The misconception is that dividing by zero produces infinity. However, if the number divided by zero is negative, the result would be negative infinity. Therefore, division by zero is undefined.
However, it is possible to describe this in terms of limits. For example, as x -> 0, 1/x -> infinity. However, at no time is x = 0.
2006-06-30 07:45:13
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answer #1
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answered by Ѕємι~Мαđ ŠçїєŋŧιѕТ 6
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Division by zero does not give infinity. The reason that n/0 is called "undefined" is that it is meaningless to talk about dividing by zero.
In simplest terms, division is repeated subtraction. For example, to divide 6 by 2, you subtract 2 repeatedly until there is nothing (zero) left. The quotient is the number of time you subtracted 2.
Now imagine you want to divide 6 by zero. You subtract zero repeatedly until nothing is left. While it is true that you can subtract zero as many times as you want (or an infinite number of times), you will never have nothing left, so you haven't really carried out a proper division.
Your question is quite clever. Since the second statement seems like nonsense, that is an argument for the first statement being false. So, you have framed another argument for the meaninglessness of division by zero in your question.
2006-06-30 19:24:08
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answer #2
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answered by mathsmart 4
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0 is more than a reference between positive and negative numbers ... 0 is an absence ... 0 is as infinite as infinity ... any function that can generate 0 must consume that which generates non-zero ... if the infinite generates non-zero then the infinite must consume non-zero to generate 0 ... math is a language of human interpretation and the real complexity lies in solving/expressing conundrums or insolvable equations ... the rules of any domain dictate what is solvable and what is not solvable ... in truth these systems remain in motion no matter how or where we view the spectra and this means that any formation of an idea is subject to the shifts that take place infinitely ...
2006-06-30 14:45:25
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answer #3
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answered by Joe T 2
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Infinity is not a number, it is a mathematical concept. You can state that the result of a sequence of mathematical operations is infinity, but when you perform mathematical operations on infinity, sometimes you can state a result that makes sense and sometimes you can't. For example, infinity plus 3 equals infinity and infinity times 3 equals infinity. But while infinity plus 0 equals inifinity, inifinity times 0 does not make sense and is therefore, undefined.
2006-06-30 22:50:33
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answer #4
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answered by MyYahooAnswersNickname 3
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It's not infinite, it's undefined. There is no solution.
2006-06-30 14:27:32
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answer #5
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answered by David J 2
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It is not infinite, it is impossible
2006-06-30 14:24:14
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answer #6
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answered by dave 2
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