Music Banter
Page 4 of 5 « First 23 4 5
Show 40 post(s) from this thread on one page

Music Banter (https://www.musicbanter.com/)
-   The Lounge (https://www.musicbanter.com/lounge/)
-   -   1 = .999..... Right? (https://www.musicbanter.com/lounge/50778-1-999-right.html)

Dr.Seussicide 07-30-2010 09:15 AM
Quote:
Originally Posted by noise (Post 909382)
is this like a cross between "super silly" and "super serious"?
It's a word :p:

But I meant to say superfluous.

swim 07-30-2010 03:05 PM
Quote:
Originally Posted by TheBig3KilledMyRainDog (Post 909332)
I'm kinda turned on right now.
I'm flattered.

Dom 07-30-2010 04:00 PM
Quote:
Originally Posted by HereWeGo (Post 909637)
sorry, but you are completely wrong.

.9999 repeated does not equal 1, but for each 9 you add it gets closer to 1.
Where's your proof? Wikipedia (amongst many other sources) would say otherwise.

thomasracer56 07-30-2010 04:01 PM
This is EXACTLY what I had wondered about... I had put together everything but the conclusion, then I just dropped the subject.

noise 07-31-2010 11:45 AM
take a distance, A to B.
move 90% of that distance.
then 90% of the remaining distance.
and so on and so on, to infinity.
how will you ever get to B?

reminds me of zeno's dichotomy paradox...

swim 07-31-2010 11:50 AM
This isn't a matter of limits. It's matter of the rationalizing repeating decimals.

So let's look at 1/3 it divides out to .3 repeating.
These two quantities are equal.

so if we multiply both quantities by three we will 1 and .9 repeating.
These two quantities are equal

there's no discussion to be had

noise 07-31-2010 12:06 PM
.3 repeating is very close to 1/3, but even if you carry it out to the end of the universe, they're never actually equal, are they?

midnight rain 07-31-2010 01:09 PM
Quote:
Originally Posted by noise (Post 910278)
.3 repeating is very close to 1/3, but even if you carry it out to the end of the universe, they're never actually equal, are they?
Um, yes, they are.

If 1/3 doesn't equal .3 repeating, then enlighten all us math noobs as to what the decimal equivalent of that fraction is...

swim 08-01-2010 08:44 AM
You seem to stuck on the concept of limits.

.3 repeating is a rational number so you can rewrite as a fraction if you wish and the are the same. It all goes back to geometric series really. And 3rd grade division.

cardboard adolescent 08-02-2010 12:18 AM
Quote:
Originally Posted by Seltzer (Post 909293)
Look, I know it seems counter-intuitive to believe that 0.9 recurring = 1, but you have to trust me on this one ;) Your reasoning follows on from this:

2 - 1.9 = 0.1 = 10^-1 (which is more than 0)
2 - 1.99 = 0.01 = 10^-2 (ditto)
2 - 1.999 = 0.001 = 10^-3 (ditto)

General Form:
2 - 1.9{n} = 10^-n where 9 is repeated n times (which is more than 0)

That reasoning is fine for a finite n. But as n tends towards infinity, limit(10^-n) = 0. In other words, that 0.000...001 number you quoted is basically 1/∞ which is considered to be zero, meaning that 2 - 1.999... = 0 (which makes sense since 2 is 1.999...)
Wait... so if you take 1 and break it up into smaller and smaller pieces... it's ultimately MADE OF ZEROES?!?! HOLY SHIT!!! EVERYTHING IS NOTHING!!

... I guess that's why it's so easy to get from A to B. Ain't really goin' anywhere, are ya now?


All times are GMT -6. The time now is 12:38 PM.
Page 4 of 5 « First 23 4 5
Show 40 post(s) from this thread on one page


© 2003-2024 Advameg, Inc.