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The difference between .999... and 1 is an infinite number of zeros followed by a 1. However, there's no such thing as an infinite number of zeros followed by a 1, because then it wouldn't be an infinite number of zeros. So the difference between .999r and 1 does not exist, and if there is no difference between two numbers, then those two numbers are the same number. If you think .9r =/= 1 then you're wrong and that's that. But who would ever expect the majority of offtopic to get a math problem correct
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Something else to ponder.
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If you rounded up, I'd think it would be.
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1/3=.333333... 2/3=.666666... 3/3=.999999... 3/3=1 1=3/3=.999999... 1=.999999... Short lil proof there for ya
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[quote]1/3×3=1 1/3=.33333..×3=.9999...=1[/quote]
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Edited by Atlas Enderium: 3/26/2016 4:18:28 AMWhat is 1-2+3-4+5-6+7-8...? Edit: for those saying "-4," you're wrong. The equation goes on infinitely
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No As no matter how many 9s are reacurring, it will always be smaller than 1.0. [spoiler]They ARE [b]very[/b] close to each other, but 0.9 (reacurring) will be smaller.[/spoiler]
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Nope if you don't round it's not 1 and you never gave us a scenario to deal with so it stays .9999...
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.999999.... Is not 1 use ur eyes
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No. It's .999... If it was 1, it would be 1.
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It equals .9 repeating so no
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Edited by GivingDuke823: 3/28/2016 7:12:04 PM1/3×3=1 1/3=.33333..×3=.9999...=1
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Every time someone makes a thread on .9 recurring it makes me want to kill myself seeing the majority argue that it isn't equal to one.
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70% of people do not know how to evaluate a geometric series
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The answer is[spoiler]I don't give a shit[/spoiler]
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According to calculus, sort of.
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This entire argument is why we have an approximation symbol. .999.... Is an approximate value for 1. By using calculus theorems you can argue that it is equal to 1, but in actual real word practice a decimal is never assumed to be truly accurate. It is always an approximate value.
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Not including rounding, no
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I don't see any 9s or decimals in 1
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Depends if you round all the 9s up
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Short answer: no Long answer: why the -blam!- am I giving you a long answer? I said no.
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Edited by LordofArbiters: 3/27/2016 1:43:27 PMIt is equal to one if rounded, but for a truly accurate statement, it is not equal to one.
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If you included the "real numbers only" comment from the other post, then it would be a yes, but as it is, no they are not the same.
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For all those wondering: We are talking about 0.9 recurring. So 0.9999... with infinite nines. This means that the gap between 0.999... and 1 must be infinitely small and anything that is infinitely small is basically nonexistent. If the gap is basically nonexistent then are effectively they are the same number. While, yes they aren't exactly equal, they are in essence the exact same thing and can be used in the same way. For example, 1/3 = 0.333333... , however 0.333333...*3=? Well technically it equals 0.999999... however it also equals 1. Like I said because they are so similar they can be used as the same number. While 0.99999...≠1, 0.99999...≈1 It's like if you had 1.0000000...with infinite zeros. It's still 1. Same thing applies just in the other direction.
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Ask any sane mathematician [spoiler]there are a few insane ones[/spoiler]
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Edited by Lance: 3/27/2016 8:41:51 AMNo, .999... And the concept of 1/3 are ridiculous.