1. I'm pretty sure that I understood most of the material covered in this section; however, a few of the examples had me confused about the previous definitions. One of the examples that for some reason I didn't understand, was the example right after the definition of a multiplicative inverse. It talks about Z10, and I understand everything up to when it talks about the inverse of 7, and that it is equal to 3, and vice versa. Is it saying that 1/7 in Z10 =3? Because I guess I just don't understand that, but I'm sure I will after an easily explained example by you, and then I'll feel stupid :) That was mostly the thing I didn't understand very well in this section. As for the new theorems and things, I'll just have to study them, and make sure I truly understand them really well.
2. I really like how each section continues to build on the previous one. I know that is probably what they're supposed to do, but it really helps me to understand the new material, when we continue to use the other stuff that I just learned. It's also good that we keep working with these axioms: addition, multiplication, and now adding on subtraction. So, so far I enjoy everything, I hope to continue to understand and like the things I'm learning, but it has been very interesting and it has helped me to learn the material so much better when I read the sections like this!
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