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Does .999999999999 (repeated) = 1?

Featured Replies

 

I think it does because:

 

1/9  =  .111111 (repeated)

 

5/9 = .5555555 (repeated)

 

9/9 = .9999999 (repeated)

 

but 9/9 = 1 in fraction form....

 

Thoughts?

 

You are right that it does, but your proof is incorrect. 9/9 can not be .999.. if it also equals 1.

 

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
 
X = 0.999... = 1
 
Therefore 0.999... = 1

 

 

That's like saying when my eyes are blue and yours are brown that:

 

Eyes = Blue

Eyes = Brown

Blue = Brown

 

Two different numbers can never be the same number, whatever flawed mathematical formulas you will use for it. I've read that explanation before and I'm sure that's technically the correct mathemetical answer, but it's just bullshit.

 

Simple logic is that two different numbers are not the same number. Simple logic also shows us that there is no 'infinite' so this entire theory is an empty shell.

 

Also, to give a reply which is someone on the same wave length:

 

10x = 9,9999...

9x= 9

8x = 9 - 0,999999....

8x = ?????????

 

Explain that one to me.

No it will not. It will just continue getting closer and closer to 1, but will never actually become 1.

Its the other way around in actuality .999(repeating) is not a real number,

1/9 = .111(repating) but actually that number can't be expressed without the fraction form

the whole repeating thing is just because it can't be defined, in .1111(repeating) there is always a small chunk that is more than what is expressed by the next number in the decimal and this goes on infinitely

Edited by LifezHatred

 

I'm very serious. Please explain how my post is "the most illogical thread ever written" (even more illogical, somehow, than this: http://osbot.org/forum/topic/23574-hacked/). Also, if you think a post that says, "3 + 3 = 5 The answer is 5 because there was a pattern before it hurrr durrrr" isn't illogical, then you should get yourself checked out. Seriously.

 

He is saying that just because you found a pattern, it does not mean it is true forever.

2 does not equal 1

.9999 repeating does not equal 1

100000000 does not equal 9999999999

.9999 repeating does not equal 1

 

I'm very serious. Please explain how my post is "the most illogical thread ever written" (even more illogical, somehow, than this: http://osbot.org/forum/topic/23574-hacked/). Also, if you think a post that says, "3 + 3 = 5 The answer is 5 because there was a pattern before it hurrr durrrr" isn't illogical, then you should get yourself checked out. Seriously.

 

He is saying that just because you found a pattern, it does not mean it is true forever.

2 does not equal 1

.9999 repeating does not equal 1

100000000 does not equal 9999999999

.9999 repeating does not equal 1

 

ehh, your logic is bleak 

 

 

I think it does because:

 

1/9  =  .111111 (repeated)

 

5/9 = .5555555 (repeated)

 

9/9 = .9999999 (repeated)

 

but 9/9 = 1 in fraction form....

 

Thoughts?

 

You are right that it does, but your proof is incorrect. 9/9 can not be .999.. if it also equals 1.

 

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
 
X = 0.999... = 1
 
Therefore 0.999... = 1

 

 

That's like saying when my eyes are blue and yours are brown that:

 

Eyes = Blue

Eyes = Brown

Blue = Brown

 

Two different numbers can never be the same number, whatever flawed mathematical formulas you will use for it. I've read that explanation before and I'm sure that's technically the correct mathemetical answer, but it's just bullshit.

 

Simple logic is that two different numbers are not the same number. Simple logic also shows us that there is no 'infinite' so this entire theory is an empty shell.

 

Also, to give a reply which is someone on the same wave length:

 

10x = 9,9999...

9x= 9

8x = 9 - 0,999999....

8x = ?????????

 

Explain that one to me.

 

 

Flawed method...

 

if 10x = 9.999... then

9x ≠ 9

 

And about the eye thing, you are completely wrong there because in my formula, x was a constant. In yours, the variable Eyes is not. So that is a logical fallacy.

