# NCERT Solutions Class 10 Maths Chapter 1 In Hindi

Each chapter, topic, and task is crucial to the growth of a wonderful person. Although each class has a different significance in a student’s life, have students ever thought about why Class 10 is more significant? Class 10 is without a doubt one of the most important formal education levels.One goes through turbulent hormonal and emotional changes at this time, which mark the start of maturity. Powerful knowledge and wisdom are acquired over time. The degree of difficulty and level of the courses cause students to become more serious and responsible. Typically, students grow up to be more responsible adults. The Class 10 Board Exams are unique among other tests because they are the first nationalised external examination for students.

The CBSE conducts the Class 10 Board Exams every February. Almost all students think that board exams, particularly in mathematics, are among the most difficult. In order to help students clear up their questions about the Class 10 Mathematics Examinations, we have supplied some vital suggestions.

Before choosing a highly specialised path in Class 10, students must study a variety of courses. So, Class 10 is a paradigm- and career-changing experience. Students strive to pinpoint their areas of interest while conducting in-depth research on each subject. Based on the information and their exam scores, they select their stream. In class 10, students are helped to organise their options and decisions in order to illuminate the path to successful jobs.

Every subject’s topic isimportant in some way. Students need to have a fundamental understanding of every topic in order to develop and evolve infinitely and to become reasonable and responsible citizens. One needs a vision in order to achieve the seemingly unattainable. Despite how much students dislike this requirement and the board test, as they mature, they come to appreciate the importance of Class 10.

Students who are concerned about board exams may make up stories concerning the exam. But they should be aware that it’s just exam worry, which is completely normal and manageable with cautious planning. Due to their preparation, students shouldn’t be frightened to perform well in the Class 10 Mathematics Board Exam. Losing points on the Class 10 Mathematics Board Exams can result from an erratic and unorganised study schedule.

As a result, maintaining a sharp focus is necessary to perform well on the exam. Many students think that to perform well in the Mathematics exams, one must be exceptionally intelligent and gifted intellectually. However, this is not the case. One who develops rational thinking skills and is aware of the logical approach will perform better on the board exams.

The results of the Class 10 board examsare one of the main factors taken to account for determining admissions into colleges. They demonstrate a student’s degree of academic success and are a crucial component of a resume. To determine which applicants would be admitted, several famous institutions and colleges assign different points for Class 10 marks. Thus, Class 10 changes everything and has an impact on professions. Each subject is thoroughly studied, and the students work to identify their areas of interest. Based on this information and the results of their exams, they choose which stream to enrol in. By strengthening their decision-making skills in Class 10, students gain.

By conquering test stress and tension, the Class 10 board exams assist students in developing mental strength and composure. Students will feel confident enough to take and pass more difficult exams after clearing the Class 10 board exams. The ability to manage time and stress will be taught to students so they can perform successfully under pressure.

When taking their Class 10 board exams in several venues, students must push themselves beyond their comfort zones. Because teachers rather than students devised and graded the exam, students can analyse their outcomes more properly. When pupils handle a challenging scenario well, they gain confidence for the future.

Every student strives to get the best marks possible. Understanding the entire syllabus is essential, and being aware of the key portions will help students gauge how much time to devote to each. For instance, if students know there will be a 5-mark question from a particular section, they don’t need to spend much time on the questions. Many questions may be difficult for the students to answer.One must remain calm and avoid panicking in such a situation.

It is advised that the students start with problems that are straightforward and don’t require much time to solve. They will feel more comfortable responding to difficult queries as a result. If a particular type of question is taking too long to answer or is difficult to comprehend, one must move on to the next question. Don’t let students waste time on a question they aren’t sure of.

Mathematics is one of the required subjects for the Class 10 board exam. 15 distinct chapters cover a range of topics in mathematics for Class 10.The Central Board of Secondary Education covers a variety of Mathematics subjects, such as algebra, geometry, trigonometry, statistics, etc. . The first chapter of Class 10 Mathematics focuses on real numbers. his chapter is an important part of mathematicsStudents should use the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi to study and practise this chapter thoroughly. Numerous exercises and a practise set can be found in the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi.

