NCERT Solutions for Class 9 Maths Chapter 1 Number System In Hindi

In everyday life, people often need to describe, represent, or associate certain things or objects with numbers. This is due to the fact that assigning quantities to specific values ​​or aspects of life makes it easier to compare them with other similar aspects. For example, a teacher who grades students’ assignments assigns a specific number based on the assignment, rather than giving each assignment an adjective such as “good”, “better”, “great”, or “worse”. Teachers assess students’ performance so that they can easily assess a student’s level of knowledge and preparation, but applying the former approach leads to complete confusion from which accurate comparisons cannot be drawn. Eventually, teachers run out of adjectives that are appropriate for the particular situation, and the same word is used to evaluate each student’s unique response. Therefore, reliable assessment necessitates the use of a unique valuation methodology that not only helps determine the true value of the properties in question but also represents this assessment fairly and clearly. Such systems that use specific words or symbols to quantify specific objects or values ​​are called number systems.

• Number

A number refers to a word or symbol that represents a specific quantity. Many arithmetic operations are performed only with the help of numbers. Even the most basic tasks and functions require the application of numbers. Money that is exchanged for goods also has a certain numerical value. A series of grouped numbers is used to assign contact numbers to individuals.This is what numbers mean to human lives. Therefore, it is imperative to know more about numbers and number systems, for which students can take the help of NCERT Solutions For Class 9 Maths Chapter 1 In Hindi.

• Number line

A number line represents numbers at regular intervals on a straight line. The number line contains all kinds of numbers, including natural numbers, rational numbers, and integers. Numbers on the number line increase when moving from left to right and decrease when moving from right to left. The ends of the number line are undefined. Numbers on the number line range from infinity to the left of zero to infinity to the right. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi will be helpful in understanding the theme of Number line embedded in Chapter 1.

• Counting Number

A collection of numbers for counting specific things like this is called a counting number. Such a series of numbers starts at 1 and continues to infinity. 1 represents one object here. For example, Mr. A has a pencil and a pen in his hand, or he ate a banana today. Adding two numbers yields another number. They are actually used for basic exchanges, calculations, and manipulations.

• Number Zero

The number Zero is represented by 0 and is used to denote nothing. In other words, if something has no value at all, that quantity is assigned the number zero. The digit zero precedes all counts to form a set of “integers”. There are several different kinds of numbers in Mathematics.

• Natural Numbers 

A sequence of numbers for counting things is called a natural number. Such a series of numbers starts at 1 and continues to infinity. Integers include a set of numbers that is inclusive of all positive integers plus zero. An integer is an integer that has a positive value, a negative value, or no value at all. Real numbers are those numbers that include both rational numbers and their irrational counterparts. Rational numbers are such numbers that can be expressed in the form of fractions. 

Apart from the above types, there are also the following categories of numbers:

All the numbers which can be divisible by 2 are referred to as Even Numbers. For example: 2,4,…12….etc. Odd Numbers are those numbers that are not divisible by 2. Examples include 3, 5, 7, 9….., etc. Prime Numbers are those that are exactly divisible by themselves or by 1. Plural Numbers are those numbers which have multiple factors other than 1 and the number itself, e.g. 16, 20, 50, etc. It is evident that numbers are used to represent specific quantities. The use of certain symbols or digits to represent the numbers themselves forms a number system. A number system is therefore a system that can be used to define a set of values ​​and is also used to represent a set. 

• Types of number systems

There are many different types of number systems in the academic discipline of Mathematics. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are inclusive of the solutions to the exercises of the first chapter of Class 9 Mathematics. Number systems are discussed in detail in NCERT Solutions For Class 9 Maths Chapter 1 In Hindi. This chapter deals with number systems and their applications. The introduction to this chapter describes various kinds of numbers, such as Integers, and Rational Numbers. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi begin with an Introduction to Number Systems in Section 1.1, followed by two very important topics in Sections 1.2 and 1.3.

• Irrational Numbers – A number that cannot be expressed as p/q. 

• Real Numbers and Their Decimal – Within this section, students would examine the decimal extensions of real numbers to see if they could distinguish between rational and irrational numbers. Students could comprehensively understand these topics and associated themes with the aid of NCERT Solutions For Class 9 Maths Chapter 1 In Hindi.

• Representing Real Numbers on the Number Line 

• Real Number Arithmetic – Within this theme, students will learn about mathematical operations such as addition, subtraction, multiplication, and division with irrational numbers.

• Real Power Laws – Students would learn about the number system and how to solve different types of problems, with the assistance of Class 9 Mathematics NCERT solutions. These are also one of the best academic resources to revise for the CBSE annual exams.

• Key Benefits of NCERT Solutions For Class 9 Maths Chapter 1 In Hindi for Number System are as follows:

• These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi will help students familiarise themselves with the Class 9 CBSE syllabus for Mathematics. 

• Students can get more points after doing the step-by-step solutions provided by expert teachers of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi contain the solutions to all the questions that are important from an examination point of view. 

• The NCERT Solutions for Class 9 Maths Chapter 1 in Hindi aid in the preparation of board exams in mathematics. For a clearer idea of the chapter on ​​Number Systems, students can refer to NCERT Solutions For Class 9 Maths Chapter 1 In Hindi which are credible study materials available at Extramarks.

Students can download NCERT Solutions For Class 9 Maths Chapter 1 In Hindi and English from the e-learning platform of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi provided to students are designed in a simple and easy-to-understand language that is easy to remember. Students can also download the PDF versions of NCERT Solutions For Class 9 Maths Chapter 1 In Hindi from the Extramarks website. Extramarks also offers NCERT Solutions For Class 9 Maths Chapter 1 In Hindi and other CBSE solutions in English and Hindi for all classes. Created by subject matter specialists, these Hindi NCERT solutions are very useful for students of all classes. Students can also access NCERT Class 9 Science solutions on the Extramarks educational website.

