YHHAWNFTPSHI's definitions
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
Get the .9~mug. Approaching a car dealership, as if planning on buying the car, but with no intention to do so. After getting a detailed view of the car, checking it out face to face, and then taking it on a lengthy test drive, you then leave the dealership, claiming to no longer be interested.
"So I totally drove this sexy Viper the other day."
"No way! Where?"
"Dealership. drive n' ditched their ass."
"No way! Where?"
"Dealership. drive n' ditched their ass."
by YHHAWNFTPSHI April 2, 2009
Get the drive n' ditchmug. A misleading phrase which should actually read: "Pro-governmental regulation and interference on actions that don't remotely nessesitate it."
I'm pro-life, because I believe the government is our moral authority, and knows what's best for us!
by YHHAWNFTPSHI May 29, 2009
Get the pro-lifemug. The racing game for the retarded kid. Every car in the game is able to go an excess of 140 mph in only a few seconds, and is able to corner flawlessly at ridiculous speeds. Playing the game requires no skill whatsoever. There is no use for the brake. You simply hold the right trigger and you win the race.
I was playing need for speed undercover the other day. Then I put forza in and couldn't make the simplest turns without hitting the wall.
by YHHAWNFTPSHI April 22, 2009
Get the need for speed undercovermug. "I'd like a large fry."
"Dasallfuhya?"
"And a vanilla ice cream cone."
"Dasallfuhya?"
"Yes ma'am."
"Yatotal fiyseveny"
"Dasallfuhya?"
"And a vanilla ice cream cone."
"Dasallfuhya?"
"Yes ma'am."
"Yatotal fiyseveny"
by YHHAWNFTPSHI October 14, 2011
Get the dasallfuhyamug. 1.) To spend your time at home watching TV when you should actually be getting an education.
2.) A method of systematically ruining one's social skills.
3.) When a parent clones their closeminded beliefs/morals into their child without allowing their child to be exposed to opposing viewpoints and opinions. Ususally results in their child growing up to be Kent Hovind.
2.) A method of systematically ruining one's social skills.
3.) When a parent clones their closeminded beliefs/morals into their child without allowing their child to be exposed to opposing viewpoints and opinions. Ususally results in their child growing up to be Kent Hovind.
by YHHAWNFTPSHI December 17, 2008
Get the homeschoolmug. 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.
by YHHAWNFTPSHI March 31, 2009
Get the collective soulmug.