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由M1Silencer编辑：
3/26/2016 12:14:30 AM
117
Is .999999... = 1?
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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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31 回复由Atlas Enderium编辑： 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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30 回复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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2 回复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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1 回复由GivingDuke823编辑： 3/28/2016 7:12:04 PM
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4 回复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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9 回复Short answer: no Long answer: why the -blam!- am I giving you a long answer? I said no.
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6 回复由LordofArbiters编辑： 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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3 回复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.
