NationStates Jolt Archive

(( 0.9~ = 0.9999999999999999999999... ))

I for one do not see any way that this can be doubted. Some say that no matter how much nines you add, it will always be less than 1. But...

1/9 = 0.1~
2/9 = 0.2~
3/9 = 0.3~
4/9 = 0.4~
5/9 = 0.5~
6/9 = 0.6~
7/9 = 0.7~
8/9 = 0.8~
9/9 = 0.9~
9/9 = 1

Whoa that's wierd. It's like the square root of 2.

I could really care less :roll:

There's about a dozen proofs you can do to show that .9999 repeating = 1. There's calc proofs, algebraic proofs, number system proofs, the whole 9 yards, pardon the slight pun. Maybe I'll post 'em all later if I'm not lazy.

Yo LUE...whats your original username on LUE?

Mine used to be Annoyin Telemarketer before I got baleeted by the mods....

small world isn't it?

There's about a dozen proofs you can do to show that .9999 repeating = 1. There's calc proofs, algebraic proofs, number system proofs, the whole 9 yards, pardon the slight pun. Maybe I'll post 'em all later if I'm not lazy.

I dont care what proofs you have the fact is that if i have 9 pencils that IS NOT 10 pencils... :D

1/3=.333~
2/3=.666~
3/3=.999~
3/3=1.00

Be back later LUE...reply to me

its like 1/3

33.3333

66.6666

99.9999= 1.

WOO I love these...

1/11: 0.090909~
2/11: 0.181818~
3/11: 0.272727~
4/11: 0.363636~
5/11: 0.454545~
6/11: 0.545454~
7/11: 0.636363~
8/11: 0.727272~
9/11: 0.818181~
10/11: 0.909090~
11/11: 0.999999~
11/11: 1.0

Hehehe.

my original LUEsername is "I am U", and it isn't banned yet!

where are yo guys getting this 3/3=0.999 crap? 3/3 = 1

where are yo guys getting this 3/3=0.999 crap? 3/3 = 1

They are following a numerical pattern.

If 1/3=.333~ and 2/3=.666~ then 3/3 should =.999~.

Its mostly perplexing because calculators have a habit of rounding.

In Mathematics Over-arching rules always take precedent over the exceptions. If a Law dictates that a number divided by itself = 1 then there is nothing to argue about :]

I know there are lots of mathematical proofs to show that 0.9 ever-repeating is equal to 1. But what about the common sense proof? Think about it for a moment, you'll see what I mean. 8)
-II

Oh, I get it. You're rounding wrong. .66 rounds up to .7 or .67, not .6

it should look like this

1/3=.333~
2/3=.667~
3/3=1.000 (or .333+.667)

I know there are lots of mathematical proofs to show that 0.9 ever-repeating is equal to 1. But what about the common sense proof? Think about it for a moment, you'll see what I mean. 8)
-II.999 is not equal to 1. You learn in calculus that there can be a BIG difference between .999 and 1.

Try f(x)=1/(x-1)^2 on the interval from 0 to 1... You can get as close to 1 as possible, and get a result infinitly bigger and bigger, but if you put x=1 into the equation, you get a division by zero.

I know there are lots of mathematical proofs to show that 0.9 ever-repeating is equal to 1. But what about the common sense proof? Think about it for a moment, you'll see what I mean. 8)
-II

How are you founded in the future?

Raysia - haven't taken calc; don't have it here. I would think it's integrated in the later math P courses, but I haven't taken it yet...and while I'm quite sure you're correct, how many people have a) the mathematical knowledge and ability to figure out your equation, and b) care what it proves? For most people, a common sense answer is far simpler to understand and use in everyday life. With that said, I bow to your obviously superior knowledge.
-II

I know there are lots of mathematical proofs to show that 0.9 ever-repeating is equal to 1. But what about the common sense proof? Think about it for a moment, you'll see what I mean. 8)
-II

How are you founded in the future?

Wait...Nevermind.

