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2 years ago :: Oct 06, 2011 - 2:27PM #1
homicidal_squirrel Date Joined: Jul 17, 2007 Posts: 20,495	Does 0.999(repeating¹) = 1? Why? _________________ 1 - I can't figure out how to do the little bar. If you know how, let me know. Nut Eating Resident Sociopathic Eye Forker 2346-strong Squirrel leigon of DOOM Squirrel Overlord of the House of Trolls Those who are too smart to engage in politics are punished by being governed by those who are dumber. ~Plato Politics is the art of looking for trouble, finding it whether it exists or not, diagnosing it incorrectly, and applying the wrong remedy. ~Ernest Benn The Democrats are the party that says government will make you smarter, taller, richer, and remove the crabgrass on your lawn. The Republicans are the party that says government doesn't work and then they get elected and prove it. ~P.J. O'Rourke "I actually held public office and I left the only way a politician should, in handcuffs." ~ Chael Sonnen It is difficult to get a man to understand something, when his salary depends upon his not understanding it! ~ Upton Sinclair Kicked Adam and Eve out of Missouri. Wears flip-flops in church buildings. Official troller of Kolob.
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2 years ago :: Oct 06, 2011 - 2:31PM #2
dirtyfrank Date Joined: Sep 8, 2007 Posts: 24,233	Yes and no. Depends on how you look at it, what you need it for and what theory you use to analyze it. In general though it's equal to 1. In most cases. But at the same time it is infinity smaller than 1 as well. Resident Grouch and Corrupting Influence A Monster Appears I'm Black and Blue how 'bout you?
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2 years ago :: Oct 06, 2011 - 2:37PM #3
Resurrection_Man Date Joined: Jun 7, 2011 Posts: 9,530	This is orwellian logic! 0.9 is 0.9, not 1. Might as well say 2+2=5. I swear. After newspeak we have newcalculus? Resident Socialist and Undying Troublemaker Martyr of Section 1, 2 and 4 Original Troll of the House of Trolls
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2 years ago :: Oct 06, 2011 - 2:42PM #4
dirtyfrank Date Joined: Sep 8, 2007 Posts: 24,233	He's not talking about 0.9. He's talking about 0.99999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999..... so on and so forth. and well I think you get the idea. Hopefully. Resident Grouch and Corrupting Influence A Monster Appears I'm Black and Blue how 'bout you?
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2 years ago :: Oct 06, 2011 - 2:44PM #5
Resurrection_Man Date Joined: Jun 7, 2011 Posts: 9,530	0.99999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999 is 0.99999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999- 99999999999999999999999999999999999999999999999999999999999999999999999 not 1. They got to you to? Resident Socialist and Undying Troublemaker Martyr of Section 1, 2 and 4 Original Troll of the House of Trolls
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2 years ago :: Oct 06, 2011 - 3:08PM #6
Mr_Miscellany Date Joined: Apr 5, 2007 Posts: 2,529	Oct 6, 2011 -- 2:27PM, homicidal_squirrel wrote: Does 0.999(repeating¹) = 1? Why? If you need accuracy out to 2,096 places (about what Dirty Frank wrote), then no, it doesn't equal 1. If you don't need accuracy out that far, then yeah, for all practical purposes it equals 1. The Forgotten Realms: It's an ugly baby, but damnit it's our ugly baby. WotC, please don't wreck the Forgotten Realms a third time in order to introduce the latest version of the D&D rules. Give us back 3rd Edition's Magic Television concept instead.
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2 years ago :: Oct 06, 2011 - 3:32PM #7
Pluisjen Date Joined: May 13, 2009 Posts: 14,168	I'll just drop the proof that they're equal here. I'll leave the proof that they're not equal for someone else. They both exist as far as I know, considering it's an open problem in mathematics. 0.999-> = X multiply by 10 9.999-> = 10X substract X 9 = 9X divide by 9 1 = X Ergo, 0.999-> = 1 Things get wonky when you start working with infinity and infinitely long numbers. There's a reason mathematicians have been murdered in ages past for suggesting that such a thing as "irrational numbers" existed. Epic Dungeon Master Want to give your players a kingdom of their own? I made a 4e rule system to make it happen! Your Kingdom awaits! Update 5th Sep 2011: Added a sample kingdom, as well as sample of play.
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2 years ago :: Oct 06, 2011 - 3:53PM #8
draco1119 California Dragon Date Joined: Sep 25, 2005 Posts: 12,974	Oct 6, 2011 -- 2:27PM, homicidal_squirrel wrote: Does 0.999(repeating¹) = 1? Why? I see what you did here... Here's why I would say it equals 1: how, exactly, can you put a 1 after an infinite number of zeros? "Today's headlines and history's judgment are rarely the same. If you are too attentive to the former, you will most certainly not do the hard work of securing the latter." -Condoleezza Rice "My fellow Americans... I've just signed legislation that will outlaw Russia forever. Bombing begins in five minutes." - Ronald Reagan This user has been brought to you by the letters "O-R-C" and the numbers "2, 3, 4, and 6" Resident Pithed-Off Dragon Buttler of the House of Trolls
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2 years ago :: Oct 06, 2011 - 5:49PM #9
GobbleDankster Date Joined: Nov 10, 2008 Posts: 533	.999 does not equal 1 .999 to infinity still does not equal 1 Only 1 can = 1 My God! Are you all morons?! It's math! Math can't lie! In math, something is either equal, or it is not equal. There are no degrees of equal. What the hell is going on here?!!? The Hate Tank R E N spells Ren, but I'm raw
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2 years ago :: Oct 06, 2011 - 6:08PM #10
bone_naga Date Joined: Aug 30, 2007 Posts: 9,966	Oct 6, 2011 -- 3:32PM, Pluisjen wrote: I'll just drop the proof that they're equal here. I'll leave the proof that they're not equal for someone else. They both exist as far as I know, considering it's an open problem in mathematics. 0.999-> = X multiply by 10 9.999-> = 10X substract X 9 = 9X divide by 9 1 = X Ergo, 0.999-> = 1 Things get wonky when you start working with infinity and infinitely long numbers. There's a reason mathematicians have been murdered in ages past for suggesting that such a thing as "irrational numbers" existed. What? No! That's not how math works! If you subtracted x you would get 9.999 - X = 9X Basic algebra, whatever changes you apply to one side of the equal sign must also be applied to the other side. Owner and Proprietor of the House of Trolls. God of ownership and possession.
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