Cybermonkey
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Registered: 22nd Sep 02
Location: Sydney, Australia
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http://upload.wikimedia.org/wikipedia/en/b/b8/999_Perspective.png
Edit - made in to a link so it doesn't skew the page.
[Edited on 25-10-2006 by Ian]
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CorsAsh
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Registered: 19th Apr 02
Location: Munich
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You're a maniac.
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Cybermonkey
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Registered: 22nd Sep 02
Location: Sydney, Australia
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Tommy
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Registered: 24th Aug 00
Location: Essex, Colchester
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No its not
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Cybermonkey
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Registered: 22nd Sep 02
Location: Sydney, Australia
User status: Offline
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quote:
Originally posted by LoudandLow
No its not
do you really want to argue? really? its a re-occuring decimal exactly equal to 1.
here, have some algebra
Another kind of proof more easily adapts to other repeating decimals. When a number in decimal notation is multiplied by 10, the digits do not change but the decimal separator moves one place to the right. Thus 10 × 0.999… equals 9.999…, which is 9 more than the original number. To see this, consider that subtracting 0.999… from 9.999… can proceed digit by digit; the result is 9 − 9, which is 0, in each of the digits after the decimal separator. But trailing zeros do not change a number, so the difference is exactly 9. The final step uses algebra. Let the decimal number in question, 0.999…, be called c. Then 10c − c = 9. This is the same as 9c = 9. Dividing both sides by 9 completes the proof: c = 1.
c = 0.999…
10c = 9.999…
10c − c = 9.999… − 0.999…
9c = 9
c = 1
The last step — that lim 1/10n = 0 — is often justified by the axiom that the real numbers have the Archimedean property. This limit-based attitude towards 0.999… is often put in more evocative but less precise terms. For example, the 1846 textbook The University Arithmetic explains, ".999 +, continued to infinity = 1, because every annexation of a 9 brings the value closer to 1"; the 1895 Arithmetic for Schools says, "...when a large number of 9s is taken, the difference between 1 and .99999… becomes inconceivably small"
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drax
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Registered: 5th Feb 05
Location: Sittingbourne, Kent
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But surely... it will never be 1 because there will still be just as many 0.01's recouring between 1 and 0.9~infinate
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Ian
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Registered: 28th Aug 99
Location: Liverpool
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quote:
Originally posted by 1895 Arithmetic for Schools
when a large number of 9s is taken, the difference between 1 and .99999… becomes inconceivably small
But nevertheless present.
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ShEp
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Registered: 9th Aug 05
Location: Dingwall, Highland
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quote:
Originally posted by Ian
quote:
Originally posted by 1895 Arithmetic for Schools
when a large number of 9s is taken, the difference between 1 and .99999… becomes inconceivably small
But nevertheless present.
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Paul_J
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Registered: 6th Jun 02
Location: London
User status: Offline
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quote:
Originally posted by ShEp
quote:
Originally posted by Ian
quote:
Originally posted by 1895 Arithmetic for Schools
when a large number of 9s is taken, the difference between 1 and .99999… becomes inconceivably small
But nevertheless present.
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Tommy
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Registered: 24th Aug 00
Location: Essex, Colchester
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How sad u actually bothered explaining it
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Cybermonkey
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Registered: 22nd Sep 02
Location: Sydney, Australia
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quote:
Originally posted by LoudandLow
How sad u actually bothered explaining it
how sad you actually bothered replying in the first place. YOU SUCK
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Steve
Premium Member
Registered: 30th Mar 02
Location: Worcestershire Drives: Defender
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page not there?
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Cybermonkey
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Registered: 22nd Sep 02
Location: Sydney, Australia
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PMSL i might just delete this thread 
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Hammer
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Registered: 11th Feb 04
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Uber geek day
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Tommy
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Registered: 24th Aug 00
Location: Essex, Colchester
User status: Offline
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quote:
Originally posted by Cybermonkey
quote:
Originally posted by LoudandLow
How sad u actually bothered explaining it
how sad you actually bothered replying in the first place. YOU SUCK
Yes i suck off course i do. Am i the geek that is posting as hammer said Uber Geek stuff ?
Im the one that thought ide see how far u would go to prove a point. 
Thanks for the enjoyment though
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John
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Registered: 30th Jun 03
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I can write a proof stating that 555 is equal to 1.
Doesn't make it correct.
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