0.99999999....... (user search)
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  0.99999999....... (search mode)
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Question: Does it equal 1?
#1
Yes
 
#2
No
 
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Partisan results

Total Voters: 55

Author Topic: 0.99999999.......  (Read 20542 times)
RIP Robert H Bork
officepark
Junior Chimp
*****
Posts: 9,030
Czech Republic


« on: December 20, 2009, 07:28:35 PM »
« edited: December 20, 2009, 08:22:04 PM by Mideast Assemblyman True Conservative »

Yes.

You will realize why if you know how to convert an infinitely repeating decimal into a fraction (yes, it is possible).

For example, suppose x = 0.99999999.... (the number that we are interested in now). We want to get rid of the repeating decimal.

Then 10x = 9.99999999....

Subtracting the first equation from the second we get 9x = 9 (now we no longer have a repeating decimal), so x = 9/9, or 1.

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