To clear their doubts on Class 10 Maths Chapter 1, students can consult NCERT Solutions for Class 10 Maths Chapter 1 in Hindi.The NCERT Solutions For Class 10 Maths Chapter 1 In Hindi are one of the best learning materials and also help students to understand the chapter deeply. Moreover, after solving the practise question, students can match their answers with those from NCERT Solutions For Class 10 Maths Chapter 1 In Hindi.

Students usually forget to check their answers twice before submitting them. It results in a number of absurd mistakes and point reductions. The simplest approach to avoid this is for students to thoroughly go over and double-check each solution on their response papers before submitting them. In order to confirm the accuracy of the calculations, they should also record them on the draught worksheet.

A student’s Class 10 board exam results will greatly impact the subjects they choose for the next semester. Students can achieve high marks on the final exam by doing well in Class 10 Mathematics. Using the NCERT Solutions for Class 10 Maths Chapter 1 in Hindi, they can achieve the highest possible grade in Class 10 mathematics.

The performance of students on the important mathematics questions for the Class 10 exam will heavily influence their final board exam.Students can clear their doubts by consulting the academic team’s NCERT Solutions for Class 10 Maths Chapter 1 in Hindi.Important questions for class 10 mathematics are included in NCERT Solutions For Class 10 Maths Chapter 1 In Hindi, along with in-depth solutions. To perform well in Class 10 Mathematics, students must conscientiously practise the concepts covered in the CBSE Class 10 Mathematics Syllabus. The course outline and percentages of the various units are all detailed in the CBSE 10th Mathematics Syllabus. Keep the NCERT Class 10 Mathematics Syllabus convenient as students begin their preparation.

The Mathematics curriculum has changed to consider the subject’s advancement and the shifting demands of society. The secondary school curriculum aims to increase student’s proficiency in mathematics so they can tackleproblems and study the field. The ability to use simple trigonometry to solve height and distance problems and problems using algebra should be a requirement for students. At this stage, learning mathematics involves:

- Performing operations on numbers and geometric shapes.
- Formulating theories.

The proposed course of study includes coursework in coordinate geometry, statistics, algebra, geometry, and trigonometry.

Students can study for the exams by downloading the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. However, students can access the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi on the Extramarks website and mobile application.

**NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers in Hindi PDF Download **

Students of Class 10 can easily get the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi for their practice. Those students who solve the practise exercise can also match their answers with the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. Students can also download the PDF version of NCERT Solutions For Class 10 Maths Chapter 1 In Hindi to do the practise offline. Chapter 1 is very important in Class 10. If students want to score good marks in Mathematics Chapter 1, they should practise with NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. The NCERT Solutions For Class 10 Maths Chapter 1 In Hindi also help students to solve their doubts and concepts

Real numbers are a crucial component of mathematics, and they are worth six points on the Class 10 (Unit – Number Systems) Mathematical Board Exams. The average number of questions in this chapter is three. Real numbers are introduced in Class 9. Real numbers are covered in greater detail in Class 10.

NCERT Solutions for Class 10 Mathematics, Chapter 1, Real Numbers has the answers to the questions in this chapter. In this chapter, real numbers and their applications are discussed. Any positive integer a can be divided by another positive integer b using Euclid’s formula for division, and the outcome will always be a smaller positive integer than b.

Real numbers are introduced in section 1.1 of this chapter, followed by sections 1.2 and 1.3 on two crucial subjects. Theorem 1.1, also known as Euclid’s Division Lemma, is the basis for five questions in Euclid’s Division Algorithm.

The Fundamental Theorem of Arithmetic: Through solutions to the seven problems in Exercise 1.2, explore the applications of this topic, which discusses the multiplication of positive integers.

The following subjects are then covered, which were first covered in Class 9.

Using the subject from the previous Exercise 1.2, the solutions to the three problems in Exercise 1.3, “Revisiting Rational & Irrational Numbers,” are provided.

