**Class 9 Maths Chapter 1 Solution for CBSE Board**

Class 9 Maths Exercise 1.1 in English

Class 9 Maths Exercise 1.2 in English

Class 9 Maths Exercise 1.3 in English

Class 9 Maths Exercise 1.4 in English

Class 9 Maths Exercise 1.5 in English

**Class 9 Maths Chapter 1 Solution for State Boards**

Class 9 Maths Chapter 1 Exercise 1.1

Class 9 Maths Chapter 1 Exercise 1.2

Class 9 Maths Chapter 1 Exercise 1.3

Class 9 Maths Chapter 1 Exercise 1.4

Class 9 Maths Chapter 1 Exercise 1.5

Class 9 Maths Chapter 1 Exercise 1.6

**Class 9 Maths Chapter 1 Solution in Hindi**

Class 9 Maths Exercise 1.1 in Hindi

Class 9 Maths Exercise 1.2 in Hindi

Class 9 Maths Exercise 1.3 in Hindi

Class 9 Maths Exercise 1.4 in Hindi

Class 9 Maths Exercise 1.5 in Hindi

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems in Hindi Medium and English medium has been updated for academic session 2024-25. Tiwari Academy is a popular online platform that provides educational resources and solutions for students. As we continue to offer Class 9 Maths NCERT Solutions, here are some potential benefits of using Tiwari Academy for learning Class 9 Maths. Question-answers and solutions are modified as per revised NCERT book published for 2024-25 syllabus. We typically provides simple yet complete solutions to NCERT textbooks, including step-by-step explanations for each problem. This can be especially helpful for students who may find difficulty in understanding certain concepts.

## NCERT Solutions for Class 9 Maths Chapter 1

Class: 9 | Mathematics |

Chapter 1: | Number Systems |

Number of Exercises: | 5 (Five) |

Content: | NCERT Textbook Solutions |

Mode of Content: | Videos and Online Text Format |

Academic Year: | Session 2024-25 |

Medium: | English and Hindi Medium |

All the Solutions for Class 9th Maths Chapter 1 have been updated according to latest CBSE Curriculum and NCERT Books for 2024-25. Since UP Board Students are using same NCERT Textbooks, they can also download UP Board Solutions for Class 9 Maths Chapter 1 in Hindi Medium or English Medium. Class 9 Maths NCERT Solutions have been provided by explaining the formulae and giving step by step explanation.

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

The content is according to the latest CBSE syllabus 2024-25 for the students of CBSE Board as well as UP Board and MP Board following the updated NCERT (https://ncert.nic.in/) Books for their final exams. Solutions for chapter 1 9th Maths are available in PDF format on our website Tiwari Academy and also through videos on Apps and website.

#### About 9th Maths Chapter 1 Solutions

The topic Number Systems is the basis of Arithmetic. It is like learning the alphabets of any mathematics. We can say that 9th Maths chapter 1 is the foundation of Maths for secondary classes.

CBSE NCERT Solutions for Class 9 mathematics Chapter 1 Number Systems in PDF format. These solutions are available for free download for session 2024-25. These are updated as per latest curriculum. Kindly visit the Discussion Forum and become a partner in knowledge sharing in mathematics. NCERT Solutions Offline Apps 2024-25, work without internet connection. Everything on Tiwari Academy website and Apps are available free of cost. No login or registration is required.

### 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…

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

1. Natural numbers are those numbers which are used for counting.

2. Whole numbers are the collection of all natural numbers together with zero.

3. Integers are the collection of all whole numbers and negative of natural numbers.

4. 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.

5. 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.

6. 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.

### 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 fifth exercise (Ex 1.4), there are five questions.

In the sixth exercise (Ex 1.5), there are three questions.

So, there are in all 25 questions in chapter 1 (Number systems) of class 9 Maths.

There are in all 20 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.