0.999... = 1

[Aeron]

0.333... = 1/3

3 * 0.333... = 3 * 1/3

0.999... = (3*1)/3

0.999... = 1

c = 0.999...

10c = 9.99...

10c - c = 9.99... - 0.999...

9c = 9

c = 1

Thus, 0.999... = 1

http://en.wikipedia.org/wiki/0.999

[Gamefreek]

We learned about that in 9th grade lol

[Jigga]

I knew that since primary school.

[erorr404]

Interesting...

[Jani]

Floating point > you.

[gooch]

the only flaw is that infinity never ends,

and 1 does so they arnt the same

[paul527]

well, .3333.. is equal to 1/3 and .6666.... is equal to 2/3

so why wouldn't .9999.... be equal to 1?

[MrJax]

well, .3333.. is equal to 1/3 and .6666.... is equal to 2/3

so why wouldn't .9999.... be equal to 1?

0.3333.. is not equal to 1/3

You can't represent 1/3 in a plain number, its infinite. It just makes it easier to ignore the fact that they're different.

[Jani]

That's why I prefer finite numbers

[Ransom]

I could swear this exact same conversation came up somewhere in the MTA world... long, long ago.

Punch .999999..... into a TI calc and you'll get 1. Its retarded math like imaginary numbers and stuff I guess we just aren't allowed to believe each numerical representation doesn't represent that exact value.

Its just like, for example, how a number can be infinitely small. .0000..........1. You'd have to think logically that there has to be only a certain amount of space between 1 and 0. Crazy stuff.

Edited January 1, 2007 by Guest

[Blokker_1999]

sure, i posted it in #mta some time ago, that prolly why Aeron put it up here .

What they try to proof here is not that 0.999999999999 == 1 but that 0.9999 followed by an infinite number of 9s == 1.

0.33333... isn't a plain number, it is a never ending number, but it does equal 1/3. so 0.99999 (going on to the end of times) equals 1 .

Infinite is strange cause infinite - 1 == infinite again.

[paul527]

0.333... = 1/3

3 * 0.333... = 3 * 1/3

0.33333... isn't a plain number, it is a never ending number, but it does equal 1/3.

then

0.3333.. is not equal to 1/3

You can't represent 1/3 in a plain number, its infinite. It just makes it easier to ignore the fact that they're different.

i said 0.33333... is equal to 1/3 , was i wrong?

i just want things to be clear, i got nothing agianst Jax

[darkdreamingdan]

0.333... = 1/3

3 * 0.333... = 3 * 1/3

0.33333... isn't a plain number, it is a never ending number, but it does equal 1/3.

then

0.3333.. is not equal to 1/3

You can't represent 1/3 in a plain number, its infinite. It just makes it easier to ignore the fact that they're different.

i said 0.33333... is equal to 1/3 , was i wrong?

i just want things to be clear, i got nothing agianst Jax

don't worry there's nothing wrong with hating jax. we all have our reasons