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# State whether the following statements are true or false. Justify your answers.(iii) Every real number is an irrational number.Q.1(3)

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Find the easiest way to solve the ncert class 9th chapter number systems . Give me the easiest solution of the exercise 1.2 question number 1(3) , How i solve this question in a easiest and simple way also find the best solution of this question.State whether the following statements are true or false. Justify your answers.(iii) Every real number is an irrational number.

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1. Solution:

False

The statement is false, the real numbers include both irrational and rational numbers. Therefore, every real number cannot be an irrational number.

Real numbers – The collection of both rational and irrational numbers are known as real numbers.

i.e., Real numbers = √2, √5, , 0.102…

Irrational Numbers – A number is said to be irrational, if it cannot be written in the p/q, where p and q are integers and q ≠ 0.

i.e., Irrational numbers = π, e, √3, 5+√2, 6.23146…. , 0.101001001000….

Every irrational number is a real number, however, every real number is not irrational.

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