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Numbers appear like dancing letters to many students as they are not able to distinguish between different categories of numbers and get confused in understanding their concepts. Number family has numerous of siblings and one of them is irrational and rational numbers. You can define rational number as a nameable number, as we can name it in the whole numbers, fractions and mixed numbers. On the other side irrational number is one that can’t be expressed in simple fraction form. With the help of real life examples you can easily distinguish between different types of numbers. Know More About How to learn Calculus What are Rational and Irrational Numbers ? When we deal Rational and Irrational numbers, the first question arise in our mind is that what are rational and irrational numbers? Rational numbers are those numbers which can be represented as fraction means having numerator and denominator and both in integer form. Let’s take some examples of rational numbers: 1. 5 is a rational number because it has 1 in its denominator and can be written as 5/1. 2. 2/3 is also a rational number. Now, the next part of the same question i.e. what are irrational numbers? Irrational numbers are those which can be represented as a fraction i.e. numbers except rational numbers. They can only be represented as decimal number. An irrational numbers has non- repeating and endless numbers after the decimal. Let’s have a look on the irrational number examples: pi = 3.141592..... sqrt( 2 ) = 1.414213....... Generally, we do not use irrational numbers in our daily life but they exist on the number line somewhere between 0 and 1. There exists infinite number of irrational numbers. Usually irrational numbers are arises from the square root operations.
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