Rational Numbers: Definition, Examples, And Properties

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 the ratio or quotient of two integers, where the denominator is not equal to zero. This means that a rational number can be written in the form of a/b, where a and b are integers and b is not equal to zero.

Examples of rational numbers include 5/3, -3/4, and 7/1. Such numbers can be positive, negative, or zero.

It is worth noting that every integer is a rational number because it can be written in the form of a/b, where b is equal to 1. Also, every terminating decimal (a decimal that has a finite number of digits after the decimal point) is a rational number because it can be expressed as a fraction with a power of 10 as the denominator. However, repeating decimals (a decimal with a repeating pattern of digits after the decimal point) are also rational numbers, as they can be expressed as a fraction with a specific pattern.

Rational numbers are closed under addition, subtraction, multiplication, and division. In other words, the sum, difference, product, and quotient of any two rational numbers is also a rational number.

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