Rational Number Operations
Numbers were invented to count, but they were perfected to measure. When we slice a length of wood, divide a sum of money, or calculate a deficit, whole integers are insufficient. We are forced into the realm of rational numbers—a numerical construct built upon the ratio of quantities. Understanding how to manipulate these values, how to reverse-engineer our steps, and how to interpret the mathematical leftovers is not just an exercise in rote memorization. It is the fundamental grammar of quantitative logic.