__Class IX CBSE Mathematics (Number System)__

**NCERT Solutions of Mathematics**

**Exercise 1.1**

**Solved**

(Page 5)

Q1: Is zero a rational number? Can you write it in the form p/q, where

*p*and*q*are integers and*q*≠ 0?Answer: Yes zero is a rational number and it can be represented in the form

Q2: Find six rational numbers between 3 and 4.

Answer: There can be infinite rational numbers in between 3 and 4.

Q3: Find five rational numbers between

.

Answer: There are infinite rational numbers between these two numbers as given below:

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.

Answer:

(i) True, since the collection of whole numbers contains all natural numbers.

(ii) False, as integers may be negative while whole numbers are positive. For example: −2 is an integer but not a whole number.

(iii) False, as rational numbers can be fractional also but whole numbers may not be. For example:

is a rational number though not a whole number.

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