## What are real numbers?

### Real numbers are the set of all numbers that can be represented on the number line

Real numbers are the set of all numbers that can be represented on the number line. They include both rational and irrational numbers. Rational numbers, such as integers and fractions, can be written as a ratio of two integers. Irrational numbers, on the other hand, cannot be expressed as a simple fraction and have non-terminating decimal expansions. Examples of real numbers include 0, 1, -3, 2.5, √2 (square root of 2), π (pi), and e (Euler’s number). Real numbers are widely used in various branches of mathematics, including algebra, calculus, and statistics. They are often used to represent quantities, measurements, and continuous data. The set of real numbers is denoted by the symbol ℝ.

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