Core Mathematics

The Real Number System ($\mathbb{R}$) is explored through its fundamental subsets: Natural, Whole, and Integers. The system is categorized into Rational ($\mathbb{Q}$) and Irrational ($\mathbb{Q}’$) numbers, distinguished by their decimal representations as terminating/recurring versus non-terminating/non-recurring. The concept of set closure is defined, examining how various subsets (N, Z, R) behave under the four basic arithmetic operations (addition, subtraction, multiplication, and division) to determine operational self-sufficiency.