Edited by Zappa

 

 

I think it does because:

 

1/9  =  .111111 (repeated)

 

5/9 = .5555555 (repeated)

 

9/9 = .9999999 (repeated)

 

but 9/9 = 1 in fraction form....

 

Thoughts?

 

You are right that it does, but your proof is incorrect. 9/9 can not be .999.. if it also equals 1.

 

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
 
X = 0.999... = 1
 
Therefore 0.999... = 1

 

 

That's like saying when my eyes are blue and yours are brown that:

 

Eyes = Blue

Eyes = Brown

Blue = Brown

 

Two different numbers can never be the same number, whatever flawed mathematical formulas you will use for it. I've read that explanation before and I'm sure that's technically the correct mathemetical answer, but it's just bullshit.

 

Simple logic is that two different numbers are not the same number. Simple logic also shows us that there is no 'infinite' so this entire theory is an empty shell.

 

Also, to give a reply which is someone on the same wave length:

 

10x = 9,9999...

9x= 9

8x = 9 - 0,999999....

8x = ?????????

 

Explain that one to me.

 

Hmm i don't get why people don't realize that humans came up with the math system and humans came up with the idea of infinite and that math is simply a definable pattern and the idea of infinite is simply expressing the fact that the pattern can always contain more or less or that it has no limited amount of expansion/contraction, it can always get larger and can always get smaller

Edited by LifezHatred

 

 

 

I think it does because:

 

1/9  =  .111111 (repeated)

 

5/9 = .5555555 (repeated)

 

9/9 = .9999999 (repeated)

 

but 9/9 = 1 in fraction form....

 

Thoughts?

 

You are right that it does, but your proof is incorrect. 9/9 can not be .999.. if it also equals 1.

 

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
 
X = 0.999... = 1
 
Therefore 0.999... = 1

 

 

That's like saying when my eyes are blue and yours are brown that:

 

Eyes = Blue

Eyes = Brown

Blue = Brown

 

Two different numbers can never be the same number, whatever flawed mathematical formulas you will use for it. I've read that explanation before and I'm sure that's technically the correct mathemetical answer, but it's just bullshit.

 

Simple logic is that two different numbers are not the same number. Simple logic also shows us that there is no 'infinite' so this entire theory is an empty shell.

 

Also, to give a reply which is someone on the same wave length:

 

10x = 9,9999...

9x= 9

8x = 9 - 0,999999....

8x = ?????????

 

Explain that one to me.

 

 

Flawed method...

 

if 10x = 9.999... then

9x ≠ 9

 

 

That's your own flawed method I quoted mate.

 

Edited by Sjaak

 

 

 

 

I think it does because:

 

1/9  =  .111111 (repeated)

 

5/9 = .5555555 (repeated)

 

9/9 = .9999999 (repeated)

 

but 9/9 = 1 in fraction form....

 

Thoughts?

 

You are right that it does, but your proof is incorrect. 9/9 can not be .999.. if it also equals 1.

 

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
 
X = 0.999... = 1
 
Therefore 0.999... = 1

 

 

That's like saying when my eyes are blue and yours are brown that:

 

Eyes = Blue

Eyes = Brown

Blue = Brown

 

Two different numbers can never be the same number, whatever flawed mathematical formulas you will use for it. I've read that explanation before and I'm sure that's technically the correct mathemetical answer, but it's just bullshit.

 

Simple logic is that two different numbers are not the same number. Simple logic also shows us that there is no 'infinite' so this entire theory is an empty shell.

 

Also, to give a reply which is someone on the same wave length:

 

10x = 9,9999...

9x= 9

8x = 9 - 0,999999....

8x = ?????????

 

Explain that one to me.

 

 

Flawed method...

 

if 10x = 9.999... then

9x ≠ 9

 

 

That's your own flawed method I quoted mate.

