For example, I enjoy sharing my thoughts on movies that I have recently watched. Because Twitter only allows 140 characters per update, I post my movie mini review on Facebook and then link off to that individual post through an excerpted version on Twitter.
Not only does this encourage people to click the Facebook link in your tweet and read your entire post, but this is also a great way of letting your Twitter followers know about your Facebook page.
Again, this isn't anything mind blowing, but still worth sharing. If it works for me, it'll work for you.