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Old 09-09-2007, 08:03 PM   #136
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Holy crap are you guys kidding me with this crap? How about just agree to disagree?
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Old 09-09-2007, 08:07 PM   #137
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Holy crap are you guys kidding me with this crap? How about just agree to disagree?
Actually I'm really curious how this works.
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Old 09-09-2007, 08:21 PM   #138
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First of all,

1 = 0.9 repeating (the 9's repeat indefinitly)

this is seen by following the pattern,

1/3 = 0.3 repeating

and

2/3 = 0.6 repeating

and

3/3 = 0.9 repeating.

Since 3/3 = 1 then 1 = 0.9 repeating


Algebraically,

this is why 1 = 0.9 repeating

Lets let x = 0.99999999999........

if we multiply this equation by 10 then,

10x = 9.999999999........ (all we did was multiply both sides by 10)

Next we subtract these two equations :

10x = 9.99999999.........
- x = 0.99999999.........
9x = 9

if 9x = 9, then x = 1 and as we see x = 1 and 0.99999999...... (this shows they are both the same)

My wife is really smart in math and she says it's 1 and now I see why, she proved it, end of discussion
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Old 09-09-2007, 08:28 PM   #139
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Originally Posted by SkilledC6 View Post
First of all,

1 = 0.9 repeating (the 9's repeat indefinitly)

this is seen by following the pattern,

1/3 = 0.3 repeating

and

2/3 = 0.6 repeating

and

3/3 = 0.9 repeating.

Since 3/3 = 1 then 1 = 0.9 repeating


Algebraically,

this is why 1 = 0.9 repeating

Lets let x = 0.99999999999........

if we multiply this equation by 10 then,

10x = 9.999999999........ (all we did was multiply both sides by 10)

Next we subtract these two equations :

10x = 9.99999999.........
- x = 0.99999999.........
9x = 9

if 9x = 9, then x = 1 and as we see x = 1 and 0.99999999...... (this shows they are both the same)

My wife is really smart in math and she says it's 1 and now I see why, she proved it, end of discussion

I've read the thread, I understand all that.

Y'all are saying it's some kind of paradox since some idiot way back when made up a "law" stating that when working with fractions when the top number is the same as the bottom number (I used to know their names) that it equals one, and said idiot didn't think about 1/3, or any other number that might prove that untrue. So we just accept it as law like a bunch of monkeys in a cage wondering why we can't get the banana because the other monkeys beat the shit out of us when we try it.

What I'm asking is, how does .9999... =1?

In the really real world, it doesn't.
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Old 09-09-2007, 08:53 PM   #140
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Quote:
Originally Posted by Caged_Bird View Post
I've read the thread, I understand all that.

Y'all are saying it's some kind of paradox since some idiot way back when made up a "law" stating that when working with fractions when the top number is the same as the bottom number (I used to know their names) that it equals one, and said idiot didn't think about 1/3, or any other number that might prove that untrue. So we just accept it as law like a bunch of monkeys in a cage wondering why we can't get the banana because the other monkeys beat the shit out of us when we try it.

What I'm asking is, how does .9999... =1?

In the really real world, it doesn't.
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Old 09-09-2007, 09:25 PM   #141
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Originally Posted by Caged_Bird View Post
I've read the thread, I understand all that.

Y'all are saying it's some kind of paradox since some idiot way back when made up a "law" stating that when working with fractions when the top number is the same as the bottom number (I used to know their names) that it equals one, and said idiot didn't think about 1/3, or any other number that might prove that untrue. So we just accept it as law like a bunch of monkeys in a cage wondering why we can't get the banana because the other monkeys beat the shit out of us when we try it.

What I'm asking is, how does .9999... =1?

In the really real world, it doesn't.
when the top number (numerator) is equal to the bottom number (denominator) this is the same as dividing a number into itself.

how many times does x go into x? why once, that's how many times.

monkeys may not get that, but I bet the anthropoid apes do.

mathematics is as sound as anything known to mankind. No offense, but only the innumerate would dispute mathematical proof.

Karl Gauss once said:

"I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible. "

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Old 09-09-2007, 09:28 PM   #142
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Originally Posted by Caged_Bird View Post
In the really real world, it doesn't.
Yes it does. It's the same thing.
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Old 09-09-2007, 09:29 PM   #143
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Originally Posted by gauSSian View Post
when the top number (numerator) is equal to the bottom number (denominator) this is the same as dividing a number into itself.

how many times does x go into x? why once, that's how many times.

monkeys may not get that, but I bet the anthropoid apes do.

mathematics is as sound as anything known to mankind. No offense, but only the innumerate would dispute mathematical proof.

Karl Gauss once said:

"I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible. "

I agree, 4/4 = 1 true 6/6 = 1 true 3/3 eh, not so much.
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Old 09-09-2007, 09:33 PM   #144
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I agree, 4/4 = 1 true 6/6 = 1 true 3/3 eh, not so much.
gotcha.
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Old 09-09-2007, 09:40 PM   #145
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Old 09-09-2007, 09:49 PM   #146
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"infinitely close to" and "equal to" are not the same thing.
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Old 09-09-2007, 09:50 PM   #147
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"infinitely close to" and "equal to" are not the same thing.
Yes they are.

When dealing with numbers if you can't name a single number between the two numbers you are comparing they are the same thing.
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Old 09-09-2007, 09:52 PM   #148
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Yes they are.

When dealing with numbers if you can't name a single number between the two numbers you are comparing they are the same thing.
the number in question is "pretty damn small" but its still there. i cant name it, but its there. i dont know your name, but youre still there.
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Old 09-09-2007, 09:55 PM   #149
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Originally Posted by TheWacoKid View Post
Yes they are.

When dealing with numbers if you can't name a single number between the two numbers you are comparing they are the same thing.
reminds me of the squeeze theorem.
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Old 09-09-2007, 09:59 PM   #150
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the number in question is "pretty damn small" but its still there. i cant name it, but its there. i dont know your name, but youre still there.
I can name it...

9/∞

the limit of m/n as n approaches infinity is zero, where m is a finite real number.

1 - 0.999... = 9/∞ = 0
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