The word algorithm is derived from the name of the Persian Mathematician al-Khwarizmi, who lived in the ninth century. He claimed that a book by the name of Hisab al-jabr w’al-muqabala is where the word “algebra” originated. Before it was known as the Fundamental Theorem of Arithmetic, an equivalent version of it was most likely first written down as Proposition 14 of Book IX in Euclid’s Elements. However, Carl Friedrich Gauss provided the first reliable evidence in his al-Khwarizmi. Along with Archimedes and Newton, Carl Friedrich Gauss is regarded as one of the three most powerful mathematicians of all time and is frequently referred to as the “Prince of Mathematicians.”

Decimal Expansions-It investigates when a rational number’s decimal expansion terminates and when it recurs. In Exercise 1.4, there are three problems with sub-parts.

Students can also use the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi to further their understanding of the chapter. To get the best exam results, students must fully comprehend Chapter 1 of Class 10. NCERT Solutions For Class 10 Maths Chapter 1 In Hindi can assist students in understanding the exercises and preparing for the tests. Additionally, students can check their answers using the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi.

NCERT Solutions For Class 10 Maths Chapter 1 In Hindi are available for download as PDF files for Class 10 Mathematics students who are interested. Therefore, using the Extramarks website and mobile application’s NCERT Solutions For Class 10 Maths Chapter 1 In Hindi for student studies is a dependable and trustworthy study resource.

Chapter 1 of Class 10 is difficult, which causes some students to struggle with the practise questions. The NCERT books Chapter 1 exercise is very good. Students can use NCERT Solutions For Class 10 Maths Chapter 1 In Hindi to help them with the assignment. On the website and mobile app of Extramarks, live sessions allow students to ask questions about the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi in real-time.

The NCERT Solutions For Class 10 Maths Chapter 1 In Hindi inspire students to have confidence in themselves as they prepare for their final exams. Students can finish the Mathematics exercise quickly and evaluate how well they answered the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. Students in Class 10 can also understand how to answer Mathematics questions correctly with the help of the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi.

**Access NCERT Solutions for Class 10 Maths Chapter 1 – वास्तविक संख्याएँ**

Real Numbers, a crucial chapter in Mathematics covered in class 10, is the first chapter of the Mathematics textbook for Class 10. There are four main sections in the chapter on real numbers. The important subjects covered in the chapter on real numbers are listed below. For learning, using, and mastering this chapter and resolving problems involving real numbers, it is advised that students carefully read through these topics.

- Introduction to Real Numbers
- Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic (H.C.F. and L.C.M.)
- Revisiting Irrational Numbers

In Chapter 1’s introduction, Real Numbers and Irrational Numbers for Class 10, students will be reminded of their understanding of real and irrational numbers from class nine. Students will learn more about positive numbers, including Euclid’s division algorithm and the fundamental theorem of arithmetic, in the sections of Chapter 1 of Mathematics Class 10 that follow. The Fundamental Theorem of Arithmetic is based on the idea that a composite number can be represented in a variety of ways as the result of a product of prime integers. This theorem has numerous and significant mathematical applications.

In the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi, students will discover Euclid’s division lemma and algorithm. A lemma is a statement that has been proven and serves as a foundation for the proof of other statements. The usual division system in mathematics is stated formally by Euclid’s Division Lemma, which states that for every positive pair of numbers, x and y, there are two distinct whole numbers, a, and b, that satisfy the equation.

The NCERT textbook has many exercises and problems for students to finish. Practice with materials like the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi can help students perform better on exams. Students who require assistance with Chapter 1 can access the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. Students can quickly download and work out the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi from the Extramarks website and mobile application.

