I know there have been threads with a very similar subject but specifically, how beneficial is a 4.0 versus say a 3.8 or 3.9? The reason I ask is that right now I have a 4.0 but - as much as I hate to actually type this out much less think it - it looks like I could be losing that this semester. I had always had my hopes set to do an REU this coming summer (of 2010) but I feel like with less than a 4.0 my opportunities will be much less. Thoughts/advice? Thanks. edit: I should have mentioned I am a math major and am looking at only pure math REU's.