Quote (Hammer_Hdin @ Jul 10 2010 01:43am)

I still think that 0.999... = 1, but there is one thing which I am uncertain of.
If you add 0.999... + 0.333... you get 1.333... with a 2 on the end, but this 2 does not exist because it is after an infinite amount of 3's. If you added it up a thousand, a million or a billion times even, the number at the end would never get near infinity. But let's just say that you have this equation: 1 - 0.999... = 0.000... 1 = 0
But let's say we had (1-0.999...)+(1-0.999...)+(1-0.999...)+(1-0.999...)+(1-0.999...) = 0.000... 5, but once again the 5 is ignored because infinity - 1 digit = infinity.
But what if it was (1-0.999...)+(1-0.999...)+(1-0.999...)... meaning you add the numbers in brackets infinity times.
Would the "error" on the end of the infinite series eventually end up so large (infinity digits) that it would replace the numbers that are before the infinite series, and the series itself?
I suppose it sort of revolves around the concept of infinity - infinity = undefined.
Please explain.

Quote

The concept of infinity states that any number after an infinite series does not affect the number, so the 0.000...1 is actually 0.

Quote (chone @ Jul 10 2010 12:30pm)

Ok, I've tried telling you this already.

Look. 0.000...1 is NOT a real number.
You CANNOT say that 1 - 0.999... = 0.000...1 = 0. This is FALSE because 0.000...1 is not a real number.
The correct way is: 1 - 0.999... = 0. That's it. It is exactly equal to 0. Nothing is ignored. There is never a 1 after the 0s.

So, (1-0.999...)+(1-0.999...)+(1-0.999...)+(1-0.999...)+(1-0.999...) = 0, because each (1 - 0.999...) equals 0. There is never any 1 after any 0s.

There is no "error" anywhere.



No. Properties of the real numbers necessitate that 0.000...1 is not a real number, so 0.000...1 is NOT "actually 0"; it's...not... a...real number.

http://mathforum.org/library/drmath/view/57069.html

Also, infinity - infinity also makes no sense, because infinity is not a number. You can't perform algebraic operations to infinity. Infinity is very complex; there are many kinds of infinity. So saying "infinity - infinity" doesn't make any sense.

Quote (Act1 @ Jul 8 2010 04:20am)

Quote (Act1 @ Jul 10 2010 04:27pm)

this should have been the end of it

Quote (CPK001 @ Jul 10 2010 04:32pm)

Yeah but you had the audacity to listen to a moron that posted some crap about nothing.

Be careful where you place your trust Act1, the person you quoted cannot be trusted.

Quote (Hammer_Hdin @ 10 Jul 2010 00:42)

Plus we don't use pennis.
I know England uses pounds and pennis, Australians use dollars and cents and as for Americans, I know they use dollars and some weird 25 cent coin called a quarter, and I think they use diams, nickels and all other crap.
But that doesn't matter because none of us live in America, right?

Quote (J_B @ Jul 10 2010 07:13pm)

lol penis
and wtf diams? what are those

Quote (Hammer_Hdin @ 10 Jul 2010 03:17)

dimes you insolent fool.

Quote (Hammer_Hdin @ Jul 10 2010 07:17pm)

dimes you insolent fool.

Quote (J_B @ Jul 10 2010 07:25pm)

no shit retard
and pennies

you retard

Quote (CPK001 @ Jul 10 2010 07:36pm)

Oi guys keep it down. One thing we can all agree on, I'm better than both of your egos combined.