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Old 05-09-2006   #6
ANTHONY.R.BROWN
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BELOW MORE EXAMPLE INFO! PLUS THE MISTAKES EVERYONE IS MAKING!.

(A) INFINITE Versus RECURRING!

It is possible to have an Infinite number,the definition Recurring does not explain the number in the correct way!
INFINITE = without any limit or end. RECURRING = happen again,repetition.
Infinite 0.9 the .9's are not repeating themselves,every .9 is new as part of a continuos stream with no end!
Recurring 0.9 the .9 is repeating itself!and is in a way going round in a circle,back on itself.

(B) ITS IMPOSSIBLE TO CHANGE AN INFINITE NUMBER!

Its impossible to add,multiply,subtract or do any math calculations to an Infinite number! The reason for this is because,its impossible to prove the length of an Infinite number!
You need to know how long a number is before you can Calculate on it,otherwise all results are a guess!.

© THE TEN TIMES CALCULATION MYTH!

The Calculation 10 * 0.9 can only be done on the normal number 0.9
Its impossible to Calculate 10 * Infinite 0.9 because of (B)
The Ten Times Calculation is often used to round the number up! Into a number that can be used in other calculations,which end up with a false result! The Decimal point can never be removed!
If it was possible to Calculate 10 * Infinite 0.9 Stage one,(One Decimal place) Then the result is what everyone uses 10 * 0.9 = 9 which is convenient for everyone as this is now a whole number!
But because we are dealing with an Infinite number, the results as to what happens if we could calculate further,are quite different!
10 * Infinite 0.9 Stage two,(Two Decimal places) = 10 * 0.99 = 9.9 we now have the Decimal point back! And is not so easy to work with,as in trying to make Infinite 0.9 ever Equal 1
This fluctuation in the Imaginary End Result! Goes on forever depending on how far you want to Calculate,there can be no End to this as its an Infinite number!

(D) THE FALSE BELIEF THAT AS INFINITE NUMBERS GET LONGER THEY GET
LARGER!

I have seen many Examples of Infinite 0.9 = 1 Because,as the .9's get longer they are getting nearer to 1
In the world of Infinity there is no change in space! As the above trys to prove,and more important there is no change in Value!
The first Infinite 0.9 Stage one,(One Decimal place) is the same Size, and Value as every other .9 produced!
As I stated at the start of my Thread the 0.1 Difference between Infinite 0.9 and 1 is Infinite!
Every Stage Infinite 0.9 is Looked at Running beside it is the 0.1 Difference for Ever! as in the Example Below,

0.99999999999999999999999999999999999999.......... ...
0.11111111111111111111111111111111111111.......... ...

The only way the two can ever Equal the number 1,is if it was possible to ADD them together! But this would End the number Infinite 0.9 being Infinite! and result in a Contradiction!

A.R.B