02 Jan 05
Originally posted by yamiyokazeobviously 1/9=0.111111... and it is indeed a RATIONAL number IF 1 is continuosly continued after decimal point...so .999999...is equal to 1 because .9999... is a rational number...Another thing is to remember you probably can never get 0.11111... by any calcualtions except deviding 1/9 !!!
0.9999... cannot be expressed by the value 9/9 because 9/9 = 1. 1 is not = to 0.9999... Therefore, since it cannot be reduced to an interger fraction, it is an irrational numbar, but it is not 1. This is not an algebra problem, but a simple pondering of the postulates.
02 Jan 05
The .999999999 is enibetably never ending, so for our simple minded humans, all we do is round it up, because it only makes slight differences at the end of the equation.
Although Equations such as power facter and relativity related matters, you would have to use every precise digit to 100,000th number to have the most accurate result.
03 Jan 05
Originally posted by kill kingbut there is no difference! what is 1 - 0.9999rec?
The .999999999 is enibetably never ending, so for our simple minded humans, all we do is round it up, because it only makes slight differences at the end of the equation.
Although Equations such as power facter and relativity related matters, you would have to use every precise digit to 100,000th number to have the most accurate result.
03 Jan 05
Originally posted by kill king"it only makes slight differences at the end of the equation"
The .999999999 is enibetably never ending, so for our simple minded humans, all we do is round it up, because it only makes slight differences at the end of the equation.
Although Equations such as power facter and relativity related matters, you would have to use every precise digit to 100,000th number to have the most accurate result.
there you go terminating the decimal...the fatal flaw in any argument that 0.999...is not equal to 1.0
You only have to round it up if you terminate it. It's infinite, so you don't have to terminate it. It's really not a difficult concept, and the two numbers are absolutely equal. The point has already been made abundantly clear by people much smarter than me earlier in the thread, and I made my own humble contribution in codifying the concept several posts ago. I am truly surprised that this thread is still active.
04 Jan 05
Originally posted by muktadirWhat is a rational number according to you? I say it's a division of one integer by another, like 1/2 or 1/9.
obviously 1/9=0.111111... and it is indeed a RATIONAL number IF 1 is continuosly continued after decimal point...so .999999...is equal to 1 because .9999... is a rational number...Another thing is to remember you probably can never get 0.11111... by any calcualtions except deviding 1/9 !!!
One property of rational numbers is that multiplying a rational number with a rational number gives a rational number.
both 1/9 and 9 are rational numbers, so their product is also a rational number. Writing down the decimals of 1/9 gives us 0.111...
Multiply this with 9 and you get 0.999... , therefore 0.999... is a rational number.
Another property of rational numbers is that the difference of two rational numbers is a rational number.
Now i ask you, what is the difference 1 - 0.999... in fractional form if not 0?
This thread is a classic! For a novice this thread is all about making two numbers the same, wich is against all we're taught in the first years of school. Some find it hard to accept that not everything is as simple as 1+1 🙂
14 Feb 06
Originally posted by kill kingWhat?
The .999999999 is enibetably never ending, so for our simple minded humans, all we do is round it up, because it only makes slight differences at the end of the equation.
Although Equations such as power facter and relativity related matters, you would have to use every precise digit to 100,000th number to have the most accurate result.
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14 Feb 06
Originally posted by sofar55Agreed, it is false by 0.00000000000000000000000000000000000000000000000000000000000000000000000000000001
0.99999999999999999999999999999999999999999999999999999999999999999999999999999999 = 1 is FALSE that is like saying that
9 = 10 or 1234567890 =0.987654321
