Return Styles: Pseud0ch, Terminal, Valhalla, NES, Geocities, Blue Moon. Entire thread

0.9999.... is equal to 1

Name: Krieger 2008-08-29 2:44

I honestly thought that by this time, everyone in the world knew this was true, save those who have absolutely no idea what numbers are.....ok, I'll do my best to explain this to all you would-be trolls.

1/3 = 0.333
now multiply both sides by 3 and you get:
3/3 = 0.9999....
OR
1 = 0.9999....

Now, Let's start with 1 = 0.99999.... this time.
Subtract 0.9999.... from each side and you get:
0 = 0.00000....
Yes, there is a 1 there, but it is exactly aleph null zeros from the decimal.....meaning it kinda isn't there, and that you just subtracted the same number from two numbers and got the same answer for both....thus they must be equal.

Last: between any two unequal real numbers, there are infinitely many numbers. I'd like to challenge anyone to find a number between 0.9999..... and 1. If you can find that number, then you win infinitely many internets, but if not, just admit that 0.999... does, in fact, equal 1.

Name: Anonymous 2008-09-05 23:06

>1
This is a distortion created by our base-10 place-oriented numbering system.  If we had 9 toes and fingers, we'd be saying the same about 5 and possibly 2.

Let's try the same with a base-3 system instead.  Only symbols here are 0, 1, and 2, and the places are 1's, 3's, 9's, 27's, 81's, etc.  I will reinforce the base with angle brackets (i.e., 20<3> = 6<10>)

1<3> / 10<3> = 0.1<3>
2<3> / 10<3> = 0.2<3>
10<3> / 10<3> = 1.0<3>

Sorry, 1 does equal 1 after all.

You can't solve a problem until you use the right set of symbols first.

Newer Posts
Don't change these.
Name: Email:
Entire Thread Thread List