RIP Robert H Bork
officepark
Junior Chimp
Posts: 9,030
|
|
« 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.
|