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CBSE Class 9 Mathematics Question 5 of 27

Number Systems — Question 1

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Question

Question 1

State whether the following statements are true or false. Justify your answers.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form √m , where m is a natural number.

(iii) Every real number is an irrational number.

Answer

(i) True
Reason — Every irrational number is a real number, because rational number, natural number, whole number all the numbers comes into real number.

(ii) False
Reason — Every point on the number line represents a unique real number.

(iii) False
Reason — For example 2\sqrt{2} is real but not irrational.