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RD Chapter 1- Number Systems Ex-1.5 Interview Questions Answers

Question 1 :
Complete the following sentences:
(i) Every point on the number line corresponds to a … number which many be either … or
(ii) The decimal form of an irrational number is neither … nor …
(iii) The decimal representation of a rational number is either … or …
(iv) Every real number is either … number or … number.

Answer 1 :

(i) Every point on the number line corresponds to a real number which many be either rational or irrational.
(ii) The decimal form of an irrational number is neither terminating nor repeating.
(iii) The decimal representation of a rational number is either terminating or non¬terminating, recurring.
(iv) Every real number is either rational number or an irrational number.

Question 2 :
Find whether the following statements are true or false:
(i)  Every real number is either rational or irrational.
(ii) π is an irrational number.
(iii) Irrational numbers cannot be represented by points on the number line.

Answer 2 :

(i) True. (Value of π = 3.14)
(ii) False : we can represent irrational number also.

Question 3 : Represent √6, √7, √8 on the number line.

Answer 3 :

Find the equivalent values of √6, √7, √8
√6 = 2.449
√7 = 2.645
√8 = 2.828
We can see that, all the given numbers lie between 2 and 3.
Draw on number line:

Question 4 : Represent √3.5, √9.4, √10.5 and on the real number line.

Answer 4 :



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RD Chapter 1- Number Systems Ex-1.5 Contributors

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