Rational Numbers: Definitions, Examples, And Decimal Representations

rational number

Any number that can be expressed as a ratio of two integers

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. In other words, a rational number can be written in the form a/b, where a and b are integers and b is not equal to zero.

Examples of rational numbers include:

1. 3/4
2. -5/2
3. 0
4. 2 1/2
5. -7/3

Rational numbers can also be represented as decimals, but they may either terminate or repeat indefinitely. For example, 3/4 can be written as 0.75, which terminates, while 1/3 can be written as 0.333…, which repeats indefinitely.

It’s important to note that not all numbers are rational. For example, pi ( π ) and the square root of 2 (√2) are irrational numbers, which means they cannot be expressed as a fraction of two integers.

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