NCERT Solutions for Class 9 Maths Chapter 1 Number Systems — Exercise 1.5

NCERT class 9 maths chapter 1 Number Systems

Question 1:Classify the following numbers as rational or irrational: (i) 2 − 5 (ii) (3 + 23) − 23 (iii) 2 7 7 7 (iv) 1 2 (v) 2

Exercise 1.5 maths class 9 Chapter 1 Number Systems

Question 2:Simplify each of the following expressions: (i) (3 + 3) (2 + 2) (ii) (3 + 3) (3 − 3) (iii) ( )2 5 + 2 (iv) ( 5 − 2 ) ( 5 + 2)

CBSE class 9 maths ncert solutions Chapter 1

Question 3:Recall,  is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is,  = c d  This seems to contradict the fact that  is irrational. How will you resolve this contradiction?

class 9 maths solutions Number Systems

Question 4:Represent 9.3 on the number line.

Question 5:Rationalise the denominators of the following: (i) 1 7 (ii) 1 7 − 6 (iii) 1 5 + 2 (iv) 1 7 − 2