# NCERT solution class 9 chapter 1 Number Systems exercise 1.1 mathematics

## EXERCISE 1.1

Page No 5:

#### Question 1:

Is zero a rational number? Can you write it in the form , where p and are integers and q ≠ 0?

Yes. Zero is a rational number as it can be represented as etc.

#### Question 2:

Find six rational numbers between 3 and 4.

There are infinite rational numbers in between 3 and 4.

3 and 4 can be represented as respectively.

Therefore, rational numbers between 3 and 4 are #### Question 3:

Find five rational numbers between .

There are infinite rational numbers between . Therefore, rational numbers between are #### 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.

(iii) False; as rational numbers may be fractional but whole numbers may not be. For example: is a rational number but not a whole number.