The Instigator
CoronerPerry
Pro (for)
Losing
5 Points
The Contender
littlelacroix
Con (against)
Winning
26 Points

.999.... is equal to 1

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Post Voting Period
The voting period for this debate has ended.
after 6 votes the winner is...
littlelacroix
Voting Style: Open Point System: 7 Point
Started: 11/24/2008 Category: Education
Updated: 8 years ago Status: Post Voting Period
Viewed: 2,132 times Debate No: 6033
Debate Rounds (3)
Comments (15)
Votes (6)

 

CoronerPerry

Pro

I will let my opponent start. the topic is simple

.999.... repeating, is equal to the unit 1

okay opponent, start.
littlelacroix

Con

I must say that this debate is getting quite old. However, to ensure the best debate, I offer the following definition.

Equal - identical in mathematical value or logical denotation (From Merriam-Webster Online)

Now, no matter how far out you go, .999 (repeating) will never be identical. Even if you have a decimal and a billion nines, it will never be identical to a one, a decimal and a billion zeroes. You could even go to a trillion or infinity and there will ALWAYS be a fraction separating the two from being identical. The only way the Pro can win this debate is if we were debating ".999... is ROUGHLY equal to 1."

I'm sure that my opponent will attempt to solve some kind of mathematical problem in his next argument so I will wait until then to continue.
Debate Round No. 1
CoronerPerry

Pro

To sart, I will quote my opponent...

"I offer the following definition.

Equal - identical in mathematical value or logical denotation (From Merriam-Webster Online)"

okay, yes, I will use his definition, and also offer this basic truth.

3/3 is exactly equal to 1...
1/3 is 0.333..... repeating forever.

multiply 1/3 by 3, and it equals 1
multiply .333 by 3, and it equals .999......

therefore, .999.... is exactly equal to 1.

also, in wikipedia, with this link - http://en.wikipedia.org......
it states this...

In mathematics, the recurring decimal 0.999…, which is also written as or , denotes a real number equal to 1. In other words, the notations "0.999…" and "1" represent the same real number. The equality has long been accepted by professional mathematicians and taught in textbooks. Various proofs of this identity have been formulated with various degrees of mathematical rigour, preferred development of the real numbers, background assumptions, historical context, and target audience...

I will wait until round 3 to present more proofs.

I will let my opponent go now. good luck.

~~Perry~~
littlelacroix

Con

Alright, so let me get this straight. You say that 1/3=.333..., correct? Cause if that's the case, then how can you possibly get two different answers when multiplying by the same number. In theory, 1/3 times 3 is equal to one, but that rule was only created because the difference between that and 1 is so small that it doesn't make a noticable difference in a problem. Nonetheless, there is still a difference. If you didn't know basic math, for instance 3*33=99, then you would also believe that 3*.333...=1. However that is not the case, you understand how to multiply, therefore, .333... or 1/3 times three is equal to .999...

Just so that I can clearly demonstrate my point...

1/3=.333...
3*1/3=3*.333... (Times by three)
1=.999... (According to any calculators)

However...

1/3=.333...

If two numbers are exactly equal, how does multiplying them by the same number equal something different?

1/3=.333...
3*1/3(.333... <- This is here for clarifying)=3*.333...

Therefore...

.999...=.999...

The only reason that the mathematical community believes that 1 is equal to .999... is because there is no noticeable difference to humans in between the two, but since the decimal continues forever, there will always be a fraction that exists, thus it isn't identical.

Has man ever found the end of space? No, that's because space continues on forever, just as the fraction in between .999... and 1 continues forever. No matter what way you bend it, there is always a difference whether you can see it or not. Therefore, 1 is not equal to .999...

And just so you know, Wikipedia isn't a reliable source.
Debate Round No. 2
CoronerPerry

Pro

CoronerPerry forfeited this round.
littlelacroix

Con

I hope all that look at this debate vote on who put most effort into their arguments and who truly deserves to win. As I have shown, .999... does not equal 1 and my opponent has lacked refutation on all of my arguments; therefore, I have nothing more to say. Thank you
Debate Round No. 3
15 comments have been posted on this debate. Showing 1 through 10 records.
Posted by Mangani 8 years ago
Mangani
Conduct: Con
Pro forfeited a round.

Arguments: Pro
There is no logical argument against a mathematically proven fact. The argument itself is, therefore, arrogant at best, and completely devoid of any mathematical knowledge at worst.

Sources: Pro
Con did not use a source.

To Labrat: Wikipedia is only unreliable if you do not test the sources within a particular Wikipedia article itself. To give the point to Con based on your own opinion of the source without testing it's content is a logical fallacy... but, of course, it's your vote.
Posted by Labrat228 8 years ago
Labrat228
agree with before - Pro
agree with after - Pro
Conduct - Tie
Spelling/Grammar - Tie
Arguments - Con - Due to Pro's forfeit.
Sources - Tie - Pro used Wiki (Unreliable) - Con used nothing.
Posted by Labrat228 8 years ago
Labrat228
I feel sorry for Con.. that was the wrong argument for this situation. It adds more attention to CeronerPerry's next argument (Assuming he argues what we are all thinking).
Posted by PoeJoe 8 years ago
PoeJoe
But this isn't opinion. .999... IS equal to 1. Everyone in the mathematical community agrees.
Posted by Wayne 8 years ago
Wayne
aw c'mon, the con can win this if he does it right
Posted by Ragnar_Rahl 8 years ago
Ragnar_Rahl
Gah dubble post :P
Posted by Ragnar_Rahl 8 years ago
Ragnar_Rahl
Then disallow them by not accepting them. The fact that Con did proves he disagrees with you or is irrational. It is their opinion on the fairness of the debate, not yours, which is relevant.
Posted by Ragnar_Rahl 8 years ago
Ragnar_Rahl
Then disallow them by not accepting them. The fact that Con did proves he disagrees with you or is irrational. It is their opinion on the fairness of the debate, not yours, which is relevant.
Posted by PoeJoe 8 years ago
PoeJoe
Debates like this should be disallowed. They are autowins for PRO.
Posted by Ragnar_Rahl 8 years ago
Ragnar_Rahl
*wonders whether Pro is going to use a valid proof or an invalid one.*
6 votes have been placed for this debate. Showing 1 through 6 records.
Vote Placed by zach12 8 years ago
zach12
CoronerPerrylittlelacroixTied
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Vote Placed by Mangani 8 years ago
Mangani
CoronerPerrylittlelacroixTied
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Vote Placed by KRFournier 8 years ago
KRFournier
CoronerPerrylittlelacroixTied
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Vote Placed by Johnicle 8 years ago
Johnicle
CoronerPerrylittlelacroixTied
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Vote Placed by Labrat228 8 years ago
Labrat228
CoronerPerrylittlelacroixTied
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Vote Placed by littlelacroix 8 years ago
littlelacroix
CoronerPerrylittlelacroixTied
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Total points awarded:07