## View Poll Results: Is .9 repeated = 1

Voters
4. This poll is closed
• Yes

2 50.00%
• No

2 50.00%

# Thread: The Long Lost Debate...

1. ## The Long Lost Debate...

Forums used to be all over this thing...

SO .9 repeated, that is, .99999.. for infinity, (or .9~) is exactly equal to 1

Which means that every single decimal value has two decimal representations of that value.

Many do not believe this, even after seeing this proof:

1/3 = .3~

1/3 * 3 = 1 and .3~ * 3 equals .9~

Therefore, 1 = .9~

What are your thoughts?

2. No, .9~ is not 1. It is an irrational number. On a number line, .9~ would have its own spot, it would not lie on 1. If you multiply a number by .9~ you will not get the same answer as when you multiply a number 1. .9~ is approximately equal to one but they are 2 completely different numbers.

3. I'm not saying you are wrong, but I think you would find this article interesting:
https://en.wikipedia.org/wiki/0.999...
Originally Posted by Ferris Bueller
No, .9~ is not 1. It is an irrational number. On a number line, .9~ would have its own spot, it would not lie on 1. If you multiply a number by .9~ you will not get the same answer as when you multiply a number 1. .9~ is approximately equal to one but they are 2 completely different numbers.

4. Originally Posted by Thefurball
I'm not saying you are wrong, but I think you would find this article interesting:
https://en.wikipedia.org/wiki/0.999...
I did, since i'm not well versed in this topic, and I checked out a video as well.

Personally i believe all these proofs are in fact invalid.

Also, the same bright female that made that video made another video showing why the reasons she posted are wrong.

5. ## The Following User Says Thank You to Ferris Bueller For This Useful Post:

Thefurball (03-18-2014)

6. Originally Posted by Ferris Bueller

I did, since i'm not well versed in this topic, and I checked out a video as well

Also, the same bright female that made that video made another video showing why the reasons she posted are wrong.

I'm watching the video now and will explain why the disproofs are wrong.

1. In the first example she had the following equation:

.2~ = x
2.2~ = 2x <--- Here is a problem. .2~ * 2 = .4~ OR if adding 2 then it should be x + 2
2.2~ - x = x
2=1

2.

There are different levels of infinity, all within the same infinity. Example: you own a hotel with an infinite amount of rooms. Then, and infinite amount of people show up. You can provide everyone with a room. However, another infinite amount of people show up, but the hotel is full. To solve the problem, you tell everyone in the hotel to move to an even room. There is then an infinite amount of rooms available, and 2 groups of infinite people can fit in one group of infinite rooms. The same works for .9~

Also, .0~ with a one on the end (or any value at all) is infinitesimal.. or in other words 0.

3.

Wow it's an april fool's joke.. did you just set me up lol

7. ## The Following User Says Thank You to Thefurball For This Useful Post:

Ferris Bueller (03-18-2014)

8. Originally Posted by Thefurball
I'm watching the video now and will explain why the disproofs are wrong.

1. In the first example she had the following equation:

.2~ = x
2.2~ = 2x <--- Here is a problem. .2~ * 2 = .4~ OR if adding 2 then it should be x + 2
2.2~ - x = x
2=1

2.

There are different levels of infinity, all within the same infinity. Example: you own a hotel with an infinite amount of rooms. Then, and infinite amount of people show up. You can provide everyone with a room. However, another infinite amount of people show up, but the hotel is full. To solve the problem, you tell everyone in the hotel to move to an even room. There is then an infinite amount of rooms available, and 2 groups of infinite people can fit in one group of infinite rooms. The same works for .9~

Also, .0~ with a one on the end (or any value at all) is infinitesimal.. or in other words 0.

3.

Wow it's an april fool's joke.. did you just set me up lol
Haha yes mate, .9~ does equal one. I mean hey I take the mathematicians word for it.

9. ## The Following User Says Thank You to Ferris Bueller For This Useful Post:

Thefurball (03-18-2014)

10. Originally Posted by Ferris Bueller

Haha yes mate, .9~ does equal one. I mean hey I take the mathematicians word for it.
lol thanks. You're pretty cool.

P.S. check out the reply I just posted on your video game/sports thread lol

11. ​I used to fight it, but .99999999 technically IS one, even if it seems mathematically contradictory.

12. Kind of a pointless argument as it's use in math isn't that great.

:/