OK

Oh, I get it. You're rounding wrong. .66 rounds up to .7 or .67, not .6

it should look like this

1/3=.333~
2/3=.667~
3/3=1.000 (or .333+.667)

who says we were rounding it?

Oh, I get it. You're rounding wrong. .66 rounds up to .7 or .67, not .6

it should look like this

1/3=.333~
2/3=.667~
3/3=1.000 (or .333+.667)

who says we were rounding it?the ~ means rounded/estimated

People are misunderstanding. .999 does not equal 1.

.9999 repeating infinitely does.

For two numbers to exist, there must be a number in between them. You cannot place a number in between .99999 repeating infinitely and 1. Therefore they must be equal.

And Raysia, you're rounding thing is flawed. Rounding to to .667 gives a finite end to an infinite number sequence, therefore throwing the entire sequence off by the amount you rounded.

Anarchic LUE, what's your GameFAQs username?

Oh, I get it. You're rounding wrong. .66 rounds up to .7 or .67, not .6

it should look like this

1/3=.333~
2/3=.667~
3/3=1.000 (or .333+.667)

who says we were rounding it?the ~ means rounded/estimated

That's not what he meant, Raysia, he was using the tilde as a replacement for the repeating symbol.

Raysia - haven't taken calc; don't have it here. I would think it's integrated in the later math P courses, but I haven't taken it yet...and while I'm quite sure you're correct, how many people have a) the mathematical knowledge and ability to figure out your equation, and b) care what it proves? For most people, a common sense answer is far simpler to understand and use in everyday life. With that said, I bow to your obviously superior knowledge.
-IILOL y=1/((x-1)^2)

when x=0.9, y=100
when x=0.99, y=10000
when x=0.999, y=1000000
when x=0.9999, y=100000000
when x=0.99999, y=10000000000
when x=0.999999, y=1000000000000
when x=1, y does not exist.

Therefore, .99999999999999999999999999 does NOT equal one

.9999 repeating infinitely does.?Ohhh... yeah, but show me an equation that gets .999 repeating infinitely... it's impossible

(( 0.9~ = 0.9999999999999999999999... ))

I for one do not see any way that this can be doubted. Some say that no matter how much nines you add, it will always be less than 1. But...

1/9 = 0.1~
2/9 = 0.2~
3/9 = 0.3~
4/9 = 0.4~
5/9 = 0.5~
6/9 = 0.6~
7/9 = 0.7~
8/9 = 0.8~
9/9 = 0.9~
9/9 = 1

Read the first line. That's what I meant.

(( 0.9~ = 0.9999999999999999999999... ))

I for one do not see any way that this can be doubted. Some say that no matter how much nines you add, it will always be less than 1. But...

1/9 = 0.1~
2/9 = 0.2~
3/9 = 0.3~
4/9 = 0.4~
5/9 = 0.5~
6/9 = 0.6~
7/9 = 0.7~
8/9 = 0.8~
9/9 = 0.9~
9/9 = 1

Read the first line. That's what I meant.Ohhh... yeah, but show me an equation that gets .999 repeating infinitely... it's impossible

.9999 repeating infinitely does.?Ohhh... yeah, but show me an equation that gets .999 repeating infinitely... it's impossible

(( If "~" means that it repeats forever ))

(1/9)*9

0.1~*9

0.111111111111111... add to
0.111111111111111... add to
0.111111111111111... and so on 9 times

0.1~ * 9 = 0.9~

(1/9)*9 = 0.9~

my original LUEsername is "I am U", and it isn't banned yet!

ha...n00b....how long ya been there?

.9999 repeating infinitely does.?Ohhh... yeah, but show me an equation that gets .999 repeating infinitely... it's impossible

3 x 1/3, which is the same as 3 x .33333333333 repeating infinitely.

.9999 repeating infinitely does.?Ohhh... yeah, but show me an equation that gets .999 repeating infinitely... it's impossible

(1/11) x 11 = 0.999 repeating

my original LUEsername is "I am U", and it isn't banned yet!

ha...n00b....how long ya been there?

since the Dark Cobra Era.
I was around for Black LUEsday.

my original LUEsername is "I am U", and it isn't banned yet!

ha...n00b....how long ya been there?

since the Dark Cobra Era.
I was around for Black LUEsday.

