## What is a rational number?

### A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, any number that can be written in the form “a/b” or “-a/b”, where “a” and “b” are integers and “b” is not zero, is considered a rational number.

Rational numbers can be positive or negative and include whole numbers, integers, and fractions. For example, 3, -5, 1/2, -4/3 are all rational numbers.

It is important to note that rational numbers can be expressed as terminating decimals (such as 0.75) or repeating decimals (such as 0.3333…). These decimals can also be written as fractions, making them rational.

Rational numbers have certain key properties. They can be added, subtracted, multiplied, and divided, and the result will always be a rational number. However, dividing by zero is undefined and not possible in the realm of rational numbers.

In contrast, irrational numbers cannot be expressed as fractions and their decimal representations go on infinitely without repeating. Examples of irrational numbers are √2, π (pi), and e (Euler’s number).

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