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A number equal to 1 to anyone who understands math.
Topic should not even be a debate, however, it is understandibly quite hard to accept by some.
Topic should not even be a debate, however, it is understandibly quite hard to accept by some.
1.) All sequential repeating decimals can be expressed as the repeating series divided by a 9 per each digit.
For example, 3/7 = .428571~
Thus, 428571/999999 = .428571~
Therefore, 428571/999999 = 3/7
When we apply this rule to .9~:
9 is the repeating sequence. We put it over an identical number of 9's, which is one 9, thus giving us 9/9, which is 1.
2.) All rational numbers can be expressed as a/b with a and b as integers. .9~ is a rational number. Thusly, it can be expressed as a/b. 9.~'s a/b expression is 1/1. To all those who disagree, I challenge you to find another possible way that .9~ can be expressed as a/b.
3.) For any two numbers, there is an infinite number of other numbers that fit between them.
Example:
1.08, and 1.09.
1.081, 1.0801, 1.08001...
There are no numbers that can fit between .9~ and 1. thus, they must be equal.
Demonstrations:
1.)
Define x as .9~
x = .9~
10x = 9.9~
10x - x = 9
9x = 9
x = 1
Thus, .9~ = x = 1
2.)
1/3 = .3~
1/3 X 3 = 1
.3~ X 3 = .9~
If .3~ and 1/3 are equal, identical operations on them result in an equal product. Thus, .9~ = 1.
ARGUMENTS:
".9~ is not equal to 1, it gets closer to 1 with each 9 added but never reaches it"
Reply: .9~ is a number. This means it has value. The value of .9~ doesn't "get closer" to anything. It is a number, and has value.
"If .9~ equals 1, then doesn't 1.9~ equal 2, 2.9~ equal 3, 3.9~ = 4, and so forth?"
Reply: Yes.
"There is no point at which as certain number of 9's makes .9~ equal 1."
Reply:
Of course there isn't. If there were a point at which a certain number of nines "made" .9~ equal 1, then it would not be .9~ that equaled 1, just the decimal with enough nines to reach that point.
A "certain number of nines" directly contradicts the concept of an infinite string of nines. Approaching the question from this angle is entirely illogical.
For example, 3/7 = .428571~
Thus, 428571/999999 = .428571~
Therefore, 428571/999999 = 3/7
When we apply this rule to .9~:
9 is the repeating sequence. We put it over an identical number of 9's, which is one 9, thus giving us 9/9, which is 1.
2.) All rational numbers can be expressed as a/b with a and b as integers. .9~ is a rational number. Thusly, it can be expressed as a/b. 9.~'s a/b expression is 1/1. To all those who disagree, I challenge you to find another possible way that .9~ can be expressed as a/b.
3.) For any two numbers, there is an infinite number of other numbers that fit between them.
Example:
1.08, and 1.09.
1.081, 1.0801, 1.08001...
There are no numbers that can fit between .9~ and 1. thus, they must be equal.
Demonstrations:
1.)
Define x as .9~
x = .9~
10x = 9.9~
10x - x = 9
9x = 9
x = 1
Thus, .9~ = x = 1
2.)
1/3 = .3~
1/3 X 3 = 1
.3~ X 3 = .9~
If .3~ and 1/3 are equal, identical operations on them result in an equal product. Thus, .9~ = 1.
ARGUMENTS:
".9~ is not equal to 1, it gets closer to 1 with each 9 added but never reaches it"
Reply: .9~ is a number. This means it has value. The value of .9~ doesn't "get closer" to anything. It is a number, and has value.
"If .9~ equals 1, then doesn't 1.9~ equal 2, 2.9~ equal 3, 3.9~ = 4, and so forth?"
Reply: Yes.
"There is no point at which as certain number of 9's makes .9~ equal 1."
Reply:
Of course there isn't. If there were a point at which a certain number of nines "made" .9~ equal 1, then it would not be .9~ that equaled 1, just the decimal with enough nines to reach that point.
A "certain number of nines" directly contradicts the concept of an infinite string of nines. Approaching the question from this angle is entirely illogical.
by YHHAWNFTPSHI May 3, 2009
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The Mustang GT makes use of a 4.6L V8 engine, which basically gives the horsepower output of a sewing machine. Compare it to the 2010 Camaro's 6.3 L LS3 V8, producing over 130 more horsepowers than the GT's baby engine. The V6 Camaro is actually as powerful as the Mustang Gt's V8.
The Mustang GT makes use of a 4.6L V8 engine, which basically gives the horsepower output of a sewing machine. Compare it to the 2010 Camaro's 6.3 L LS3 V8, producing over 130 more horsepowers than the GT's baby engine. The V6 Camaro is actually as powerful as the Mustang Gt's V8.
Look at that kid with the Mustang GT. He just challenged a Trans Am owner to a race. Poor kid is going to get embarrassed.
by YHHAWNFTPSHI May 6, 2009
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Get the speculation mug.Without question, or any sliver of doubt, the most underrated rock band of our lifetimes. One of the most incredibly talented bands, which unfortunately, are unheard of or unknown by many people. People instantly recognize songs such as "December" and "Shine," yet have never heard of Collective Soul.
Tracks produced by Collective Soul such as "Heavy," "She said," "Counting the Days," "Perfect Day" etc. are some of the greatest songs of our time, yet go unheard by virtually everyone.
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The wave states that while you are in your Corvette, you must signal any fellow Corvette drivers with a friendly (yet extremely manly) wave to acknowledge their presence and their fine taste in automobiles.
Any driver who does not return the wave is a disgrace to the Corvette community, and just looks like a total douche.
No exceptions.
The wave states that while you are in your Corvette, you must signal any fellow Corvette drivers with a friendly (yet extremely manly) wave to acknowledge their presence and their fine taste in automobiles.
Any driver who does not return the wave is a disgrace to the Corvette community, and just looks like a total douche.
No exceptions.
"I was in my C5 Z06 last week, saw a sick C6 rolling down in my direction, so I gave the fella the wave.
He didn't return the wave, so I followed him to his home and burned his house down."
He didn't return the wave, so I followed him to his home and burned his house down."
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Get the drive n' ditch mug.The Fox News co-host for Fox & Friends. Doocy is a prime example of lovable stupidity. He is often so hillariously misinformed that you just want to tilt your head and say "aww.." at his sincere and adorable attempt at journalism.
One would wonder why Steve Doocy actually has a job at Fox News. His journalism skills are in fact, on par with an 8 year. Then you realize, he's the mascot of Fox News. The unintelligent, dim-witted, moronic shell of a person that represents the station as a whole. He is the embodiement of Fox News.
It is highly likely that he has never formed a cognitive thought, opinion, or idea without the help, aid, or influence of others.
One would wonder why Steve Doocy actually has a job at Fox News. His journalism skills are in fact, on par with an 8 year. Then you realize, he's the mascot of Fox News. The unintelligent, dim-witted, moronic shell of a person that represents the station as a whole. He is the embodiement of Fox News.
It is highly likely that he has never formed a cognitive thought, opinion, or idea without the help, aid, or influence of others.
Steve Doocy is the drunk baby of Fox News.
Steve Doocy: "Palin does have foreign policy experience, after all, Alaska is right next to Russia."
Steve Doocy: "Palin does have foreign policy experience, after all, Alaska is right next to Russia."
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