Rational and Irrational Numbers
Irrational Numbers are those which can’t be represented in the form of p/q where q ≠ 0. The decimal expansion of irrational numbers is non-terminating and non-repeating. Let’s learn a comparison between the rational and irrational numbers in the table given below:
Rational Numbers | Irrational Numbers |
---|---|
It can be represented in the form of p/q where q ≠ 0 | It can’t be represented in the form of p/q where q ≠ 0 |
Its Decimal Expansion is either terminating or non-terminating and repeating | Its Decimal Expansion is non-terminating and non-repeating |
A set of rational numbers contains all types of numbers such as natural numbers, whole numbers, and integers. | Irrational Numbers doesn’t contain all types of numbers in itself |
Examples include 2/3, -5/6, 0.25, 0.333, 22/7, etc. | Examples include √2,√3, 1.010010001, π, etc. |
Rational Numbers: Definition, Examples, Worksheet
Rational Numbers are numbers written in terms of the ratio of two integers, where the denominator is not zero. In maths, Rational numbers are a type of real numbers that can be written in the form of p/q, where q ≠ 0. Any fraction is a rational number provided its denominator should not be zero.
Examples of Rational Numbers include 12/21, 34/2, -22 etc. In other words, a rational number is any number that can be written in the form of a/b, where a and b are integers and b is not equal to zero.
In this article, we have provided everything related to Rational numbers including, definitions, examples, types, a list of rational numbers, and how to identify rational numbers.
Table of Content
- What is a Rational Numbers?
- Examples of Rational Numbers
- Representation of Rational Numbers
- Types of Rational Numbers
- How to Identify Rational Numbers?
- List of Rational Numbers in Number System
- Arithmetic Operations on Rational Numbers
- Addition of Rational Numbers
- Subtraction of Rational Numbers
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Equivalent Rational Numbers
- Decimal Expansion of Rational Numbers
- Multiplicative Inverse of a Rational Number
- Rational Numbers Properties
- Find Rational Numbers between Two Rational Numbers?
- Representing Rational Numbers on Real Line
- Rational and Irrational Numbers