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

Question 1.
Is zero a rational number? Can you write it in the form \(\frac { p }{ q }\),where p and q are integers and q ≠ 0?
Solution:
Yes, write \(\frac { 0 }{ 1 }\)(where 0 and 1 are integers and q = 1 which is not equal to zero).

Question 2.
Find six rational numbers between 3 and 4.
Solution:
There can be infinitely many rationals between 3 and 4, one way is

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Question 3.
Find five rational numbers between \(\frac { 3 }{ 5 }\) and \(\frac { 4 }{ 5 }\).
Solution:

Question 4.
State whether the following statements are true or false. Give reasons for your answers. ‘
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.
Solution:
(i) True, because natural numbers are 1, 2, 3, 4 ……….∞ and whole
numbers are 0,1, 2, 3, 4, 5, ……..,∞
or
The collection of whole numbers contain all the natural numbers.
(ii) False (∵ negative integers are not included in the list of whole numbers.)
(iii) False [∵ \(\frac { 1 }{ 3 }\), \(\frac { 6 }{ 7 }\), \(\frac { 10 }{ 19 }\) )are not whole numbers.

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