Is 1 = 0.9999......

[rubix]

couldn't this be done with any number, like 0.3333... = 1? seems like something is off here.

x = 0.3333...
10x = 3.3333...
10x - x = 3.3333... - 0.3333...
3x = 3
x = 1

this is probably a repost but in about 7 years i'll be done reading the other posts here.

do infinite numbers have a rate of expansion or are they all assumed to have all the "..." at the exact same time? i don't like math.

 

[a7berwill]

No, not at all.

10x-x = 9x, not 3x. So you get 9x = 3, or x = 1/3, correctly.

 

[a7berwill]

By the way, can we agree that the number 0.999..., which really represents an infinite sum (of 9/10^n), converges to 1? Whether or not this is equal to 1 requires a rigorous definition of equality.

 

[Chu]

Originally posted by: a7berwill
By the way, can we agree that the number 0.999..., which really represents an infinite sum (of 9/10^n), converges to 1? Whether or not this is equal to 1 requires a rigorous definition of equality.

Nope. The whole reason this stupid debate goes on is that madrat insists on a different definition of infinity then everyone in mathematics uses, hense what he means by "infinite sum" is probably not what you mean. We've been through this part of the debate before :frown:

-Chu

 

[Kyteland]

Originally posted by: rubix
couldn't this be done with any number, like 0.3333... = 1? seems like something is off here.

x = 0.3333...
10x = 3.3333...
10x - x = 3.3333... - 0.3333...
3x = 3
x = 1

this is probably a repost but in about 7 years i'll be done reading the other posts here.

do infinite numbers have a rate of expansion or are they all assumed to have all the "..." at the exact same time? i don't like math.

Your math errors start following the bolded line. It should read like this:
x = 0.3333...
10x = 3.3333...
10x - x = 3.3333... - 0.3333...
9x = 3
x = 1/3


10x-x = 9x != 3x

 

[JupiterJones]

What a silly thread.

Read any Number Theory Text.

Hint: Definition of equality.

 

[Foxman2000]

obviously about 550+ people haven't finished any sort of formal calculus class

 

[DevilsAdvocate]

Originally posted by: NTB
Ever heard the phrase "Close enough for government work"? Nate

 

[Mallow]

die thread die!

 

[silverpig]

Originally posted by: Mallow
die thread die!

Quit bumping it then. Geez, you think people would figure it out...

 

[Brutuskend]

Didn't I answer this question already?

 

[bleeb]

Originally posted by: Brutuskend
Didn't I answer this question already?

Answer what? 0.9999... = 1??

 

[StatisticianOG]

Ugh, so many No votes.

Someone probably already mentioned it, but 3*(1/3) = 1.

 

[JustAnAverageGuy]

not this again :sigh;

 

[bleeb]

This thread keeps going, and going and going...

0.9999... != 1.

LOOK! They look NOTHING alike therefore they must not be equal.

 

[Spencer278]

Originally posted by: bleeb
This thread keeps going, and going and going...

0.9999... != 1.

LOOK! They look NOTHING alike therefore they must not be equal.

I agree when I type 0.9999... = 1 into my TI-89 I get a syntex error so they can't be equal.

 

[Martin]

so did you poeple reach a consensus yet? Its been well over a year now.

 

[bleeb]

Originally posted by: MartyTheManiak
so did you poeple reach a consensus yet? Its been well over a year now.

Like all social issues of our time, there will never be a concensus here at ATOT. The "0.9999.. != 1" are right!

 

[DrPizza]

Wow, almost 2000 posts in this thread!

And... the mathematicians are smart enough to know that .9999.... does indeed equal exactly 1.

But, the mathematicians lack the other sort of intelligence to realize that the rest of the people are, mathematically speaking, too stupid or ignorant to accept the fact. Or, maybe they do realize it, but have that "never give up" attitude.

I really hope there's a Heaven. And, when I see St. Peter at the Pearly Gates, I hope he says, "before you get into Heaven, you must answer one question correctly: does .9999... = 1?" Because, you see, I already have to put up with mathematically challenged people for the rest of my life on earth. To spend the rest of eternity with them certainly wouldn't be heaven, it'd be the other place!

heh heh if that isn't a set-up for some witty comebacks...
(but, if you truly had any wits, you'd realize .999... = 1)

 

[StatisticianOG]

Originally posted by: bleeb

Originally posted by: MartyTheManiak
The "0.9999.. != 1" are right!

I'd be interested in reading what you (or anybody who believes 1 != .999...) think 1 - .999... equals then.

 

[moomoo40moo]

I would have to say yes

 

[Martin]

Originally posted by: StatisticianOG

Originally posted by: bleeb

Originally posted by: MartyTheManiak
The "0.9999.. != 1" are right!

I'd be interested in reading what you (or anybody who believes 1 != .999...) think 1 - .999... equals then.

I didn't post that, it was bleeb.

But its been so long, I can't remember what I voted for anyway.


anyway, 3 more posts til 2k.

 

[dartworth]

hmmm

 

[kalster]

it is not

 

[Danman]

2000th post!