25 Sep 2022

## Blog Post # Rational Number And Their Explanation In Details

Rational number and their explanation in detail – Rational number is a popular number type that we are going to study in Maths after the integer. Normally they are expressed in the form of p/q where both of them are integers and q does not equal to zero. Due to the basic structure of numbers, people find it really difficult to differentiate between rational numbers and fractions and it follows the module p/q.  The fractions are comprised of whole numbers whereas the rational numbers revolve around integers. There is a need to educate ourselves about rational numbers in details

## More About Rational Numbers

Are you aware of the fact from where the term rational originated? It stems from the word ratio. So it is obvious that it has a strong relation to the concept of ratio. Normally it is a number in the form of p/q where p and q are integers and q would not be zero. It may be expressed in the form of a fraction where the denominator and nominator are integers as the number is a rational number.

## The Examples and Types of Rational Numbers

If it is possible to express a number as a fraction where you find both the nominator and denominator to be integers that a number is a rational number. Some of the examples of rational numbers are -3/4, ½ etc.

Going one step ahead there are various types of rational numbers. There is no need to assume that fractions with integers would be real numbers.

## The List Comprising Rational Numbers

From the discussion till now it is clear there is an infinite number of rational numbers. Rather it becomes difficult to arrive at the exact list of rational numbers. So it also becomes virtually impossible to arrive at the smallest rational number

The various types of tricks and tips with rational numbers

• A rational number is not a fraction, but any number that you will be able to express infractions
• Natural numbers, integers, fractions of integers along terminating decimals are all examples of rational numbers
• Any non – terminating decimal that would be following a repeating pattern is also referred to as the rational number
• If the fraction happens to be a negative sign which is before the denominator or nominator of the number then the fraction would also follow the same pattern.

The rational numbers may be added, divided, multiplied or subtracted just like fractions. They tend to be following the basic operations in Maths.

To gain insights into the concept of rational numbers it is better to opt for the online route. There are various online educational portals that guide you at each and every step of your journey. The name that springs up to your mind in a fraction of a second is Cuemath.

## The Difference Between Rational And Irrational Numbers

In simple terms, the numbers that are not rational numbers are irrational numbers. The representation of such numbers occurs by the digit Q.  There are some common differences that tend to occur between a rational and an irrational number.

Rational numbers can be expressed as fractions of integers and they can be terminating decimals. In some cases, it may be non-terminating decimals where it follows a repetitive decimal pattern. It is known to contain all-natural numbers, be it integers or whole numbers.  Irrational numbers cannot be expressed as fractions of integers. Even it is not a terminating decimal as it does not have any repetitive form of decimals. Once again the set of irrational numbers works out to be a separate set, as it would not be containing any set of other numbers.