0.99999999... = 1 ?

[celsdogg]

and i think there is a problem with decimals in ure proof. . . i know it repeats, but that is probably where the "error" (if there is one) in the proof is

[Numark318i]

...i quit.

[craig]

0.999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 999999999999999999999999999999 is realy close to 1... but isnt 1. deal with it. altho, with all the 9s at the end, it might add up... but i might just be saying that because of the huge amount of brain damage i have now.

[voca]

interesting theory.

another way to look at it, consider this:

1/3 + 2/3 = 1 (you all know that from grade school.)

now consider that 1/3=.333~ and 2/3=.666~

.333~ + .666~ = .999~


or how about this pattern:

1/9=.111~
2/9=.222~
3/9=.333~
...
7/9=.777~
8/9=.888~
9/9= (you tell me.)


I guess .999~ really does equal 1. :\

[donald1476]

1/3 * 3 = 3/3 sure radian wise, but in integer form it is .333... (1/3) * 3 = .99~, Not 1. theoretically radian wise. Integer it's wrong.

BTW 2/3 = .666...7

[komodo]

[donald1476]

Doesn't work harry.

[voca]

2/3 = .6667 when it's rounded off on the end.

1/3 = .333~
.333~ * 2 = .666~

not that this even matters much. infinity is a hard concept to grasp and as far as I'm concerned an unimportant one.

[komodo]

Originally Posted by donald1476

BTW 2/3 = .666...7

No, 2/3 is .666 repeating. The 7 ONLY appears at the end when it's rounded.

[komodo]

Originally Posted by donald1476

Doesn't work harry.

Fixed it. Here's another pic for this page:

[komodo]

^^ That is mathematical proof that in any base n+1, 0.nnn... is always precisely equal to 1.

In other words,
In base 2, 0.111... = 1
In base 3, 0.222... = 1
In base 4, 0.333... = 1
In base 5, 0.444... = 1
In base 6, 0.555... = 1
In base 7, 0.666... = 1
In base 8, 0.777... = 1
In base 9, 0.888... = 1
In base 10, 0.999... = 1
In base 16, 0.FFF... = 1

[DEATH2000]

^^ I hate u all, ur making my brain hurt.

[donald1476]

In radial terms = 1 because there is no infinite fraction for 3/3.

Step back, think logically and you are saying that one integer is equal to another. It's not possible.
1. Like I said Infinitely repeated integers are not subject to normal mathmatecal procedures.
2. You cannot mix real numbers using radians and integers. 1/3 + 2/3 = 3/3 = 1, .333~+.666~ = .999~.

The number of 9's repeats to a point where it is incomprehensably close to the number one without ever reaching it.

[voca]

Originally Posted by donald1476

In radial terms = 1 because there is no infinite fraction for 3/3.

Step back, think logically and you are saying that one integer is equal to another. It's not possible.
1. Like I said Infinitely repeated integers are not subject to normal mathmatecal procedures.
2. You cannot mix real numbers using radians and integers. 1/3 + 2/3 = 3/3 = 1, .333~+.666~ = .999~.

The number of 9's repeats to a point where it is incomprehensably close to the number one without ever reaching it.

agreed.

[Numark318i]

thi si sjust like that juming to a door thing.

stand ten feet from a door...then go half way there. you are at five feet. now go half way again...ur at 2.5 feet. go half way again...you will never theoretically make it to the door.