*Whistles* I missed having enough Karma for LUE on Black LUEsday by about.....3 days. Damn you, whatever moderation got me that -3 Karma, damn you.

I could really care less :roll:

So that means you care! Hah!

someone show me an equation that gets the answer of .999999.......

One big error is the fact that 1/3 does not equal .333333333~. 1/3 is an irrational number, like pi, or square route of 2. .3333.... will get arbitrarily close to 1/3, but will never actually equal 1/3

someone show me an equation that gets the answer of .999999.......

One big error is the fact that 1/3 does not equal .333333333~ 1/3 is an irrational number, like pi, or square route of 2. .3333.... will get arbitrarily close to 1/3, but will never actually equal 1/3

NO NO NO. Bad Raysia no cookie. 1/3 IS rational, it is also radical (ie non-terminating)

edit note: A rational number can be expressed as a ratio of two integers with no common factors without loss of generality (eg 6/4 = 3/2)

someone show me an equation that gets the answer of .999999.......

One big error is the fact that 1/3 does not equal .333333333~. 1/3 is an irrational number, like pi, or square route of 2. .3333.... will get arbitrarily close to 1/3, but will never actually equal 1/3


Slight problem there: Any number that repeats itself infinitely IS rational. An irrational is a non-repeating, non-terminating decimal.

Phhh...you guys are gh3y. 1 totally pwn0rz .999!11!!!!.

n00bs.

Phhh...you guys are gh3y. 1 totally pwn0rz .999!11!!!!.

n00bs.

nope, sorry, 1/3 is not a nice number for calculators.. you HAVE to round it to .333 to use it on a calculator, just like with pi, or square route of 2.

.33333333333333333333.... does not equal 1/3, simply because the number will get abritraily close to 1/3, but not equal.

someone show me an equation that gets the answer of .999999.......

One big error is the fact that 1/3 does not equal .333333333~. 1/3 is an irrational number, like pi, or square route of 2. .3333.... will get arbitrarily close to 1/3, but will never actually equal 1/3


Slight problem there: Any number that repeats itself infinitely IS rational. An irrational is a non-repeating, non-terminating decimal.OK, changed terminolofy in last post, too "not a nice number" :)

Raysia, we're just telling you the universally recognized definitions of rational and irrational numbers. For a number to be irrational, it must contain a non-repeating, non-terminating decimal. Since .3333~ repeats itself, it is therefore rational. We're not arguing that it's not a definite number. We're just saying that by the laws of mathematics, .3333 must equal 1/3; therefore, .99999 must equal 1.

Jeebus, this is going as fast as some of the topics about this on LUE used to. You go tpost something and by the time you're done typing there's two more posts up.

Raysia, we're just telling you the universally recognized definitions of rational and irrational numbers. For a number to be irrational, it must contain a non-repeating, non-terminating decimal. Since .3333~ repeats itself, it is therefore rational. We're not arguing that it's not a definite number. We're just saying that by the laws of mathematics, .3333 must equal 1/3; therefore, .99999 must equal 1.Show me a mathematical law that say 1/3 = .33333333.... Simple long division will show that it is impossible to get 1 divided 3 times without some sort of neglegible remainder.

Well, correction. It's not as much mathematical law as the bounds of possibility. You cannot have a statable remainder with an infinitely repeating number, for that would mean that it was finite and therefore could be subtracted from something else.

isnt it better to have 9 than 1 anyway?


-miss- :roll:

Well, correction. It's not as much mathematical law as the bounds of possibility. You cannot have a statable remainder with an infinitely repeating number, for that would mean that it was finite and therefore could be subtracted from something else.You're thinking like a calculator.

We use symbols or fractions to represent numbers that can not be exactly written down if divided out... such as pi, or square root 2, or fractions like 1/3 that can not be divided out all the way.

The statement 1/3=.333333.....-> infinity is false.