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To Maelin
I do agree with you! Infinite 0.9 Starts as 0.9 and so Remains 0.9 forever! no matter How long it is!!
Sorry, are you suggesting that 0.999... (infinite digits long) is equal to 0.9 (one digit long)? Or that 0.999 (three digits long) is equal to 0.9 (one digit long)?
Please use standard mathematical notation. This "Infinite 0.9" terminology merely obscures your argument.
There are some problems that have to be solved and shown to be solved before the Argument Infinite 0.9 = 1 can be considered an Argument!
---------------------------------------------------------------------------------------------------------------(1) Explain how it is possible for a Number that starts with a lower value than another Number! is or becomes equal to the other Number! without using an Algebra sign.
(2) Explain how it is possible for a Number that starts with a Decimal Point! losses the Decimal Point! without using an Algebra sign.
(3) Give a Maximum Possible Value for the Amount of Infinite 0.9's. ( there has to be a Value ? ) otherwise the .9's will Continue!
1. It is not possible for numbers to "start" or "become" anything. In the context of mathematics, numbers are fixed. They never move, ever. We can look at different numbers in a logical pattern and consider what happens as WE move along them, but that is our attention moving along the numbers, not the numbers themselves moving.
2. The number does not "start" with a decimal point. A number may be expressed in a way that involves a decimal point, and it may also be expressed in a way that does not involve a decimal point. Example: 2.0 = 2
3. The number of 9s in the decimal representation of 0.999... is infinite. That means the number does not have a value that is a member of the set of natural numbers (ordinary counting numbers). There is nothing wrong with this, just like there is nothing wrong with any other recurring decimal.
Incidentally, hello everybody! I've come to join in the fun and hopefully help you folks out with your understanding of this tricky little problem.
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