Perhaps it is best, prior to addressing each of the types of rational numbers conceived by Mathematics, **is to briefly review the very definition of this type of number,** so that we can understand this classification within its precise context.

## Rational numbers

In this way, it will begin by saying that Mathematics defines rational numbers as all those numbers, other than zero,** that can be expressed in a quotient way. Consequently,** this discipline states that rational numbers will consist of both whole numbers and fractional numbers.

On the other hand, rational numbers will be distinguished as those elements that constitute the q numeric set, **which will have two subsets within it:**

- First, within the Q set, the Integers will be found as a subset of this collection,
**then being defined as those elements used to represent exact quantities,**and which are made up of positive integers, their negative opponents and zero. - On the other hand, fractional numbers, which are understood as those non-integer or exact numbers representing a fraction or portion of the number, will also be found as a subset.
**These elements will be characterized above all by not being continuous – as are whole numbers –**since between them there are infinite fractional numbers.

## Types of rational numbers

With this definition in mind, it may be much easier to address each of the types of rational numbers, conceived by mathematics, **and the main difference of which will lie in their decimal expression, as can be seen Then:**

## Exact Decimals

First, rational numbers, identified as exact decimal numbers, will be found, **which will be characterized by numbers that have a certain number of decimal places.** On the other hand, Mathematics also indicates that the exact decimals will always have a rest equal to zero. **An example of such numbers will be as follows:**

By reviewing this rational number, y**ou will see how it meets the two characteristics of the exact Decimals,** having limited or determined decimals, and also having a rest equal to zero.

## Pure newspaper decimal

Within the different rational numbers, **you will find those called pure periodic decimal numbers, which will be characterized by infinite decimals,** which have figures that in addition to being equal are repeated again and again to the Infinite. Every time these decimals are repeated, Mathematics speaks of a period. **An example of such rational numbers may be the following:**

By reviewing this decimal, you will be able to see how it is repeated several times, **so it can then be considered as a periodic Decimal**. Likewise, the different sources point out that it should not always be annotated in this way, **but that the period can be annotated as follows:**

Equally, if this repeating period starts immediately after the comma that gives way to decimals, then this in addition to being considered periodic, **it will be marked as a pure periodic decimal.**

## Decimal mixed newspaper

On the other hand, it can also happen that the decimal has a period – that is, a part that repeats indefinitely – **that is not immediately presented to the comma that presents the decimal.** In this sense, this decimal will be considered periodic, but mixed. A**n example of this type of decimal or rational number will be the following:**

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September 21, 2019