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Old 07-30-2010, 03:05 PM   #1 (permalink)
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Quote:
Originally Posted by TheBig3KilledMyRainDog View Post
I'm kinda turned on right now.
I'm flattered.
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Old 07-30-2010, 08:22 AM   #2 (permalink)
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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.
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Old 07-30-2010, 09:11 AM   #3 (permalink)
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Originally Posted by Dr.Seussicide View Post
supercilious
is this like a cross between "super silly" and "super serious"?
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Old 07-30-2010, 09:15 AM   #4 (permalink)
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Quote:
Originally Posted by noise View Post
is this like a cross between "super silly" and "super serious"?
It's a word

But I meant to say superfluous.
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Old 07-30-2010, 04:00 PM   #5 (permalink)
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Originally Posted by HereWeGo View Post
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.
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Old 07-30-2010, 04:01 PM   #6 (permalink)
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This is EXACTLY what I had wondered about... I had put together everything but the conclusion, then I just dropped the subject.
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Old 07-31-2010, 11:45 AM   #7 (permalink)
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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...
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Old 07-31-2010, 11:50 AM   #8 (permalink)
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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
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Old 07-31-2010, 12:06 PM   #9 (permalink)
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.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?
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Old 07-31-2010, 01:09 PM   #10 (permalink)
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Quote:
Originally Posted by noise View Post
.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...
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