Ah, welcome to the realm of computer science! You are about to learn how numbers are represented on computers. (Not to give anything away, but the answer is "not too well".) Here is an article that is well-thumbed by many a scientist before you:
http://www.idlcoyote.com/math_tips/sk...
Be sure you follow all the links. I can assure you, it will be worth your time. :-)
Here are some other articles that may also be of interest to you:
http://www.idlcoyote.com/..._tips/razoredge.html
http://www.idlcoyote.com/math_tips/double.html
http://www.idlcoyote.com/...h_tips/storenum.html
http://www.idlcoyote.com/math_tips/oneplus.html