The Instigator
t-man
Pro (for)
Winning
30 Points
The Contender
CAPLlock
Con (against)
Losing
0 Points

1 is equal to .99999999...

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Post Voting Period
The voting period for this debate has ended.
after 8 votes the winner is...
t-man
Voting Style: Open Point System: 7 Point
Started: 7/6/2011 Category: Miscellaneous
Updated: 5 years ago Status: Post Voting Period
Viewed: 3,178 times Debate No: 17424
Debate Rounds (5)
Comments (14)
Votes (8)

 

t-man

Pro

1 is equal to .99999999...
or
1=.99999999...

===Rules===

No semantics.

First round is for acceptance.

I ask my opponent to accept the laws of math as true.

In .99999999... the 9's go on forever.
CAPLlock

Con

1 is not equal to .999
Now in math you round up, but that doesn't mean its equal.
EX:

1+1+1= 3
.999+.999+.999=2.997; wee short of 3.

Now lets say this

45/N(this will be 1)
that is 45(pieces of a cookie)

Now lets say .999 is the same as 1, that should give us the right answer,right?
45/.999
that gives 45.045; a little difference.
Debate Round No. 1
t-man

Pro

===Rebuttal===

I did not say that 1=.999

I said 1=.99999999... with the 9's going on forever.

===Proof===

1. x=.99999999...

2. 10x=9.99999999...

3. 10x-x=9.99999999...-.99999999...

4. 9x=9

5. x=1

6. 1=.99999999...


===Explanation of Proof===

1. This establishes a variable x equal to .99999999...

2. Multiplying both sides by 10

3. Because x=.99999999... I can subtract one side by x and the other by .99999999... and have a valid equation

4. 10x-x=9x and 9.99999999...-.99999999...=9

5. Dividing both sides by 9

6. They both equal x and therefore equal each other

============================================

Vote Pro

CAPLlock

Con

You know what i got bored
Debate Round No. 2
t-man

Pro

Con didn't respond to any of my arguments and has therefore conceded.

Vote Pro!
CAPLlock

Con

Yeah, But still .99999999 is a different number
Debate Round No. 3
t-man

Pro

If they're different, than show me what's wrong with my argument. As you have not done so, it still stands.

Vote Pro!
CAPLlock

Con

3. 10x-x=9.99999999...-.99999999...

4. 9x=9

lolwut?
Most times you round up.
Debate Round No. 4
t-man

Pro

I don't see where I rounded up.
10x-x=9x
9.99999999...-.99999999...=9
Please point it out.

Vote Pro!
Debate Round No. 5
14 comments have been posted on this debate. Showing 1 through 10 records.
Posted by DictatorIsaac 5 years ago
DictatorIsaac
drafterman, I meant that 0.999... had seemed to me that it was simply the closest real number to 1 and not equivalent to 1, though I've changed my opinion. I guess it was the boggling idea of infinite decimals that deceived me into thinking otherwise. Nonetheless, I should note that numbers can indeed be expressed in different versions, but those versions are not necessarily equal. For example, 3.0 isn't necessarily equal to 3 because 3 may be a rounded up version of 2.9.
Posted by drafterman 5 years ago
drafterman
DictatorIsaac: What do you mean they "obviously aren't" equal? You do realize that, in mathematics, numbers can be represented in a variety of ways, right? Like 3 = 3.0 = 3/1.

0.9999.... is simply one way of representing what would more commonly be represented by 1.

It's simple:

x = 0.9999....
10x = 9.9999....
10x - x = 9.9999.... - x
10x - x = 9.9999.... - 0.9999....
9x = 9
x = 1

Ergo, 1 = 0.9999....
http://mathforum.org...
Posted by wjmelements 5 years ago
wjmelements
Limits. Resolution affirmed.
Posted by DictatorIsaac 5 years ago
DictatorIsaac
From what limited knowledge I have, 1 still can't equal 0.9 recurring. Remember, x = 0.9 recurring, and x and 1 must be identical to be equal, yet they obviously aren't. Regardless of what one does to both sides to make the equation seem like 0.9 is indeed equal to 1, the problem ends up being the same "0.9 = 1." A is A.
Posted by SkepticsAskHere 5 years ago
SkepticsAskHere
Nevermind Mark Mallory is an atheist
Posted by SkepticsAskHere 5 years ago
SkepticsAskHere
Is this MARK MALLORY?
T-man is that you?
Posted by feverish 5 years ago
feverish
I'm no mathematician and I know that it seems entirely counter intuitive, but trust me, you and the voters who agree with you are wrong. This has been debated 1000s of times on this site alone. http://www.debate.org...
Have a read through a few of these other debates on it and maybe it will start to sink in.
Posted by Extremely-Far-Right 5 years ago
Extremely-Far-Right
Ok feverish, I agree with you there, that the voters on my debate claimed that I "proved the impossible". But look at the voters who voted here say,

CGBSpender: "CAPLlock is definitely right, but did a very poor job of proving it."

Brenavia: "Put up a good fight next time Con, and you would have won."

I disagree with you feverish in claiming that I won the other debate because my opponent got confused and conceded, I won because I was correct.

t-man has challanged me to a debate on this topic and I will accept this as soon as I get back from vacation. Then perhaps that debate that t-man and I will have, will be a better debate than both my previous debate (on this topic) and this debate.
Posted by feverish 5 years ago
feverish
lol EFR, you got lucky in that other debate on this, because your opponent got confused and conceded. You won, but were stil totally wrong as voters noted.
8 votes have been placed for this debate. Showing 1 through 8 records.
Vote Placed by wjmelements 5 years ago
wjmelements
t-manCAPLlockTied
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Total points awarded:50 
Reasons for voting decision: CON ignored or misconstrued PRO's arguments.
Vote Placed by SkepticsAskHere 5 years ago
SkepticsAskHere
t-manCAPLlockTied
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Total points awarded:40 
Reasons for voting decision: Con didn't really bother to refute
Vote Placed by Double_R 5 years ago
Double_R
t-manCAPLlockTied
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Total points awarded:40 
Reasons for voting decision: Not a difficult case to refute. Con didn't bother.
Vote Placed by Brenavia 5 years ago
Brenavia
t-manCAPLlockTied
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Total points awarded:30 
Reasons for voting decision: Put up a good fight next time Con, and you would have won.
Vote Placed by ApostateAbe 5 years ago
ApostateAbe
t-manCAPLlockTied
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Total points awarded:40 
Reasons for voting decision: Con didn't have a chance.
Vote Placed by CGBSpender 5 years ago
CGBSpender
t-manCAPLlockTied
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Total points awarded:40 
Reasons for voting decision: CAPLlock is definitely right, but did a very poor job of proving it.
Vote Placed by GMDebater 5 years ago
GMDebater
t-manCAPLlockTied
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Reasons for voting decision: what was that?
Vote Placed by quarterexchange 5 years ago
quarterexchange
t-manCAPLlockTied
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Reasons for voting decision: Con conceeded.