Does 0.9999999 = 1?

Anyone who understands how2math:

.X != X

Also, real talk.

How many of the people posting here are just spouting drunk(ish) bullshit and why am I on TYM with like 20 people at my house?

Might Tested said:

The fact that so many of you believe .9 repeating does not equal 1 shows how ignorant the vast majority of the TYM community is, yet tries to pass off their bullshit as legitimate arguments.

A majority of mathematicians with PhDs and anyone with a solid understanding of calculus or algebra can show that .9 repeating equals 1.

A better way to phrase this question in which people could probably understand better, is 1 - .9 repeating = 0.
At first glance, your average joe would say no, because at some point there would be a .000...1 in the solution, but the reality is that .9 repeating extends to infinitely many digits, and thus your solution would extend to infinitely many zeros without any possibility of ever getting a nonzero digit (this is why it's important to understand the difference between infinity and a really large number). Thus, a mathematician would conclude that the limit is equal to 0, since 1 -.9 repeating = .0 repeating = 0.

There's plenty of algebraical proofs that can be easily googled, although limits presents a solid explanation to an otherwise counterintuitive question.

Click to expand...

That's completely false. The majority of mathematicians with PhDs are morons. No, you can't view it as 1 - .999... because 0.999... is NOT a number. No non-terminating representation is a well-defined number. There are plenty of fake "algebraic" proofs - every one of them have been debunked thoroughly by me. See link to 0.999 article at my web site. The very fact that you can write such bullshit like "would extend to infinitely many zeros without any possibility of ever getting a nonzero digit (this is why it's important to understand the difference between infinity and a really large number)" confirms that you don't know much math.

Understand the difference between "infinity" and "a very large number"? You are indeed an imbecile! Infinity is not a number. As for a very large number, it could be "infinitely" many things. My gosh, but you are an unbelievably stupid person. Do you enjoy revealing your ignorance?

Might Tested said:

Seven, it's not .999 they're discussing. It's .9 repeating. A decimal point, with an infinite number of digits (in this case, 9). There is no endpoint.

The number .9, or .99, or .99999999 has an endpoint, and thus does not equal 1.

Click to expand...

I have news for you. Most of you don't have a clue what you are talking about. To be brutally forthright, you are extremely thick! What does an "infinite number of digits" mean? The only word that comes to mind is "nonsense".

Math...thats some deep shit bro...

The logical fallacy in the wikepedia page is that you can continue operations after multiplying an infinite decimal.

So here's their algebraic proof:

1/9 = .111
9 * 1/9 = 9 * .111
1 = .999

The equation breaks down in between step 2 and step 3.

While in a normal situation, you can multiple 2 sides by the same number, and still get the same outcome.

However, in this case you cannot just multiply 9 * .111111 . . . and then continue to the next part of the equation without accepting it will be an estimate.

When you multiply 9 * 1/9, the multiplication is finished instantly.

When you multiply 9 * .1111, the multiplication is NEVER finished. It will go on infinitely.

The = sign implies both numbers must be at that state at the same time. However, when you deal with infinite decimals, you can never really get it at the same time. You have to cut them off and accept it as an estimate.

So the proper outcome would be 1 =~ .99999 (The curly equal sign, which is used in Calculus integrals to denote "pretty much equal")

John Gabriel is possibly the stupidest thing I've ever heard pass his bullshit off as legitimate on the internet. Anyone who has had the displeasure of reading his crap is now stupider for it.

He starts off postulating that infinity doesn't exist, then argues that 0.9 infinitely repeating doesn't equal 1. Does anyone else see the logical hypocrisy in his statement?


For anyone still struggling with the concept, think of it this way. Two numbers on the real plane can be considered the same if there is no number between them. Thus 2 and 3 are different because 2.44 is between them. Likewise, 0.9 and 1 are different because 0.91 is between them. There is no number between 0.9 recurring and 1, therefore they are the same number.

The concept of infinity is difficult to understand yet fascinating all the same. If you enjoy maths stuff for fun I suggest you check out Vi Hart and Numberphile on YouTube.

This is the mindfuckiest thing I've ever woken up to in my life.

Note to self: Wait at least 2 hours after becoming conscious before checking TYM.

Also: I believe "There Is No Spoon" should've been an option in the poll.

This is not the thread I needed to be reading on New Year's Day.

This thread needs more asians, so...

0.999... isn't a real number.
If 0.999... isn't a real number then how can you compare it to 1?

The answer is poop.

despite the numerous claims that infinity exists, it cant be measured. humans have a finite existence. even machines and computers break down eventually. the concept of infinity might be true but there is no way of ever testing it or measuring it. o. (fuck loads of nines) is ridiculous because when will there ever be a need to use such a number when 0.9 or 1 is more convenient.

The End.

