For this section, I found the last part, about UFC's to be a little confusing. I think it was because I wanted to relate to the rationals. However, UFC's do not make much sense in that region. I think more practice and exposure to units and associates would help the most. Working through some examples would also be helpful.
The fundamental theorem of arithmetic was interesting when extended to the rationals. I had not thought of the set of rationals to be defined as integers raised to integers. In that way, it makes quite a bit of sense. It helped make the cardinality of the rationals make a little more sense in connection to the integers.
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