# NCERT Solutions for Class 9th Mathematics

## Chapter 1. Number Systems

### Exercise 1.1

**Exercise:1.1**

Q1. Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?

**Solution: **

Yes, zero is a rational number, because it can be represented on a number line and it can be written in the form of p/q,

Where P = 0 and q ≠ 0;

Q4. 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) Every natural number is a whole number. (True)

**Reason**: Whole numbers contains all natural numbers.

(ii) Every integer is a whole number. (**False**)

**Reason**: Integers have also negative number while whole number does not have such negative numbers.

(iii) Every rational number is a whole number. (**False**)

**Reason:** Rational numbers have variety of numbers, those numbers can not be represented as whole number.