Update: This article was written for Scala 2.9. Things changed a little bit in Scala 2.10, so see this new article, Creating implicit methods in Scala 2.10, for correct examples for 2.10 and newer versions of Scala.
A cool thing about implicit conversions in Scala is that they let you add new methods to existing classes, including existing Java and Scala classes such as String, File, and so on.