**Chapter 1 NUMBER
SYSTEMS**

**Ex 1.1
Class 9 Maths Question 1.**

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

Solution:

Yes, zero is a rational number it can be written in the form

0 =

**Ex 1.1
Class 9 Maths Question 2.**

Find six rational numbers between 3 and 4.

**Solution:
Let q _{i} be the rational number between 3
and 4, where j = 1 to 6.
**

**∴**

**Six rational numbers are as follows:**

Thus, the six rational numbers between 3 and 4 are

Thus, the six rational numbers between 3 and 4 are

**Ex 1.1
Class 9 Maths Question 3.**

Find five rational numbers between **and ****.**

**Solution:
Since, we need to find five rational numbers, therefore, multiply numerator and
denominator by 6.
**

**Ex 1.1
Class 9 Maths 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
**

**∵**

**The collection of all natural numbers and 0 is called whole numbers.**

(ii) False

(ii) False

**∵**

**Negative integers are not whole numbers.**

(iii) False

(iii) False

**∵**

**Rational numbers are of the form p/q, q ≠ 0 and q does not divide p completely that are not whole numbers**

0comments