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# The value 1.999999... is equal to 2.

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 Voting Style: Open Point System: 7 Point Started: 1/9/2008 Category: Science Updated: 9 years ago Status: Voting Period Viewed: 4,627 times Debate No: 1583
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 Pro This is in response to the numerous 1 = 2 posts with the mathematical error. ****************************************** Let A = 1.99999999... repeating. 10 * A = 19.999999... repeating. Subtract A from each side... 10A - A = 18.0 9A = 18.0 Divide by 9. A = 2 Substitute. 1.9999999... repeating = 2.Report this Argument Con 1.999999...repeating is not equal to 2. JustCallMeTarzan said that his mathematical proof establishes that he is correct. However, as one should know, mathematicians are, on basis, educated people. If mathematicians are on average a quite educated group of people, why would they have made two numbers of the same value without purpose? Until JustCallMeTarzan provides a purpose for which mathematicians would make two numbers of the same value, the CON side will prevail.Report this Argument
20 comments have been posted on this debate. Showing 1 through 10 records.
Posted by Korashk 7 years ago
I will never understand this concept based solely on the fact that I don't believe that 1/3 = .333..., I do believe that .333... is the closest decimal equivalent to 1/3, but at my core I can never accept that they are the same.
Posted by J.Kenyon 7 years ago
He's right, actually, think about it.

What is 2 - 1.9...? It's zero. If the decimal points go on forever, it is impossible for their to be a ".000...1" *after* an infinite series; there can't be anything in between the two numbers, therefore they are equivalent.

Here's another way to look at it. 1/3 = .33...; 1/3 + 1/3 = .66... or 2/3; 1/3 + 1/3 + 1/3 = .99... or 3/3, OR... 1 (one).

Posted by Korashk 7 years ago
At least that's what I think.
Posted by Korashk 7 years ago
Pro's justification is complete algebra fail. All that argument does is restate the resolution that 1.999 = 2.
Posted by kennard 9 years ago
Hi Einstein. I agree with the way you think. I posted a proof showing that 1.999 repeating is NOT equal to 2. I think that the proof I wrote is solid enough. If you or anyone else wants to check it out just go to the following link:

http://www.debate.org...
Posted by Einstein 9 years ago
That's just a tautological argument; to believe that 0.000000.....1 = 0, you already need to agree with the statement that .999.... = 1.
Posted by Tatarize 9 years ago
It isn't an infinite number, it simply notes that .9999.. = 1, this is true because the difference between the two is 0.0000... = 0
Posted by Einstein 9 years ago
Although this proof seems to be mathematically solid, I've always had an issue with it; mainly that I think operations where you multiply an infinite number are incorrect. For some reason, multiplying 10 * 1.99 repeating to get 19.99 repeating seems a bit off. I simply can't put my finger on it though.
Posted by Tatarize 9 years ago
What a cheap way to bump up that ratio...
Posted by JustCallMeTarzan 9 years ago
Much thanks to those who voted here... maybe you could help on this one - lol (http://www.debate.org...)
25 votes have been placed for this debate. Showing 1 through 10 records.