Class 8 Maths Chapter 10 Exercise 10.3: Chapter 10 of Class 8 Maths covers the concept of visualizing solid shapes. Detailed step-by-step solutions for all...

NCERT Solutions for Visualizing Solid Shapes Exercise 10.3 Class 8 Maths

April 11, 2024**Exercise 1.2 Class 9 Maths**: Class 9 Maths chapter 1 exercise 1.2 from the NCERT solutions present Number Systems Exercise 1.2, created by subject matter experts. This topic has been made simple for students to master. Students refer to it as they go through the exercises. Exercise 1.2 in Number Systems is about irrational numbers. The solutions contain extensive and step-by-step explanations of each answer to the problems in the NCERT textbook for class 9 activities.

The solutions are always written in accordance with NCERT rules, so that they cover the entire syllabus.We have provided detailed NCERT Solutions for Class 9 Maths Excercise 1.2 to help students understand the chapter properly. The Solutions will assist you in properly answering the intext questions and activities. These solutions are beneficial for performing well on first-term exams. Read the article more to get details on** class 9 maths exercise 1.2.**

**Maths class 9 chapter 1 exercise 1.2 **is a comprehensive study guide for students seeking in-depth understanding. NCERT Maths Class 9 Chapter 1 is written in accordance with NCERT and CBSE requirements. Many well-known names in mathematics have contributed to the NCERT solution for Class 9 Maths Chapter 1 to make the chapter easier for students. Embibe offers PDF downloads of complete NCERT Solutions for updated CBSE textbooks to students.

Class | Class 9 |

Name of the Chapter | Number System |

Exercise Number | Ex 1.2 |

Topic Name | Irrational Numbers |

Language | English |

SolutionType | Questions and Answers |

As part of this article, all NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2 are solved in accordance with the CBSE new guidelines.The CBSE Class 9 Maths Solutions offered here are among the best resources to prepare for the Class 9 Board Examination. For chapter-wise questions according to the new syllabus structure, students can refer to the NCERT Class 9 Books.

To help students solve the questions easily at the final examination, the exercise 1.2 class 9 solutions are provided step-by-step. The solutions are also provided in PDF format. The solutions are available for download for so students can prepare for their final examination. Listed below are the step-by-step solutions:

Download PDF Class 9 Maths Number System

**NCERT solutions for class 9 maths chapter 1 exercise 1.2 **number systems teaches about irrational numbers. An irrational number is a number that cannot be represented as a fraction. As a result, the questions are designed to provide students an easy comprehension of the same subject. NCERT Maths chapter 1 exercise 1.2 is made up of four problems that assist students in developing a fundamental knowledge of irrational numbers.

An important idea discussed in this exercise is the number line representation of irrational numbers. Students should fully understand the methods involved because such numbers cannot be easily marked on a number line.

We have included a synopsis of Chapter 1 Number System here. Make a note of them or print this out. Keep them in mind while you read this chapter to learn about the characteristics and laws of quadrilaterals. The following are the key points in NCERT textbook Class 9 Maths Chapter 1:

1. A rational number r is one that can be represented in the form p/q, where p and q are integers and q ≠ 0.

2. An irrational number is one that cannot be represented in the form p/q, where p and q are integers.

q ≠ 0.

3. A rational number’s decimal expansion is either terminating or non-terminating recurring. Furthermore, a number with a terminating or non-terminating decimal expansion is rational.

4. An irrational number’s decimal expansion is non-terminating and non-recurring. Furthermore, an irrational number is one whose decimal expansion is non-terminating and non-recurring.

5. The collection of real numbers is made up of all rational and irrational numbers.

6. Each point on the number line corresponds to a distinct real number. In addition, there is a distinct point on the number line for each actual number.

7. If r is rational and s is irrational, then r + s and r – s are irrational numbers, as are rs and r/s.

r ≠ 0.

8. For positive real numbers a and b, the following identities hold:

(i) ⎷ab = ⎷a ⎷b

(ii) ⎷a/b = ⎷a ⎷b

(iii) ( ⎷a+⎷b) (⎷a-⎷b) = a-b

(iv) (a+⎷b ) (a-⎷b ) = a2 – b

(v) (⎷a+⎷b)2 = a+ 2⎷ab + b

9. To rationalise the denominator of 1/⎷a+b, we multiply this by , ⎷a-b/⎷a-b, where a and b are integers.

10. Let a > 0 be a real number and p and q be rational numbers. Then,

(i) ap . aq = ap + q

(ii) (ap) q = a pq

(iii) ap / aq = ap-q

(iv) ap bp = (ab)p

The number system is discussed in Chapter 1 of Maths Class 9. The number system serves as the foundation for students even in the later study of this subject. According to your syllabus, this chapter discusses numerous types of number systems. The number system is the foundation upon which the entire field of mathematics is built. To do well on the exam, it is vital to comprehend them well.

