Class 9 Maths Ch 1: Number Systems Ex 1.1 Solutions

Ex 1.1 Class 9 Maths | Class 9 Maths Ch 1: Number Systems Ex 1.1 Solutions

Question 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 rational number.

A rational number is any number that can be expressed in the form: p/q

where p and q are integers, and q≠0

Zero can be written as: 0/1

Here:

p=0 (an integer),
q=1 (an integer), and
q≠0

Thus, zero fits the definition of a rational number because it can be written as a fraction where the numerator is an integer and the denominator is a non-zero integer.

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:
NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1 Q2
Thus, the six rational numbers between 3 and 4 are

Ex 1.1 Class 9 Maths

Question 3.
Find five rational numbers between 3/5 and 4/5.
Solution:
Since, we need to find five rational numbers, therefore, multiply numerator and denominator by 6.

Ex 1.1 Class 9 Maths| NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.1

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
∵ Negative integers are not whole numbers.
(iii) False
∵ Rational numbers are of the form p/q, q ≠ 0 and q does not divide p completely that are not whole numbers

📘 Math & Science Solutions by Class

🔹 Class 10

🔹 Class 9

🔹 Class 8

🔹 Class 7

🔹 Class 6

🔹 Class 11

For the official Class 10 Mathematics Solutions, you can visit:

NCERT Textbooks (for Class 10):
https://ncert.nic.in/textbook.php?class=10