Real numbers are a mathematical concept that includes all possible numbers along a continuous number line, extending from negative infinity to positive infinity. Real numbers can be represented as decimal numbers and include both rational numbers (numbers that can be expressed as a fraction) and irrational numbers (numbers that cannot be expressed as a fraction).

The set of real numbers encompasses a wide range of values, such as whole numbers (e.g., -3, 0, 5), fractions (e.g., -1/2, 3/4), and decimal numbers (e.g., -1.25, 3.14159). Real numbers also include familiar constants like π (pi) and √2 (the square root of 2), which are irrational numbers.

Real numbers have several properties, including addition, subtraction, multiplication, and division. They can be compared using the less than (

In mathematics, real numbers are widely used across various fields, including algebra, calculus, geometry, and physics, to model and solve problems involving continuous quantities. They provide a foundation for understanding the concept of quantity and enable precise calculations and analysis in many scientific and practical applications.