Does 0.999... equal 1?

[xxgodfatherxx]

some fractions cannot be properly recreated in decimal form.

This flaw in our number system doesn't mean that things are what they are not.

The only reason you can "prove" .999... = 1 is because of the flaws in the way we do math.

I agree.. All these numbers are rather confusing to me so I brought it up to my Algebra teacher and he started yackin about shit and I didn't really listen..But the fault lies in our number system, for exactness it is .999999 ect, but i think for a bit of modern convenience we just round it up lol

 

[Exploitable Database]

I wouldn't suggest trying to debate agisent this, I cannot find a single thing to say in reply to it, your right, no debate what so ever, logically, you've already won.

 

[WhereIsTheGod]

Ye, seriously. That's just ridiculous. >_>

Eh, I see. There is that 0.0000000001 in between.

.000000000000000001 would be infinitely larger than the difference between 1-.9...

The difference is so small, you would not be able to write any estimate of the number unless you used zero.

 

[The Diabolical Jeff]

it does equal 1 its all based on the way the problem is set up

 

[Drengen]

Interesting topic for a math genie (nerd) like me.

It just sounds rediculous that 0.99 should be equal 1. By normal sence, it isn't possible.

If you guys can provide a link where some experts say, that 1/3 = 0.33 (infinite 3), i would be greatfull . Since it's not . 1/3 = 1/3 not = 0.33 .... this topic is the reason why ..

Yeah, At first I thought no, but i remembered it from sooo long ago. Needed to refresh my memory.
http://www.mathsisfun.com/9recurring.html
That's how i learnt it.

•

Let X = 0.999...
•

Then 10X = 9.999...

Subtract X from each side to give us:
•

9X = 9.999... - X

but we know that X is 0.999..., so:
•

9X = 9.999... - 0.999...
or: •

9X = 9


Divide both sides by 9:
•

X = 1


But hang on a moment I thought we said X was equal to 0.999... ?

Yes, it does, but from our calculations X is also equal to 1. So:
•

X = 0.999... = 1



•

Therefore 0.999... = 1

Okay. That was now pretty interesting, but again, failing.

Okay, so. The difference between 1 and 0.99 (infinite 9's) is Very very tinny small. okay?

•

Let X = 0.999...
•

Then 10X = 9.999...

This might sound impossible
but if x = 0.99 (inifinite 9)

then 10x is NOT 9.99 (infinite 9).

For example, if x was "0.735", 10x would be "7.35", og "7.350". not "7.355" or "7.3555555 (infinite 5's)"

with x as 0.9999, 10x will be:

9.99 (infinite 9) and then a 0 in the end. (Where "in the end" means after the never ending "infinite").

By physical law, there isn't a "after infinite", so I might get some critic on my post. But there's no way proving it. Other than thinking logic.

 

[Kurt Cobain]

ok nevermind, I just saw that someone else pointed it out more detailed.


It's a mathematically law this 10X - X = 9X thing , the post above me quotes it.

Try it on you calc, if you type in .99999999999999999999999999999999999999 and press enters gonna output 1.

xD

Also Drengen, infinite is proably not changed and multiplying something by 10 is basically moving the comma when its infinite since as you said, there is no after infinite.

 

[pedofile]

NO! .999 is .001 less than 1.

3/3 is a COMPLETE which makes it 1.

technically if you want to get all TECHNICAL 1/3 cannot be changed into a decimal and can only remain as a fraction since it is uneven.

2/3 can only remain as a fraction also.

3/3 is = to 1 though.

Just because they have a denominator of 3 doesn't mean they have to follow the same pattern.

 

[Da_Rage]

Limit h --> 1

I'm pretty sure this has to do with limits, calculus.

 

[Dorito]

Let's put this in the most simplest way possible.

1.00000

0.99999

Are they the same?

No.

I could have 1.00000 pieces of pizza.

The other guy could have 0.99999 pieces of pizza.

Who would get more? Me.

How can you say they are the same when they are two separate values that when divided or subtracted, one will give you 1, while the other will give you, *gasph*, not 1.

