Branes hurting now.

[zahryn]

0.999 = 1

Nope I didn't believe it either until I read this:

Algebraic proof:
Another kind of proof more easily adapts to other repeating decimals. When a number in decimal notation is multiplied by 10, the digits do not change but the decimal separator moves one place to the right. Thus 10 × 0.999… equals 9.999…, which is 9 more than the original number. To see this, consider that subtracting 0.999… from 9.999… can proceed digit by digit; in each of the digits after the decimal separator, the result is 9 − 9, which is 0. But trailing zeros do not change a number, so the difference is exactly 9. The final step uses algebra. Let the decimal number in question, 0.999…, be called c. Then 10c − c = 9. This is the same as 9c = 9. Dividing both sides by 9 completes the proof: c = 1.[1] Written mathematically,

c = 0.999...
10c = 9.999...
10c-c = 9.999...-0.999..
9c = 9
c = 1

The entire article can be found HERE

Comments

[zahryn.livejournal.com]

Mmm!! Agree completely, and the same can be said about statisticians, we employ a combination of magic, fudge and alchemy to turn any number, into any other number, so we can prove anything you like. :)

The thing I love about this, is that the algebraic part is completely logical....:D

[skimeister.livejournal.com]

Annoyingly true - yes