# What is Rational Numbers definition/concept

The study of numbers is part of the essence of mathematics. The idea of numbers is broad and complex at the same time. The most common are the so-called natural numbers (0,1,2,3,4…) with which it is possible to count and add, as well as other operations that are not so viable. The set of these numbers is expressed by the capital letter N. Rational Numbers

On the other hand, there are integers (-3, -2, -1, 0, 1, 2, 3…) which allow certain operations, just as others are not possible. Thus, the limitations of natural and integer numbers create the need to invent other numbers: rational numbers.

### What is a rational number and the classification of numbers

The rational number is expressed by the form a/b, such that a and b are integers, but b (the denominator) must be different from 0. The rational number is a fraction, but it should be noted that not all fractions are rational numbers, eg 4/1 is a fraction, but its result is an integer. To express the set of these numbers, mathematicians use the capital letter Q.

Rational numbers (1/2,1/3,1/4…) make it possible to fractionate a number, that is, to divide it numerically.

In relation to these numbers, it should be noted that in this case the word rational comes from the term reason, that is, a part of a whole. Among other words, rational numbers express fractions of a totality. Rational Numbers

In mathematical terms, the rational number is any number that can be represented as a quotient of two integers with a denominator different from 0. the number pi.

The set of natural numbers is within the whole numbers, whereas the whole numbers in their set are within the rational numbers. In other words, both natural and integer numbers are included in rationals.

### The historical origin of rational numbers and their everyday use

The fractional form of these numbers comes from India, but the bar used as a form of representation was introduced by Arab culture . These operations have been carried out since Antiquity, in fact, it is believed that the remote origin of this system is related to the consumption of bread in Ancient Egypt. This fact is known thanks to the Ahmes papyrus, in the year 1900 BC

In everyday life we use rational numbers very often. So, when you say “Give me a quart of butter” or “I only want a third of the cake” we are faced with this numerical conception.