NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1

Ex 1.1 Class 9 Maths Question 1.
Is zero a rational number? Can you write it in the form , where p and q are integers and q ≠ 0?
Solution:
Yes, zero is a rational number.
Zero can be written in any of the following forms :

Thus, 0 can be written as , where p = 0 and q is any non-zero integer.
Hence, 0 is a rational number.

Ex 1.1 Class 9 Maths Question 2.
Find six rational numbers between 3 and 4.
Solution:
The rational numbers between 3 and 4.


Ex 1.1 Class 9 Maths Question 3.
Find five rational numbers between  and .
Solution:
Since we want 5 rational numbers between  and , so we write

Ex 1.1 Class 9 Maths Question 4.
State whether the following statements are true or false. Give reasons for your answers.

1. Every natural number is a whole number.
2. Every integer is a whole number.
3. Every rational number is a whole number.

Solution:
(1) True: Every natural number lies in the collection of whole numbers.
(2) False: -3 is not a whole number.
(3) False:   is not a whole number.