I know this isn't exactly a great example, but for one, I could care less, because I could use the most advanced math terms you'd ever heard, and at the end, you'd still take in just as much as this simple example would give you.

 

[kingnick0694]

Yeah, it definitely does not equal one, but, well... That's why we invented rounding or somethin...

 

[Rshopper]

Wow no offense but a bunch of you are fucking retards of course .9 repeating = 1 it's not hard at all to figure out

 

[Shredderbeam]

How is it equal to one?

 

[Le_Dark_Lord]

Hm, a friend told me something quite strange the other day, that the number 0.999... continued on for eternity equals to the number, 1.

Reasons

Take the fraction, ⅓ for instance.

⅓= 0.333...the decimal that keeps going on.
⅔= 0.666... the decimal that keeps going on.
3/3= But would it make sense for it to be 0.999... as 0.333 x 3 would equal to 0.999.... and that's 3/3 which equals to 1.

Is there any number between 0.999... and the number 1?

In other fractions, such as... x/9. Let x be the whole number.

Let's take a look at these numbers.

1/9= 0.111...
2/9= 0.222...
etc etc
8/9= 0.888...
So wouldn't it be reasonable for 9/9 = 0.999... which is 1, hence 9/9=1.

I can't get the symbol for the line above the number.


*I now believe that 0.9999999... Does NOT equal 1.*

That is an extremely smart theory.
I like it.
However, if i had 0.999% of a cake, I would have less then someone with 1% of a cake.

 

[A_S_A]

It does not. But it also depends on what you are doing. If you'r simply calculating nothing..(School math) Then most teachers will tell you to round..so, .999... = 1

But when it comes to working with Nasa...Any simple decimal can cause billions of dollars , so .999999999999 Does not Equal to 1..

 

[ownﺉ]

1>0.99999999....
because 1's first number is a 1, and 0,999..'s first number is a 0

 

[Annex]

I agree.. All these numbers are rather confusing to me so I brought it up to my Algebra teacher and he started yackin about shit and I didn't really listen..But the fault lies in our number system, for exactness it is .999999 ect, but i think for a bit of modern convenience we just round it up lol

Not true at all, fractions are simply division, 1/2 is simply 1 divided by 2. 3/3 IS NOT 0.9999999 if you divide 3 by 3 you get 1. End of this stupid thread. Since we can't properly divide 1 by 3, when we use 1/3 we just round it down to 0.33, when we have 2/3 we round it up, to 0.67, and 0.67 + 0.33 = 1. OH MY GOD ITS A MIRACLE IT ADDED TO 1. No it isn't actually, I just took math at an applied or greater level, now you make points like this when you start to listen to the essential kids (people with learning problems)

It does not. But it also depends on what you are doing. If you'r simply calculating nothing..(School math) Then most teachers will tell you to round..so, .999... = 1

But when it comes to working with Nasa...Any simple decimal can cause billions of dollars , so .999999999999 Does not Equal to 1..

Exactly the point that we are proving here.

 

[Infidel Awakening]

Wow no offense but a bunch of you are fucking retards of course .9 repeating = 1 it's not hard at all to figure out

Ok, my rebuttal...

Wow, much offense to you, how can you sit here calling people who know what the fuck they're talking about retards? You just pop up and say "of course .9 repeating = 1 it's not hard at all to figure out"
Yet you present no evidence or support for your claim, whatsoever.
They are two different values.
.9999999.... is NOT 1.
No matter how far you go with the repeating 9, that's all it will remain, is a sequence of 9s. Never will that equal 1.000000000000, or anything other than .9repeating, for that matter.

Sure you can bring in fractions, but the question is not about fractions, it's if .9repeating equals 1, plain and simple. The answer is no.

 

[The Pkkid V6]

I say no.
They are 2 different numbers, quite close, but still different.

 

[ZEZYOMA]

Well if your talking about fractions it would make since, but still .9999999999999999999999999999999999999 of a whole entire pizza isnt a whole pizza lol. but it is 3/3 of a pizza with a microscopical peice missing

=]

 

Of course not. Even it it was .9999999999 it's still missing.0000000001, etc.