Poll: Does 0.999.. equal 1 ?

[Gladion]

if 0.999(r) = 1
then is 0.888(r) = 0.999(r) ??

Of course not. There's a difference of more than 0,1 between 0,(8) and 0,(9).

does 1.999(r) = 2

Yes. As some other people have already stated. If two numbers are different from each other, then you can find a number in between those two. There is no number between 0.(9) and 1.

snip

Extremely simplified and doesn't grasp the mathematical problem. You're basically saying "by the rules I KNOW, you're wrong, therefore I'm right". Which is bullcrap. It wouldn't be that bad and COULD be counted as a valid argument if you weren't so smug.

 

[bob1052]

All Real Numbers have a value you between them (1.5 is between 1 and 2, 1.05 is between 1 and 1.1 1.005.....)

There is no value between 0.999... and 1, therefore 0.999... is not a real number and therefore it is not impossible to have multiple values.

 

[yossarian787]

Sad that, despite several proofs posted and a link to the wiki, which contains several more proofs, still more than half of the 300+ voters have said that 0.(9) is NOT equal to 1.0

1/9 = 0.111111...
9 * 1/9 = 9 * 0.111111... = 0.999999...
1 = 0.999999...

 

[Sovvolf]

Sadly, maths is so far away from being my strong point that I'd need a team of Nasa trained mathematicians if I ever needed to calculate the distance. So a lot of the 0.333 0.999 stuff is going right through one side of my head and out the other and some crazy scamp even put the words "Simple" in front of it... Ga'h headache. Anyway the answer is yes, well at leasts thats the answer my Maths teacher gave to me when I asked and its also the same answer I get from all mathematicians I've bothered to ask. They tried explaining it but well, my brain ceased up and all I heard was buzzing sounds.

I've never been able to figure it out myself, though as said maths and I aren't friends. I can do basic calculations and thats it. Though it seems the people here have given it a go at explaining it... Still don't help me out... I feel real stupid now... I'm going to go in the corner and think about what I've done.

 

[mps4li3n]

Yes. As some other people have already stated. If two numbers are different from each other, then you can find a number in between those two. There is no number between 0.(9) and 1.

There is, but you can never reach it because it would take you infinity... and you can never get to infinity. So reality just skips over the whole thing or something. Maybe Charlie Sheen murders it for the Vatican with his Warlock powers.

 

[Puzzlenaut]

The gap is infinitely small, but there is a gap.

Plus anyone who says they are the same is clearly a pretentious retard desperately trying to look clever to cover the fact that he has below average IQ and has a small penis.

So yeah >.>

 

[Rough Sausage]

All Real Numbers have a value you between them (1.5 is between 1 and 2, 1.05 is between 1 and 1.1 1.005.....)

There is no value between 0.999... and 1, therefore 0.999... is not a real number and therefore it is not impossible to have multiple values.

I think you'll find 0.(9) is a real number.
What you meant (I believe) was that any two distinct(!) real numbers have a real number in between them, however we cannot find one, therefore they are not distinct.

 

[mps4li3n]

The gap is infinitely small, but there is a gap.

Or there's nothing in the real world that's actually infinite so the difference doesn't exist in any material world sense so anything that might potentially be 0.(9) in the real world just defaults to 1 or 0.9999999999999999999....999998 at some point.

 

[Tetranitrophenol]

yes, if you are an Engineer.
no, if you are a Mathematician

 

[mps4li3n]

yes, if you are an Engineer.
no, if you are a Mathematician

What if you're a Wizard? (Harry?)

 

[Amphoteric]

Its not common that the majority of escapists are wrong about something.

0.99999... = 1

 

[Sebobii]

so we could say the man moves 10 times as fast as the tortoise, who moves at 1 meter in the same time. if you would plot that into a function, it'd be pretty easy to see the man will overtake the tortoise.

Actually no, I just made one and the result is that basically it goes as far as it's precision can go (mine went to 1.74761864351931 * 10^-307) and after that it went to INF, infinity.In reality, yes the man would obviously catch the turtle really quickly, nobody disputes that.

 

[Amphoteric]

The gap is infinitely small, but there is a gap.

Plus anyone who says they are the same is clearly a pretentious retard desperately trying to look clever to cover the fact that he has below average IQ and has a small penis.

So yeah >.>

Find the flaw in this logic

1/9 = 0.111111111111111...
0.111111111111111... * 9 = 0.99999999999999999...
Therefore 9/9 = 1 and 0.9999999999999...

 

[Skratt]

x = 0.999...

x does not equal 1. x is already solved. x = 0.999...

10x = 9.999... is correct because x = 0.999...

So 10(0.999...) = 9.999...

x DOES NOT equal one. You can't solve for something that is already solved.

 

[Atmos Duality]

If I could rationally express 1/3rd as non-repeating decimal (in Base10), this question wouldn't even exist.

Any repeating decimal is representative of decimal's inability to rationally express an infinite repeating division operation in Base10 (we keep dividing to attain a precise answer, but the logic loops infinitely).

As soon as you stop thinking purely in Base10, the logic works just fine. .99 (repeating) is simply the addition of 3 units of (precisely) 1/3rd.

A swing and a miss. (Or have I misunderstood your statement?)

You misunderstand.

The point is about trying to add non-rational expressions together (repeating expressions commonly form an asymptote, which might as well be a form of infinity).
Rather than thinking about 1/3rd as a Base10 (which is what common decimal form is based on), think of it in pure units. I can obviously cut a cake into 3 equal portions, and it doesn't stop me from measuring each part as equal.

I'm simply stating that it's easier to grasp this concept if people stop thinking in purely decimal-addition.

 

[Tetranitrophenol]

yes, if you are an Engineer.
no, if you are a Mathematician

What if you're a Wizard? (Harry?)

if you are a wizard then it dosen't matter what number you get you can always bend the fabric of time and space to make it equal 1. Hell, they can even divide by zero for all they care...

 

[Davey Woo]

Only once you add/subtract/divide or multiply it.
0.9999... on it's own is equal to nothing more than itself.

Yea sure you can do "0.9999... * 10 = 9.9999... - 0.9999.... = 9 / 9 = 1"
But you could also just do "0.999 + 0.001 = 1" as well.

 

[Zukhramm]

yes, if you are an Engineer.
no, if you are a Mathematician

It's more the other way around actually. The engineer is the on likely doing calculations by saying "whatever, it's there but just infinitely small" while the mathematicians would mess around with limits and such.

But I guess this is a troll thread. Not only is a large amount voting no, but a majority is. WoW!

There's no rounding going on, there's no approximation, it's no "flaw" in our mathematics involved, a !quirk" in the decimal system, but no flaw.

But whatever, if multiple proofs are not enough (it should be, ONE correct proof should be enough actually) and you think that somehow all the mathematicians in the world got it wrong and YOU are the only one to see the truth, you come up with a proof for your side.

Here, I'll help with the start because there's one really simple way to prove that they are in fact not equal. Here it is:

Find a number x such that:

0.999... < x < 1

If there is a number that fits between them, xlearly they are not equal. And I'll say it right now that no, "zero point zero with an infinite amount of zeroes and then a one" does not work, because if there's an infinit amount of something there's no "and then".

 

[odd function]

You are wrong. As stated on the first page. 1 / 3 = 0.(3) so 3 * 0.(3) = 0.(9) = 1.