Today I worked on exercises from both the review of conics and Analysis with an Introduction to Proof. I also thought some more about the questions from my post About Division. I’ve come up with a new argument that repeating decimals must represent rational numbers. It doesn’t require any theorems about geometric series, but it is going to be a bit of a pain to formalize. I may decide just to give an example of the maneuver it is based on and wave my hands for the generalization. Today I was going to share my proof that the decimal representations of rational numbers must repeat, but it is taking longer than I expected to write that up, so I will have to wait until tomorrow. Stay tuned, faithful readers!
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