Understanding Rational Numbers: Definition, Examples, and Properties

Rational number

A number that can be written as a fraction and does not terminate or repeat

A rational number is a number that can be expressed as a quotient or fraction of two integers. That is, a rational number is any number that can be written in the form of a/b where a and b are integers, and b is not equal to zero. For example, 1/2, 4/5, 3/8, and -5/6 are all rational numbers.

Rational numbers can be positive, negative or zero. They can also be represented as terminating decimals (e.g. 0.5, 0.75, 0.333) or repeating decimals (e.g. 0.333…, 0.666…).

The set of rational numbers is denoted by the symbol Q and it includes all integers (which can be expressed as a fraction with the denominator of 1).

It’s worth noting that not all real numbers are rational. For example, pi (π) and the square root of 2 (√2) are irrational numbers, which means they can’t be expressed as a fraction of integers.

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