 

 

Ehh this is something that is weird with the decimal system, which has to do with a number being smaller than one, we simply do a base ten system of a smaller amount. In other words, 1.2345 (2 is 2/10, 3 is 3/100, 4 is 4/1000, 5 is 5/10000)

When you take (2/10) *10 you simply get 2 right?

So The flawed part is a repetitive number, you have .9999(repeats 9 after forever)

which is like saying the next number is always 9/10^(decimal place (in this case infinite))

when you simply times .9999(repeating) by 10 your first number becomes a whole number or 9

which leaves us with 9.999(repeating)

so if X = .999(repeating)

we times this by 10 we know 10X = 9.999(repeating)

but if we do 10X - X

we get 9X = 9, cuz X = .9999(repeating)

it pretty much makes a infinite number finite

and then we simply divide the equation by 9

(9X=9)/9

X = 1 but we started with X = .9999(repeating)

but then again we should assume that .999(repeating) isn't a correct number because of this,  we turned a finite number in the first place into a infinite number

 

Edited by LifezHatred

 

 

 

 

I think it does because:

 

1/9  =  .111111 (repeated)

 

5/9 = .5555555 (repeated)

 

9/9 = .9999999 (repeated)

 

but 9/9 = 1 in fraction form....

 

Thoughts?

 

You are right that it does, but your proof is incorrect. 9/9 can not be .999.. if it also equals 1.

 

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
 
X = 0.999... = 1
 
Therefore 0.999... = 1

 

 

That's like saying when my eyes are blue and yours are brown that:

 

Eyes = Blue

Eyes = Brown

Blue = Brown

 

Two different numbers can never be the same number, whatever flawed mathematical formulas you will use for it. I've read that explanation before and I'm sure that's technically the correct mathemetical answer, but it's just bullshit.

 

Simple logic is that two different numbers are not the same number. Simple logic also shows us that there is no 'infinite' so this entire theory is an empty shell.

 

Also, to give a reply which is someone on the same wave length:

 

10x = 9,9999...

9x= 9

8x = 9 - 0,999999....

8x = ?????????

 

Explain that one to me.

 

 

Flawed method...

 

if 10x = 9.999... then

9x ≠ 9

 

 

That's your own flawed method I quoted mate.

 

 

 

*sigh*

 

You missed the entire middle steps, you went from step 1 to step 4 lol

  • Author

Zappa don't bother lol. This "Sjaak" doesn't seem like he is about to admit to being wrong.

I'm going to explain this to you using some basic fucking Algebra II.

 

f(x) = 1 / x

 

That is a rational function with a domain of 0 and a vertical asymptote at 0 and a horizontal asymptote at 0. The graph will be a hyperbola. It will move as close to 0 on the x axis but WILL NEVER EVER EVER EVER EVER EVER HIT IT. It will move as close to 0 on the y axis as possible but WILL NEVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER HIT IT.

 

It has a domain of (-infi, 0)U(0, infi) but it does not include 0 as DECIMAL(infinity 0s 1) does not equal 0.

The range is (-infi, 0)U(0, infi) but it does not include 0 as DECIMAL(infinity 0s1) does not equal 0.

Edited by Assume

I'm going to explain this to you using some basic fucking Algebra II.

 

f(x) = 1 / x

 

That is a rational function with a domain of 0 and a vertical asymptote at 0 and a horizontal asymptote at 0. The graph will be a hyperbola. It will move as close to 0 on the x axis but WILL NEVER EVER EVER EVER EVER EVER HIT IT. It will move as close to 0 on the y axis as possible but WILL NEVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER EVER HIT IT.

 

It has a domain of (-infi, 0)U(0, infi) but it does not include 0 as DECIMAL(infinity 0s 1) does not equal 0.

The range is (-infi, 0)U(0, infi) but it does not include 0 as DECIMAL(infinity 0s1) does not equal 0.

^^ very fine way of explaining it thanks

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