RD Sharma Solutions for Class 9 Chapter 1 Number System Exercise 1.1

Chapter 1 Number System RD Sharma Solutions Exercise 1.1 Class 9 Maths

Chapter Name	RD Sharma Chapter 1 Number System Exercise 1.1
Book Name	RD Sharma Mathematics for Class 10
Other Exercises	Exercise 1.2 Exercise 1.3 Exercise 1.4 Exercise 1.5 Exercise 1.6
Related Study	NCERT Solutions for Class 10 Maths

Exercise 1.1 Solutions

1. 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 rotational number. It can be written in the form of p/q where q to as such as 0/3, 0/5, 0/11, etc...

2. Find five rational numbers between 1 and 2. 

Solution 

Given to find five rotational numbers between 1 and 2
A rotational number lying between 1 and 2 is  

Recall that to find a rational number between r and s, you can add r and s and divide the sum by 2, that is (r + s)/2 lies between r and s so, 3/2 is a number between 1 and 2. You can proceed in this manner to find four more rational numbers between 1 and 2, these four numbers are, 5/4, 11/8, 13/8 and 7/4

3. Find six rational numbers between 3 and 4. 

Solution

Given to find six rotational number between 3 and 4 
We have, 

4. Find five rational numbers between 3/4 and 4/5

Solution

Given to find 5 rotational numbers lying between 3/5 and 4/5.
We have, 

5. Are the following statements true or false? Give reasons for your answer.

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) Every rational number is a whole number.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Evert rational number is a whole number.

Solution

(i) False

As whole numbers include zero, whereas natural number does not include zero.

(ii) True

As integers are a part of rotational numbers.

(iii) False

As integers are a part of rotational numbers.

(iv) True

As whole numbers include all the natural numbers.

(v) False

As whole numbers are a part of integers.

(vi) False

As rotational numbers includes all the whole numbers.