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Author Topic: .999999999=1  (Read 13051 times)

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Offline cake

.999999999=1
« on: November 13, 2006, 05:17:35 pm »
Its true look at the facts if there is not a number in between it its there for the same number! Lets discuss that right here. I think its the same also on a calculator if you put in .99999999999= it will say 1. If the 999999999 goes on foreever it is 1 in a way if you think of the 9 never stoping. Post your opinions/comments/ect.

Offline douglas

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Re: .999999999=1
« Reply #1 on: November 13, 2006, 05:47:58 pm »
Yes, it's a mathematical fact - the proof is somewhere in my 2nd year maths notes.  Not sure how I'm supposed to have an opinion on it though, other than computers doing that kind of rounding usually break (floating point precision errors ftl).
This topic has now been officially won by me.  Never mind, you might do better next time!
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Offline CosmicFalcon

Re: .999999999=1
« Reply #2 on: November 13, 2006, 05:51:13 pm »
Well done, you recited a mathematical identity. Go claim a BOAT.

*loc-  Oh wait. I never got red in a game so I am not a mod.

ps. tan x = sin x / cos x    SCANDAL
"A graph of cf's coolness as age increases would be exponential." - Stefan [14:26, 2008/08/23]
"I now realise that CF is complete and utter win." - Cruizer [13:46, 2009/10/23]

Offline Bilan

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Re: .999999999=1
« Reply #3 on: November 13, 2006, 05:55:16 pm »
n+n=2n


SHOCK
Did you not think I had a mind?

Offline CosmicFalcon

Re: .999999999=1
« Reply #4 on: November 14, 2006, 12:15:42 pm »
n+n=2n


SHOCK

Don't be stupid. Get out of my rhombus.
"A graph of cf's coolness as age increases would be exponential." - Stefan [14:26, 2008/08/23]
"I now realise that CF is complete and utter win." - Cruizer [13:46, 2009/10/23]

Offline F-Man

Re: .999999999=1
« Reply #5 on: November 14, 2006, 01:51:39 pm »
duh

1/3 * 3 = 1

1/3 = 0.333...
0.333... * 3 = 0.999...

Therefore 0.999... = 1

Offline Taco

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Re: .999999999=1
« Reply #6 on: November 14, 2006, 04:54:07 pm »
I never thought of it that way... >_>



Offline douglas

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Re: .999999999=1
« Reply #7 on: November 14, 2006, 05:50:23 pm »
0.3333... is equal to a third, but that assumption is the same as that 0.9999... is equal to one, so you can't prove one by the other.  I should go dig out the correct proof, but I really can't be bothered to plough through those notes again <_<
This topic has now been officially won by me.  Never mind, you might do better next time!
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Offline Blitz

Re: .999999999=1
« Reply #8 on: November 14, 2006, 07:06:59 pm »
Look at it this way. The calculator sez .999999999(etc.)=1 bcoz it cant handle that many decimals and is forced to round. Truly, as .999999(etc.) is so close that it may seem like one, you must take into note that there is the .000000(equal to however many 9s, which is infinite)1 between. if you've heard of zeno's paradox u might kno what im sayin. now please make the sonic center the sonic center, and stop discussing math!
Last thing i'd expect to post about 

Offline cake

Re: .999999999=1
« Reply #9 on: November 14, 2006, 07:16:26 pm »
I know but its Swigglez so we can... anyway I there is no number inbetween .9999999 and 1 they are the same numbers!!!

Offline douglas

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Re: .999999999=1
« Reply #10 on: November 14, 2006, 07:19:37 pm »
Look at it this way. The calculator sez .999999999(etc.)=1 bcoz it cant handle that many decimals and is forced to round. Truly, as .999999(etc.) is so close that it may seem like one, you must take into note that there is the .000000(equal to however many 9s, which is infinite)1 between. if you've heard of zeno's paradox u might kno what im sayin. now please make the sonic center the sonic center, and stop discussing math!
Last thing i'd expect to post about 
Not true, 0.99 recurring is mathematically equal to 1.
This topic has now been officially won by me.  Never mind, you might do better next time!
www.douglasgresham.co.uk - it's in the intarwebs, it must be true!

Offline CosmicFalcon

Re: .999999999=1
« Reply #11 on: November 15, 2006, 03:00:59 pm »
SilvertheAlmighty steals the 'dumbest in topic' award from the topic starter.

For more information, see http://en.wikipedia.org/wiki/0.999....
"A graph of cf's coolness as age increases would be exponential." - Stefan [14:26, 2008/08/23]
"I now realise that CF is complete and utter win." - Cruizer [13:46, 2009/10/23]

Offline Blitz

Re: .999999999=1
« Reply #12 on: November 15, 2006, 05:20:51 pm »
Zeno's Paradox:
A turtle is situated a certain distance from a tree. He makes several trips to reach the tree. In each trip, he covers 1/2 the distance left to the tree. How many trips will it take him?
This may seem irrelevant, but answer, and I'll show you.

Offline Stefan

Re: .999999999=1
« Reply #13 on: November 15, 2006, 06:52:46 pm »
if .9999 repeated = n, then 10 n = 9.9999999 repeated, right?

this makes 10n=9.9999999999 etc.

subtract n from each. You can do this becasue the subtraction property of equality.

9n=9 then. Divide each side by 9, as the division property of equality says we can.

n=1.


Offline yse

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Re: .999999999=1
« Reply #14 on: November 15, 2006, 07:59:46 pm »
Damnit. That was what I was thinking of but I couldn't remember how to get 10n to be what you wanted.

<3 Thorn.

Offline cake

Re: .999999999=1
« Reply #15 on: November 15, 2006, 08:51:16 pm »
That further tells why we are right it is a FACT not an opinion. Its the same as 0.33333 if you add that it will be .9999999999 but that will be the same as saying it is 1.

Offline Bilan

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Re: .999999999=1
« Reply #16 on: November 16, 2006, 02:50:16 am »
1010 x 1010 = 100.
Did you not think I had a mind?

Offline CosmicFalcon

Re: .999999999=1
« Reply #17 on: November 16, 2006, 02:21:53 pm »
Zeno's Paradox:
A turtle is situated a certain distance from a tree. He makes several trips to reach the tree. In each trip, he covers 1/2 the distance left to the tree. How many trips will it take him?
This may seem irrelevant, but answer, and I'll show you.

I am familiar with this paradox. It is not Zeno's only paradox, and I am also familiar with the others. This one, in particular, is mathematically flawed. The sum of the infinite series 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... etc is 1. The only case that it is any less than 1 is when you do not have an infinite number of terms. When it is less than 1, it will also be less than 0.999..., as there will be a finite number of decimals given the nature of each fraction (not to mention that 0.999... = 1).

Zeno's paradoxes are great, however if you are going to take them as mathematically and physically seriously as you seem to be, then you might want to steer clear of his paradox that states that there is no motion.
"A graph of cf's coolness as age increases would be exponential." - Stefan [14:26, 2008/08/23]
"I now realise that CF is complete and utter win." - Cruizer [13:46, 2009/10/23]

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