I build computers as a hobby and I've been deemed from friends and family as a technology wiz. I just want to emphasize that the processor speed 1.6Ghz, is NOT A GOOD indication of how FAST your computer is. Repeat, Processor speed is a BAD IDEA to estimate how fast it is. If you do research on the topic, yes the faster the clockspeed is the faster the computer, but CPUs use vast architectures and an AMD cpu at 2.0Ghz is NOT necessarily, and mostly isn't the same as an INTEL CPU clocked at 2.0Ghz. There's loads of more features such as Turbo Boost, HyperThreading that will contribute to your computers performance. Now the problem in this scenario is cost. And you listed you needed Word and a Good Battery Life. Netbooks in this case obviously fit the bill, if all you do is Word Processing then getting a netbook or a cheap ultraportable laptop is what you need. Netbooks generally have Intel Atom processors read this:
http://en.wikipedia.org/wiki/Intel_atom
They are quite slow but they'll do the job. IF you're looking for a specific retailer I recommend Canada Computers.
http://canadacomputers.com/index.php?cPath=710_2 8_377
They generally have cheap and good quality stuff, if you can go for an Asus Netbook they are the flagship company in netbooks, they started it.
That's just a list of available 10 inch netbooks. Just browse around the site, hopefully you can find what you're looking for. I recommend you do some more research on shopping for a computer. There's nothing worst than buying a computer that ends up being really terrible and paying a fortune for it. If you can pitch in a couple more 100 dollars you might be able to get a larger ultraportable notebook such as this:
http://canadacomputers.com/product_i...em_id =038860
I strongly recommend any laptop with that processor the AMD E-350 Fusion Dual Core processor. It is aimed at low budget computers, but offers INCREDIBLE price/performance ratio. Meaning you get more kick or speed out of your processor for dollar you pay. Brand is really not an issue, just try to shop for processors and not all the unimportant features such as RAM/Hard Drive Space that can easily be remedied by purchasing an external hard drive or adding more ram. the Processor is the HEART + soul of your computer.
Just do some research on the web, there's nothing I can tell you that google can't explain better. Good luck. Contact me if you have any questions.