# NCERT Solutions for Class 9 Maths Chapter 1

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems in Hindi Medium and English medium PDF format to free download for academic session 2021-22. All the Solutions for Class 9th Maths Chapter 1 are updated according to latest CBSE Curriculum and new NCERT Books. UP Board Students are using same NCERT Textbooks for course. So, they can also download UP Board Solutions for Class 9 Maths Chapter 1 in Hindi Medium or English Medium. 9th Maths NCERT Solutions are prepared by describing all the steps and formulae. Contents are according to Latest CBSE Syllabus 2021-22 for the students of CBSE Board as well as UP Board, MP Board, etc.

following NCERT Books 2021-22 for their final exam March 2021. 9th Maths Chapter 1 Solutions are available in PDF Format, Online study mode and Videos format. Everything is free to use.## NCERT Solutions for Class 9 Maths Chapter 1

### Class 9 Maths Chapter 1 all Exercises Solutions

- NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1
- NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2
- NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.3
- NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.4
- NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.5
- NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.6

### Class 9 Maths Chapter 1 Solutions in PDF Foramt

### 9th Maths Chapter 1 Sols in English and Hindi Medium

Class: 9 | Maths (English and Hindi Medium) |

Chapter 1: | Number Systems |

#### Class 9 Maths Exercise 1.1 and 1.2 Solution in Hindi Medium Videos

#### Class 9 Maths Exercise 1.1, 1.2 Solutions in Video

#### Class 9 Maths Exercise 1.3 and 1.4 Solution in Hindi Medium Videos

#### Class 9 Maths Exercise 1.3, 1.4 Solutions in Video

#### Class 9 Maths Exercise 1.5 and 1.6 Solution in Hindi Medium Videos

#### Class 9 Maths Exercise 1.5, 1.6 Solutions in Video

#### About 9th Maths Chapter 1 Solutions

CBSE NCERT Solutions for Class 9 Maths Chapter 1 Number Systems solutions in PDF form for free download updated for session 2021-22. Visit to Discussion Forum to share your knowledge. Download NCERT Solutions Offline Apps 2021-22, which work without internet connection. Everything on Tiwari Academy website or apps are free of cost. No login or registration is required.

##### Important Terms on 9th Maths Chapter 1

- Natural numbers are those numbers which are used for counting.
- Whole numbers are the collection of all natural numbers together with zero.
- Integers are the collection of all whole numbers and negative of natural numbers.
- Rational numbers are those numbers which can be expressed in the form of p/q, where p, q are integers and q is not equal to 0.
- Irrational numbers are those numbers which cannot be expressed in the form of p/q, where p, q are integers and q is not = 0.
- Real numbers are the collection of all rational and irrational numbers.

###### Do you know?

- Two numbers are said to be equivalent, if numerators and denominators of both are in proportion or they are reducible to be equal.
- The decimal expansion of real numbers can be terminating or non-terminating repeating or non-terminating non-repeating.
- The decimal expansion of rational numbers can either be terminating or non-terminating and vice-versa.
- The decimal expansion of irrational numbers can either be non-recurring and vice-versa.

###### More to know?

- If a is a rational and b is an irrational, then a + b and a – b are irrational, and ab and a/b are irrational numbers, where b is not equal to 0.
- If a and b both are irrational, then a+b, a-b, ab and a/b may be rational or irrational.
- If a be any real number and n be any positive integer such that a^1/n = n√a is a real number, then ‘n’ is called exponent, a is called radical and √ is called radical sign.

### Important Questions on 9th Maths Chapter 1

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

Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q≠0.

##### Simplify each of the following expression: (3 + √3)(2 + √2)

(3 + √3)(2 + √2)

= 6 + 3√2 + 2√3 + √6

##### Find six rational numbers between 3 and 4.

Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.

##### Express 0.99999… in the form of p/q . Are you surprised by your answer?

0.99999… Let x = 0.99999… … (i) Multiplying equation (i) by 10 both sides 10x = 9.99999… ⇒ 10x = 9 + 0.99999…… ⇒ 10x = 9 + x [From equation (i)] ⇒ 10x – x = 9 ⇒ 9x = 9 ⇒ x = 9/9 = 1 The answer makes sense as 0.99999… is very close to 1, that is why we can say that 0.99999=1.

##### Write three numbers whose decimal expansions are non-terminating non-recurring.

Three non-terminating non-recurring decimals: 0.414114111411114… 2.01001000100001… π=3.1416…

##### How many questions in each exercise are given in chapter 1 of class 9 Maths?

There are 6 exercises in chapter 1 (Number systems) of class 9 Maths.

In the first exercise (Ex 1.1), there are four questions.

In the second exercise (Ex 1.2), there are four questions.

In the third exercise (Ex 1.3), there are nine questions.

In the fourth exercise (Ex 1.4), there are two questions.

In the fifth exercise (Ex 1.5), there are five questions.

In the sixth exercise (Ex 1.6), there are three questions.

So, there are in all 27 questions in chapter 1 (Number systems) of class 9 Maths.

There are in all 21 examples in chapter 1 (Number systems) of class 9 Maths.

##### What are the core topics to study in chapter 1 Number systems of class 9 Mathematics?

In chapter 1, Number systems of class 9 Maths, students will study:

- 1. Natural Numbers, Whole Numbers, Integers, Rational Numbers.
- 2. Irrational Numbers.
- 3. Real Numbers and their Decimal Expansions.
- 4. Representing Real Numbers on the Number Line.
- 5. Operations on Real Numbers.
- 6. Laws of Exponents for Real Numbers.

##### Is chapter 1 of class 9th Maths difficult to solve?

Chapter 1 of class 9th Maths is not easy and not difficult. It lies in the middle of easy and difficult because some examples and questions of this chapter are easy, and some are difficult. However, the difficulty level of anything varies from student to student. So, Chapter 1 of class 9th Maths is easy or not depends on students also. Some students find it difficult, some find it easy, and some find it in the middle of easy and difficult.

##### How long it takes to study chapter 1 of class 9th Maths?

Students need a maximum of eight days to do chapter 1 of class 9th Maths if they give at least 2 hours per day to this chapter. This time also depends on student’s speed, efficiency, capability, and many other factors.