I want to be better about knowing when I should cast. What are the implicit type conversion rules in C++ when adding, multiplying, etc. For example,
int + fl
If you exclude the unsigned types, there is an ordered hierarchy: signed char, short, int, long, long long, float, double, long double. First, anything coming before int in the above will be converted to int. Then, in a binary operation, the lower ranked type will be converted to the higher, and the results will be the type of the higher. (You'll note that, from the hierarchy, anytime a floating point and an integral type are involved, the integral type will be converted to the floating point type.)
Unsigned complicates things a bit: it perturbs the ranking, and parts of the ranking become implementation defined. Because of this, it's best to not mix signed and unsigned in the same expression. (Most C++ experts seem to avoid unsigned unless bitwise operations are involved. That is, at least, what Stroustrup recommends.)