# Rational Numbers And Irrational Numbers Are In The Set Of Real Numbers

**One of the most important properties of real numbers is that they can be represented as points on a straight line.**

**Rational numbers and irrational numbers are in the set of real numbers**.
All the natural numbers can be categorized in rational numbers like 1, 2,3 are also rational numbers.irrational numbers are those numbers which are not rational and can be repeated as 0.3333333.
They have no numbers in common.
Just like rational numbers have repeating decimal expansions (or finite ones), the irrational numbers have no repeating pattern.

The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The distance between x and y is defined as the absolute value |x − y|. In maths, rational numbers are represented in p/q form where q is not equal to zero.

All rational numbers are real numbers. The constants π and e are also irrational. The irrational numbers are also dense in the real numbers, however they are uncountable and have the same cardinality as the reals.

Irrational numbers are those that cannot be expressed in fractions because they contain indeterminate decimal elements and are used in complex mathematical operations such as algebraic equations and physical formulas. Are there real numbers that are not rational or irrational? 10 0.101001000 examples of irrational numbers are:

It is also a type of real number. ⅔ is an example of rational numbers whereas √2 is an irrational number. How to represents a real number on number line.

He made a concept of real and imaginary, by finding the roots of polynomials. From the definition of real numbers, the set of real numbers is formed by both rational numbers and irrational numbers. The set of integers and fractions;