Having 16GB of RAM myself, I will echo AMD4ME's comment. Unless you do a lot of multi-tasking, rely heavily on virtual machines, use specialized applications for things such as photo/video editing, or have a multi-GB RAM disk you have practically no chance of exceeding 8GB in use. I think the most I have managed to use was 12GB or so and that was with two virtual machines running, which I don't normally do. But I don't work with photos or videos and have no idea how much those can use up realistically. Typically, I'm able to leave all my programs open and run a game, and my memory usage will be around 8GB.
With that said, if you already have the RAM laying around with no use for it, I see no harm in putting it in and seeing if it runs okay. However, unless you do any of the above, you will probably not gain any increase in performance. In fact, you may even lose some performance by running non-matching RAM, if it means having to run them at lower clocks or timings. For these reasons, I would not advise purchasing this additional RAM if you don't already have it. As has already been mentioned, RAM is so cheap that you may as well just buy a 16GB kit. If you watch Newegg's Shell Shocker deals, you should be able to pick up a nice kit for around $65. Lately, they've had this type of deal every week or two.