rauntölur

Rauntölur, commonly known as real numbers, form a fundamental concept in mathematics. They encompass all rational numbers, such as integers and fractions, as well as irrational numbers, which cannot be expressed as a simple fraction of two integers. This includes numbers like pi and the square root of 2.

The set of real numbers is typically denoted by the symbol R. They can be visualized as points on an infinite, continuous line called the number line. Every point on this line corresponds to a unique real number, and conversely, every real number can be located at a specific point on the line.

Real numbers are essential for describing quantities that can vary continuously. They are used extensively in calculus, physics, engineering, and many other scientific and mathematical disciplines. The operations of addition, subtraction, multiplication, and division are well-defined for real numbers, with the exception of division by zero. The ordering property also holds true, meaning that for any two distinct real numbers, one is always greater than the other. This hierarchical structure allows for the development of inequalities and the study of limits and continuity.