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Originally Posted by playa_playa
If you are being anal, 9x.99999999~ does not exactly equal 9, no matter how you slice it. It'll just be 8.99999~.
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What're you talking about? 9.99 (repeated) multiplied by 9 would have to equal 9. How would you think otherwise? Did you use something like a calculator to check it? If so... I know that you did not press enough "9"s. If you even tried... you'd fail, for you'd die.
The point of multiplying the infinite ".99" is to
not "slice" it, no matter what tool you're using.
To further explain...
9 x .9 is exactly .9 less than 9... which is 8.1
9 x 9.99 is exactly .09 less than 9... which is 8.81
If this continued "infinitely", then .999 repeating multiplied by 9 would
have to be exactly .0(repeating) less than 9. And I assume you know .0(repeating) equals zero, and that you cannot tack a number (such as 9, in this instance) to the end of an infinite.