NCERT Solutions for Class 9 Chapter 1 Number Systems -Free PDF Download
NCERT Solutions for Class 9 Maths Chapter 1 are about the numbers. There are various types of numbers that have different properties. In this chapter, students will understand how to solve questions on various types of numbers. In Class 9 Maths Chapter 1 Exercise 1.6, you will face problems related to rational and irrational numbers. We, at CoolGyan, give you a complete solution to Class 9 Maths Chapter 1 Exercise 1.6.
Maths Revision Notes for Class 9
| Chapter Name | Number Systems |
| Chapter | Chapter 1 |
| Exercise | Exercise 1.6 |
| Class | Class 9 |
| Subject | Maths NCERT Solutions |
| Board | CBSE |
| TEXTBOOK | CBSE NCERT |
| Category | NCERT Solutions |
1. Find:(i)
(ii)
(iii)
Ans. (i)
We know that
We conclude thatcan also be written as
Therefore, the value ofwill be 8.
(ii)
We know that
We conclude thatcan also be written as
Therefore, the value ofwill be 2.
(iii)
We know that
We conclude thatcan also be written as
Therefore, the value ofwill be 5.
2. Find:(i)
(ii)
(iii)
(iv)
Ans. (i)
We know that
We conclude thatcan also be written as
=27
Therefore, the value ofwill be 27.
(ii)
We know that
We conclude thatcan also be written as 
= 4
Therefore, the value of will be 4.
(iii)
We know that
We conclude that can also be written as 
= 8
Therefore, the value ofwill be 8.
(iv) 
We know that
We conclude thatcan also be written as
, or
.
We know that
We know thatcan also be written as
Therefore, the value ofwill be
.
3. Simplify:
(i)
(ii)(133)7(133)7
(iii)
(iv)
Ans. (i)
We know that
.
We can conclude that
Therefore, the value ofwill be
.
(ii) (133)7(133)7
We know that (am)n=amn(am)n=amn
=133×7=1321=133×7=1321=3−21=3−21
We conclude that (133)7(133)7can also be written as 3¯²¹
(iii)
We know that
We conclude that
.
Therefore, the value ofwill be
.
(iv)
We know that
.
We can conclude that
Therefore, the value ofwill be
.
