Interesting question. Does 1.99999999999... = 2

[Wootzeh]

That is correct but we are not talking about 1.99999

we are talking about 1.9999999999999999... (an infinite amount of 9's)




Why does 0.9999... = 1 ?


Basically because there is no rational number small enough to fit between .9999... and 1. Therefore there is no difference making it the same number.

There is no number that can fit between .99999... and 1 because the next number has to be 1, it can't be anything else. My brain hurts

[BL!NKEY]

There is no number that can fit between .99999... and 1 because the next number has to be 1, it can't be anything else. My brain hurts

Yeah so they are mathematically the same number.

Don't in-vision it as a long string of 9s (.9999999999999999999999999) with a 9 at the end because that is not an infinite amount.

[FlyingJesus]

That's like saying there's nothing between A and B in our alphabet, therefore A = B

[Wootzeh]

Time to go editting wiki pages. Nevermind I don't like Wiki, it edits it back straight away

[Aflux]

Say if you have a loaf of bread, and a piece is missing - then it's not a full loaf of bread... it's something different?

[BL!NKEY]

That's like saying there's nothing between A and B in our alphabet, therefore A = B

No what you are saying is that there is nothing between 1 and 2 so 1=2

But there is somehting between 1 and 2 which is 1 unit

There is no number between .999... and 1

Say if you have a loaf of bread, and a piece is missing - then it's not a full loaf of bread... it's something different?

But if you have a loaf of bread and you want to cut a piece off so that there is only .999... of the bread left you cannot cut off a small enough piece no matter how small a knife you have.

[luke-p]

no, 1.999999 = 1.999999

Exactamundo

[FlyingJesus]

There is no number between .999... and 1

There is because the recurrence is infinite - getting from infinity to anything has infinite possibilities.

[Soil]

ya that is one of the ways that makes me think it is true.

You can use .999999999... = 1 which is easier

1/9=.111111...
2/9=.222222...
3/9=.333333...
8/9=.888888...
9/9=.999999...
9/9=1

No ... because you are dividing different numbers by 9 ... so you wont get 1. If you divide 9/9 then you wont get .99999999999 ... It doesnt always follow a pattern.

[Axel]

No it's what it is, if it was 2 it'd just be 2.