try to prove this via math on other forums where the same subject sprung up. I've also seen people successfully prove that 1 = 2. Hint, hint?

It's like trying to get to "tomorrow" without a time-machine.

@Syd's post:
why the heck is 0.44-- = 4/9?! That should be 4/10

Kazuki · « **Reply #14 on:** November 05, 2006, 10:55:35 am »

Quote from: Iridescent on November 05, 2006, 10:07:59 am

Technically 0.9 recurring + 0.1 recurring = 1
However when doing maths it is acceptable to write 0.9 recurring = 1

That's incorrect. 0.999~ + 0.111~ does not equal 1. However, 0.999~ + 0.00~1 does. The reason that this is such an issue in mathematics is the difference in significance of 0.999~ in graphs and integers. You see, in a graph, 0.999~ would be considered an asymptote; a function approaches either x = 1 or y = 1 but never really gets there. However, when dealing with integers and rational numbers, the method used would be the one that Syd gave above, especially because a rational number is any number that can be written as a fraction of integers, and an integer itself is classified as a rational number. ;D

Edit: In response to Keron's post:

No, 0.4 would equal 4/10. There is a mathematical theorem that states that 0.x~ = x/9 and 0.xyxy~ = xy/99, and so on. The numbers after the decimal that repeat are given as a fraction over a number of 9's corresponding to the number of repeating numbers. For example:

0.42984298~ = 4298/9999
0.6~ = 6/9 = 2/3

Dascoo · « **Reply #15 on:** November 05, 2006, 11:01:16 am »

But it's .99999999999, not 1. So techinically, It's .9999999999, not 1, because you didn't say it was 1.

Kazuki · « **Reply #16 on:** November 05, 2006, 11:12:13 am »

<Kazuki> Wow.
<Kazuki> I feel like stapling Dascoo to the ceiling by his balls.
<Kazuki> I think he just posted in that 0.999~ = 1 topic without reading ANY of it.

That's what people have been arguing for the first half of this thread. :X

Iridescent · « **Reply #17 on:** November 05, 2006, 11:15:18 am »

Oh yeah, Kazuki I simply made a typo there.
Yeah I meant what Kazuki said, I can't be bothered to quote it.

Plonkoon · « **Reply #18 on:** November 05, 2006, 11:26:39 am »

.99999999--> will continually get closer to 1, but never reach it. draw a graph of y=1/x to see a visual example.

Wolf_Man · « **Reply #19 on:** November 05, 2006, 11:36:06 am »

Okay if this was rounding them then just .9 or even .999999999999999999999999999 would be = to 1,but if it was no rounding, then .9 would be closest to one then the more 9's you get the farther you get from a one

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Author Topic: .99999999 infinity = 1? (Read 11321 times)