John Gabriel is the epitome of bullshit. If in fact, he's not a troll (which I would assume considering the lengths it would take to start his website), then quite possibly he's accrued some myriad of psychological disorders in order to avoid cognitive dissonance and the obviousness of his delusions. So John, while it's okay to get shot down on a relatively unimportant forum, I would suggest getting help before you embarrass yourself in a relevant community. I find it silly that you believe you've invented some revolutionary form of calculus, yet it's unpublished in any peer reviewed journals, or credited by any notable mathematicians. If you truly buy into your bullshit, then submit your work and collect your Fields Medal.

And as for you Flagg:
"(fuck loads of nines) is ridiculous because when will there ever be a need to use such a number when 0.9 or 1 is more convenient."
.9 repeating allows us to understand the concept of infinity, and representing certain numbers as more complex numbers can lead to further understanding that wouldn't be immediately obvious. Infinity is incredibly useful in advanced math, and provides people with beautiful descriptions like
"Two numbers on the real plane can be considered the same if there is no number between them. Thus 2 and 3 are different because 2.44 is between them. Likewise, 0.9 and 1 are different because 0.91 is between them. There is no number between 0.9 recurring and 1, therefore they are the same number." .9 repeating may not be as convenient as its single digit representation,


Take e^(ix) for example. We can rewrite that as cosx + isinx. And at first, people would think "Oh. That's silly! Imaginary numbers aren't even real, and why would you want to rewrite a simple e^u function as a sum of two oscillating functions?" Well you know what, imaginary numbers and Euler's formula provides -real- solutions to differential equations.

@J360 , is this what TYM has been reduced to in my absence? Nutters.


.9 repeating is 1. Can a moderator with any solid understanding of mathematics close this thread?

Might Tested said:

.9 repeating is 1. Can a moderator with any solid understanding of mathematics close this thread?

Click to expand...

Might Tested said:

Seven, it's not .999 they're discussing. It's .9 repeating. A decimal point, with an infinite number of digits (in this case, 9). There is no endpoint.

The number .9, or .99, or .99999999 has an endpoint, and thus does not equal 1.

Click to expand...

I posted this awhile back and I posted it with the up most confidence because even my professor went into a rant about how .9999 doesn't equal 1. I think I'll take his word over yours ;p

What... what is this...? MATH?!

ON MY TYM?!

*Exits thread, slits wrists, drowns in blood*

Claude

John Gabriel said:

I have news for you. Most of you don't have a clue what you are talking about. To be brutally forthright, you are extremely thick! What does an "infinite number of digits" mean? The only word that comes to mind is "nonsense".

Click to expand...

Please shut up. Lots of smart people saying your ideas are shit mean you're the moron. If there was substance there they'd be backing you up, just like Einstein's theories became accepted.

Gabriel lost all credibility when he stated the majority of mathematicians with a PhD are morons. I assume counting how many scoops of fries going into a carton at Wendy's gives him all the say as to what is infinite and not.


Coming from an extensive Chemistry/Physics background, I can say that infinity does exist.

Good day chaps.

The number zero has been invented after the other nine (1, 2, 3...) numbers.

That just reveals what the number one consists of; a metric fuckton of nines.

1/3 + 2/3 and whatnot

Yes.

Yes. Yes. Yes.

JESUS CHRIST MONKEY BALLS YES.

0.999... = 1

"But why?" you may ask. Good question. First, understand that in the number 0.999... THERE IS NO 'LAST' 9! There are infinitely many 9s. Really try to wrap your head around that, because it changes what we mean when we write 0.999...

Like you said in the OP, it is valid to treat 0.999... as a limit. And indeed, you may never reach the value of 1 by appending 9s, because *you cannot append infinitely many 9s*; that's why we use limits. We can show that although 0.999...9 does not equal 1, if there is no 'last' 9 the equality holds.

The algebraic proofs in the OP and subsequent posts are also valid ways to show that 0.999... = 1

This is not a paradox. It's no less valid than saying 2+2=4 or 3 x 3 = 9.

0.999... = 1 because they both represent the same value. Hope this clears things up.

here we go l0l
.999...=x
.999*10=x*10
9.999..=10x
-.999 = -x
9 = 9x
divide by 9 and you get x=1.
if you look at the beginning you will also see that x= .999....

Its sad that just over half the votes on this poll are No.

I'm no mathematician but when it comes to this argument i've always thought it was a terrible thing.

A number that is not yet a defined number being compared to a concrete number is just weird.

I may have a misunderstanding seeing as how i didn't study math to this extent, but what would credentials change about absolute values of a number?

When math takes a theoretical turn like this it reminds me of god arguments all over again.

What would make god real to an athiest? The shift from concept to reality would it not?

is a never ending number considered a concrete number? is it really a defined number? If so why would it be considered one?