# Rational Numbers, Definition Of Rational Numbers

## What Is A Rational Number?

In mathematics, a **Rational Number** is any number that can be expressed
as a Fraction p/q (integer number p divided by integer number q); the denominator q can not
equal zero. Another important fact of arithmetic, q may be equal to 1, which means every integer is a rational number. Simple example: ^{10}/_{1} = 10 and an earlier
lesson showed us that the number
10 is always a rational number. Rational Numbers are the opposite of Irrational Numbers.

- A continuing decimal of a rational number always either terminates after a number of digits. For example 8 decimal digits - 98.37654506 .
- begins to repeat the same limited sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number. Example: 331.456456456456..... - repeating decimal numbers "456".

- Any rational number can be expressed as
integer divided by non-zero integer e.g integer/ non-zero integer. Example 4 =
^{4}/_{1}. - All "terminating" decimals are rational. Example 5.125 = 41/8.