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 4, 2009
by mackrock17 April 19, 2007
When you're on IM or texting and a parent or other bothersome person is breathing down your neck, type "9" and the person who you are talking to will understand and switch to a different, more boring topic, like school or work.
SoccerGal419: So Mike and I totally made out last week at the party. I think we're totally gonna hook up!
GennyLovesDogs: 9
SoccerGal419: But, anyway, did you finish the long essay for DiMello's class? My topic was, "How Frost's poetry influences actions and minds of adolescents". Enlightening, isn't it?
GennyLovesDogs: 9
SoccerGal419: But, anyway, did you finish the long essay for DiMello's class? My topic was, "How Frost's poetry influences actions and minds of adolescents". Enlightening, isn't it?
by this_is_AWESOME_0809 January 19, 2009
by Snake^_^ February 4, 2005
by chase barnett August 16, 2006
Different than a 9mm in a few ways.
-9s are fired sideways, rarely hitting anything. Used by street gangs.
-9mms are fired properly and hit where they are fired most of the time. Used by human beings.
-9s are fired sideways, rarely hitting anything. Used by street gangs.
-9mms are fired properly and hit where they are fired most of the time. Used by human beings.
by Spatter Artist February 20, 2006