1 = .999..... Right?

swim · 07-30-2010, 03:05 PM

Quote:

Originally Posted by TheBig3KilledMyRainDog

I'm kinda turned on right now.

I'm flattered.

Dr.Seussicide · 07-30-2010, 08:22 AM

Yes, 0.9999 recurring can be mathematically defined as 1. In fact, in many applications, including aerospace engineering, the specificity of a number is usually used to the 5th decimal place. Anymore than this would usually be supercilious. For example when using pi, 3.14159 is the generally accepted figure to be used.

Here's a fun fact for math nerds, the closest fraction for pi was found to be 355/113. Not 22/7 which was probably used when you were about 9years old to calculate circumference.

So at any rate, 0.9999 can be substituted as 1 in any mathematical circumstance. It can be proved as a proof as Seltzer did or simply by common sense as I have just shown here.

noise · 07-30-2010, 09:11 AM

Quote:

Originally Posted by Dr.Seussicide

supercilious

is this like a cross between "super silly" and "super serious"?

Dr.Seussicide · 07-30-2010, 09:15 AM

Quote:

Originally Posted by noise

is this like a cross between "super silly" and "super serious"?

It's a word

But I meant to say superfluous.

Dom · 07-30-2010, 04:00 PM

Quote:

Originally Posted by HereWeGo

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

.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...

07-30-2010, 08:22 AM	#2 (permalink)
Dr.Seussicide FakingSuicideForApplause Join Date: Jul 2009 Location: I live in a van down by the river Posts: 1,365	Yes, 0.9999 recurring can be mathematically defined as 1. In fact, in many applications, including aerospace engineering, the specificity of a number is usually used to the 5th decimal place. Anymore than this would usually be supercilious. For example when using pi, 3.14159 is the generally accepted figure to be used. Here's a fun fact for math nerds, the closest fraction for pi was found to be 355/113. Not 22/7 which was probably used when you were about 9years old to calculate circumference. So at any rate, 0.9999 can be substituted as 1 in any mathematical circumstance. It can be proved as a proof as Seltzer did or simply by common sense as I have just shown here. __________________ I'll stay if I ever could, and pick up your pieces babe, because there's never a perfect day. Don't fret, baby, we're simply growing And my darling, I wouldn't mind to die like this.

07-31-2010, 11:45 AM	#7 (permalink)
noise thirsty ears Join Date: Sep 2009 Location: Boulder Posts: 742	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... __________________ my flac collection

07-31-2010, 11:50 AM	#8 (permalink)
swim dontcareaboutyou Join Date: Apr 2006 Location: North Carolina Posts: 5,145	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 __________________ http://nakednaps.bandcamp.com/

07-31-2010, 12:06 PM	#9 (permalink)
noise thirsty ears Join Date: Sep 2009 Location: Boulder Posts: 742	.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? __________________ my flac collection

07-30-2010, 04:01 PM	#6 (permalink)
thomasracer56 Still Crazy Nutso! Join Date: Oct 2009 Location: California, USA Posts: 148	This is EXACTLY what I had wondered about... I had put together everything but the conclusion, then I just dropped the subject.