**Chapter 1 Number Systems Ex 1.1**

**Question 1.** **Is zero a rational number? Can you write it in the form **pq**,where p and q are integers and q ≠ 0?** **Solution:**

Yes, write 01(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

**Question 3.** **Find five rational numbers between **35** and **45**.** **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 [∵ 13, 67, 1019 )are not whole numbers.