Class 9 Maths Chapter 1 Number Systems NCERT Solutions

Vikash Sharma

Maths by Vikash Sharma

Expert Educator | Class 9


Exercise 1.1

🔹 Exercise 1.1 Solution

✔ Question 1

Is zero a rational number?

👉 Solution:
Yes, 0 is a rational number because it can be written in the form p/q.
For example: 0 = 0/1

✔ Question 2

Find six rational numbers between 3 and 4.

👉 Solution:
We can write:
3 = 30/10 and 4 = 40/10

Six rational numbers between them are:
31/10, 32/10, 33/10, 34/10, 35/10, 36/10

✔ Question 3

Find five rational numbers between 0 and 1.

👉 Solution:
0 = 0/5 and 1 = 5/5


Five rational numbers are:
1/5, 2/5, 3/5, 4/5

Exercise 1.2

🔹 Exercise 1.2 Solutions

✔ Question 1

Express 0.333… in p/q form.

👉 Solution:
Let x = 0.333…

10x = 3.333…

10x − x = 3

9x = 3

x = 3/9 = 1/3


✔ Question 2

Express 0.142857… in p/q form.

👉 Solution:
Let x = 0.142857…

1000000x = 142857.142857…

1000000x − x = 142857

999999x = 142857

x = 142857 / 999999 = 1/7

Exercise 1.3

Exercise 1.4

Exercise 1.5

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