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RD Chapter 1 Number Systems Ex 1.1 Solutions

Question - 1 : - Is zero a rational number? Can you write it P in the form pq , where p and q are integers and q ≠ 0? [NCERT]

Answer - 1 : - Yes, zero is a rational number e.g.

Question - 2 : - Find five rational numbers between 1 and 2. [NCERT]

Answer - 2 : -

We know that one rational number between two numbers a and b = a+b2
Therefore one rational number between 1 and 2

Question - 3 : - Find six rational numbers between 3 and 4. [NCERT]

Answer - 3 : - One rational number between 3 and 4

Question - 4 : - Find five rational numbers between 35 and 45

Answer - 4 : -


Question - 5 : -
Are the following statements true or false?
Give reason for your answer.
(i) Every whole number is a natural number. [NCERT]
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(iv) Every natural number is a whole number,
(v) Every integer is a whole number.
(vi) Every rational number is a whole number.

Answer - 5 : -

(i) False, as 0 is not a natural number.
(ii) True.
(iii) False, as 12, 13 etc. are not integers.
(iv) True.
(v) False, ∵ negative natural numbers are not whole numbers.
(vi) False, ∵ proper fraction are not whole numbers

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