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Is 0.999999... = 1 ?

Yes 139 50.36%
No 137 49.64%
Voters 276 .

0.99999... is not equal 1, right?

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Burizar

Senior Member

02-18-2013

Just want to make sure before betting 10$ with my friend

edit: no rounding


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iMFEkOXqcN

Member

02-18-2013

it is. i can prove it with maths


edit:

x=0.999999


10x=9.9999999
9x=9.000000000000
x=1
0.999999999=1




another way to look at it

1/3 = 0.33333333
1/3 + 1/3 + 1/3 = 0.33333 + 0.333333 + 0.3333333
3/3 = 0.9999999999
1 = 0.999999999999


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Adumu

Senior Member

02-18-2013

Please, dear god, DO NOT start this discussion again.


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TM oJun

Senior Member

02-18-2013

doesnt equal to 1. however, .333 that goes on forever times 3 equals to 1. this is because 1/3 times 3 = 1


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BombingLegend

Member

02-18-2013

this was asked in a different thread and the consensus with math was yes it does


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Averdrian

Senior Member

02-18-2013

It can be proven it does, but it depends on how you look at it.
x=0.999....
10x=9.999...
10x - x= 9.999... - x
9x=9
x=1
x=x
0.999...=1


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Bananas de Fire

Senior Member

02-18-2013

Does it round up? Yes. Is it actually 1? No.


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DomainSpecific

Senior Member

02-18-2013

again?


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DeityBot

Senior Member

02-18-2013

n=0.999...
10n=9.999...
10n-n=9.999...-0.999...
9n=9
n=1


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KirbyCake

Senior Member

02-18-2013

Depends on the your definition of equal, but for the most part you're right, they're not.

@above, that is proof by using the conclusion, which is not a valid proof.

anybody who uses this bogus 1/3 = .33333333333 is also jumping to the conclusion and isn't proving anything.