The Real Number System

The real number system includes all numbers that can be found on a number line, encompassing both rational numbers (fractions like 1/2 or 4, which can be written as a ratio of integers) and irrational numbers (like √2 or π, which cannot be expressed as simple fractions). These numbers can be positive, negative, or zero, and are used to measure quantities, distances, and values in everyday life and mathematics. The real number system provides a complete, continuous set that allows for accurate calculations and precise descriptions of most numeric concepts encountered in reality.