NCERT Solutions for Class  9 Maths Chapter 1 Number System In Hindi pdf Download

Some of the key features of NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are the following:

• These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi will help students solve and fix all the important questions related to the Number System in annual exams.

• These step-by-step NCERT Solutions For Class 9 Maths Chapter 1 In Hindi,  are curated by experienced teachers with exceptional expertise in Mathematics.

• Practising these NCERT Solutions For Class 9 Maths Chapter 1 In Hindi will help students perform well on exams.

• Reliable and trustworthy solutions are provided in NCERT Solutions For Class 9 Maths Chapter 1 In Hindi on the Extramarks learning portal to help students gain a comprehensive understanding.

• The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi have been prepared by highly qualified mentors of Extramarks taking into account the comprehension abilities of all students.

• The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are designed to help students gain a solidified understanding of each concept. 

• These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi will give students a smooth understanding of all the concepts, including the advanced concepts explained in the textbook.

The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi PDF download option is readily available on the Extramarks educational website When students visit the website, theywill be required to register their’ phone numbers and email addresses with the website. Students can then download high-quality learning materials with one click. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi can also be downloaded from the Extramarks Learning App. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi have been prepared with the requirements of students studying in Hindi-medium schools in mind. These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are made in a simple and easy-to-understand language, which gives students countless advantages. The best feature of these NCERT Solutions For Class 9 Maths Chapter 1 In Hindi is the easy download option. Class 9 students are free to download these NCERT Solutions For Class 9 Maths Chapter 1 In Hindi for self-study.

These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are the compilation of all the answers to the textbook exercises. Solutions inculcated in NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are provided in a step-by-step format and are very well-researched by highly knowledgeable instructors with relevant experience in the field. Where appropriate, relevant charts, graphs, and illustrations are provided along with the NCERT Solutions For Class 9 Maths Chapter 1 In Hindi which underlines their significance for examination preparation and quick review before annual exams.

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It is sensible to agree that the Number System has relevance for everything, including ratios and percentages. Digit systems play an important role both in humans’ daily lives and in the world of technology. With its myriad qualities, it greatly simplifies human lives. Everything around a person can be counted. This allows students to clearly and accurately represent many different kinds of numbers. Elevators used in public places also rely on a numbering system for their function. The encryption of sensitive data by converting numbers to another number system can aid to prevent data hacking and misuse. The entire computer architecture relies on a number system (octal, hexadecimal). Each data fibre is stored as a number on a computer.

The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are prepared by highly efficient teachers of Extramarks. These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi would help students solve board exam problems skillfully and efficiently. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi also focus on formulating mathematical solutions in a way that is easy for students to understand. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are intended to provide students with detailed, step-by-step explanations of all the answers to the questions given in the exercises in this chapter. In NCERT Solutions For Class 9 Maths Chapter 1 In Hindi, students are introduced to a number of key concepts that are considered very important for students wishing to take Mathematics as a subject in senior classes. With the assistance of these NCERT Solutions For Class 9 Maths Chapter 1 In Hindi, students can practise and prepare for upcoming annual exams and acquire the essential knowledge for comprehending the curriculum of Class 10. These NCERT Solutions For Class 9 Maths Chapter 1 In Hindi are helpful as they are prepared in relation to the latest CBSE syllabus update for 2022-23 and its guidelines.

NCERT Solutions for Class 9 Maths Chapter 1 Number System in Hindi

The concept of a Number System refers to a set of symbols and rules for representing numbers that are used to identify the number of items in each set. Thus, the concept of “unity” can be represented by the Roman numeral I, the Greek letter alpha α, which is the first letter used as a digit, and the Hebrew letter Aleph, which is the first letter used as a digit. A Number System is a mathematical representation of numbers in a particular set. For further discussion, students have to understand the number system. Perhaps the earliest inscribed symbols in ancient Mesopotamia were numeral symbols. There is a weighted system of numbering in use today, that is, the value of these numbers depends on the number’s position or location in the representation. For example, the 3 in 30 and 300 represent 30 and 300, respectively. 

The Roman, Hebrew, and Greek number systems of ancient civilisations had no positional properties and involved very complex arithmetic calculations. However, other systems, including the Babylonian, Chinese, and Indian versions, and the Mayan system, used the value-of-place principle. The number system was developed in Egypt, Babylon, and Rome, and other versions are called Hindu-Arabic, Mayan, and modern American number systems.

Mathematical evolution is believed to have begun before the beginning of systems of counting numbers. There are different divisions under the number system. The singular number system. The simplest number system is the singular number system, where each natural number is represented by the same number of symbols. Counters are one system that is still in regular use today. Students are required to know that alias gamma encoding, commonly used in data compression, represents numbers of arbitrary size by using a unary to denote the length of the binary number. For example, / represents 1, If * represents 10 and – represents 100, then the number 304 can be compactly represented as — //// and the number 123 without a zero can be represented as – ** ///, which would look like this.

The chapter encapsulated in the NCERT Solutions For Class 9 Maths Chapter 1 In Hindi is titled Number Systems. The Number System and its applications are discussed in detail in this chapter. The NCERT Solutions For Class 9 Maths Chapter 1 In Hindi enclose the following topics:

• Classification of different types of numbers such as natural numbers, integers, rational numbers, irrational numbers, integers, etc.

• Real numbers and their decimal extensions

• Representation of real numbers: number line

• Real Arithmetic: Operations such as addition, subtraction, multiplication, and division of irrational numbers

• Power law for real numbers