R (real number symbol)

The symbol \( \mathbb{R} \) represents the set of all real numbers, which includes all the numbers on the number line. This set encompasses rational numbers (like 2, 0.5, or -3) and irrational numbers (like √2 or π) that cannot be expressed as simple fractions. Real numbers are used in everyday life for measuring quantities, distances, and quantities requiring precision. They form the foundation for continuous mathematics and calculus, enabling us to work with any value within an interval, whether whole, decimal, or irrational.