There are several kinds of number systems. They are as follows:

- Natural Numbers are the numbers that are used for counting and always begin with one.
- Whole Numbers are all-natural numbers that include zero.
- Integers are the set of all whole numbers and their corresponding negative numbers.
- A rational number is any number that can be represented as a ratio of two natural numbers.
- Irrational Numbers are any numbers that cannot be expressed as a ratio of two natural numbers.

- Students can use the NCERT Solutions for Class 9 Maths Chapter 1 to practise, solve, and revise all of the major ideas discussed in this chapter.
- Students will be able to achieve maximum marks in their Math exams after going through the step-by-step solutions supplied by our subject specialists.
- The NCERT Solution includes answers to all exercise and intext questions for your convenience and learning.
- It contains all of the topic-specific key questions for the examination.
- You can go over the steps again and focus on your weak areas.

The subject experts at Embibe have curated the solutions in a thorough manner to develop all students’ problem-solving skills. Students can use Embibe’s study tools such as video lectures, 3D visualisations, and so on to get a better understanding of Number Systems.

Maths is a high-scoring subject. Students must completely understand all concepts to apply formulas. Extensive practice for all chapters is required to solve questions step by step for the Class 9 final exam.

- Concentrate on understanding the concepts of each topic.
- Make separate notes for each topic. Make a list of all the formulas covered by it, along with illustrations for each. This will assist you determine when to use the formula.
- Practice as many questions on each topic as you can, and you will be able to answer questions of varying difficulty levels.
- Take practice examinations to learn time management so that you can examine your solutions.
- You can memorise some formulas, but you must practise them sufficiently to know when to use them.
- Concentrate on your NCERT books and answer all of the questions in them.
- Make a list of all the mistakes you make and answer enough questions to keep them from repeating them in the final paper.

Mock tests are available for on Embibe. Analysing your performance will help you identify your strengths and shortcomings and concentrate on the areas where you need to improve.

The number system is discussed in Chapter 1 of Maths Class 9. The number system serves as the foundation for students even in the later study of this subject. According to your syllabus, this chapter discusses numerous types of number systems. The number system is the foundation upon which the entire field of mathematics is built. To do well on the exam, it is vital to comprehend them well.

There are several kinds of number systems. They are as follows:

- Natural Numbers – These are the numbers that are used for counting and always begin with one.
- Whole Numbers are all-natural numbers that include zero.
- Integers are the set of all whole numbers and their corresponding negative numbers.
- A rational number is any number that can be represented as a ratio of two natural numbers.
- Irrational Numbers are any numbers that cannot be expressed as a ratio of two natural numbers..

**Ans:** As this exercise deals with Irrational numbers there are many advantages of opting for Embibe’s NCERT Solutions. These NCERT Solutions help you solve and revise all the questions from exercise 1.2.in a very less time. These stepwise solutions are given by our subject expert teachers, so you will be able to get more marks. These are designed as per the NCERT guidelines which help in preparing the Class 9 students accordingly. The solutions consist of answers to all the important questions from the final examination point of view.

**Ans: **You will study in Class 9 Maths Chapter 1 Number System that a number system is called a rational number if it can be represented in the form of p/q, the decimal expansion of a rational and irrational number, and what is a real number. The term “real numbers” refers to all real and irrational numbers combined.

**Ans:** The exercises covered in NCERT Chapter 1 of Class 9 Maths are: Exercise 1.1: 4 Questions (4 short answers), Exercise 1.2: 4 Questions (4 short answers), Exercise 1.3: 9 Questions (8 short answers, 1 long answer), Exercise 1.4: 2 Questions (2 long answers) Exercise 1.5: 5 Questions (4 short answers, 1 long answer), and Exercise 1.6: 3 Questions (3 short answers).

**Ans: **You can use Embibe’s NCERT Solutions to understand chapter numbering better**.** Here are the detailed and step-by-step NCERT Solutions for Chapter 1 of Class 9 Maths. Students of Class 9 will be able to understand the NCERT Solutions for Class 9 Chapter 1.

**Ans:** Embibe presents the lesson in detail. Students will find all kinds of questions that can be expected in the exam explained clearly.

It is important to solve all the questions from the NCERT Solutions Class 9 Maths for Chapter 1 in this article, which is to download, in order to learn the basic concepts of number system and understand the more complex topics. In addition, solve previous years’ questions that you can get from a senior or one of your teachers. The following list of important books for Class 9th has been compiled to assist students in achieving maximum scores. Students can study their subjects using these interactive books and attempt mock tests to build a strong conceptual foundation in the topics and gain confidence to perform well on the test.

Quick links:

CBSE NCERT Solutions Class 6-12 | NCERT Solutions for Class 12 Biology |

Class 12 Biology Syllabus 2021-22 | NCERT Solutions For Class 12 Mathematics |

*We hope you find all the Class 9 updated information in this article. If you have any further queries, drop us a comment below. We will get back to you. *

*Till then, stay tuned to **Embibe** for the latest information on Class 9 preparation strategies and tips and tricks to perform well.*