There is one more theorem, “The Fundamental Theorem of Arithmetic”. This theorem states that every composite number can be broken down into its component prime numbers. Given that the factors’ order is irrelevant, it is a special prime natural number factorization case. By using the following fundamentals as a foundation, we can better comprehend this by way of an example:

- The largest integer that can precisely divide the given integers is the HCF, or highest common factor, of two or more integers.
- The smallest number that can be divided by the given numbers is the Least Common Multiple (LCM) of two or more integers.
- HCF(a,b) * LCM (a, b) = a * b for two positive integers a and b

Numerous practise and problem-solving exercises are provided in the NCERT textbook. Students can improve their exam performance by practising with the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. The NCERT Solutions For Class 10 Maths Chapter 1 In Hindi can be used by students who are having trouble with Chapter 1. On the Extramarks website and mobile application, students can quickly find the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi and work out their answers.

Real numbers include both irrational and rational numbers. In contrast to root overs, pi (22/7), and other irrational numbers, which are not rational, rational numbers include integers, decimals, and fractions. Simply put, a real number is any number that is not an imaginary number.

Real numbers are crucial because they are used in almost every aspect of mathematics and daily life. We advise students to make the most of the emphasis on real numbers in this chapter in order to strengthen their number sense and successfully solve all real-numbers-based exam problems.

**NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers in Hindi**

The introduction to real numbers is the first section of the Class 10 Mathematics NCERT Solutions. The essential real number concepts are all covered in this chapter. Rational and irrational numbers are two categories within the real number system. Real numbers, which may be positive or negative, are commonly denoted by the letter “R”.

Class 10 Chapter 1 is challenging, and some students are unsure how to answer the question papers. The NCERT books contain a good practise paper for Chapter 1. Furthermore, students can use the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi to assist them in completing the exercise. Students can ask questions about the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi during live sessions on Extramarks’ website.

The resources needed to perform better on board exams are available on the Extramarks website and mobile application. In addition, they should frequently consult NCERT Solutions For Class 10 Maths Chapter 1 In Hindi as they study for the Mathematics exams. Students can better understand the material in the chapter by practising the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. These solutions are created by highly qualified teachers using the most recent CBSE syllabus.

NCERT Solutions are offered chapter-by-chapter all over the internet to help students develop a thorough understanding. Experts in Mathematics develop NCERT Solutions For Class 10 Maths Chapter 1 In Hindi with each candidate’s understanding capacity. Every concept has a solid foundation thanks to the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi. These NCERT Solutions For Class 10 Maths Chapter 1 In Hindi ensure that all the concepts, even the more complex ones covered in the textbook, are easily understood. On the official website of Extramarks, students can quickly download the NCERT Solutions for Class 10 Maths Chapter 1 in Hindi.

Textbooks for all grades and disciplines are written and distributed by NCERT. The NCERT textbooks’ coverage of all subjects is accepted by the Central Board of Secondary Education (CBSE) and many state boards. Additionally, Extramarks offers free NCERT solutions in both Hindi and English for all subjects. Students of all classes can benefit from these NCERT Solutions in Hindi that were created by subject matter experts.

To give students access to a top-notch education, Extramarks live class programme mixes conventional and contemporary teaching techniques. Live classes and interactive question-and-answer sessions can help students succeed since they are straightforward and user-friendly.

It takes a lot of revision and practise to keep up with the extensive topics covered in Class 10. Additionally, students occasionally find it difficult to solve exercise problems. Extramarks provides various study resources, such as NCERT solutions, PDF notes, and other materials, to help students prepare each chapter in-depth for the test.

##### FAQs (Frequently Asked Questions)

## 1. How significant are the important Mathematics questions for class 10?

Class 10 Mathematics important questions offer step-by-step study techniques for acing the test. Since the Class 10 Board Exam is one of the first and most crucial steps in developing a career, there are various questions students can develop to prepare for their subject. It aims to give students a conceptual understanding of the questions and help them perform better on the test.

## 2. How many chapters are available in Class 10 Mathematics?

There are 15 chapters of Class 10 Mathematics, which are mentioned here:

- Real Numbers
- Polynomials
- Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Coordinate Geometry
- Introduction to Trigonometry
- Some Applications of Trigonometry
- Circles
- Constructions
- Areas Related to Circles
- Surface Areas and Volume
- Statistics
- Probability

## 3. How to get good marks in your studies for Class 10 Mathematics?

It is very important to make a study plan to have good Mathematics marks. Mathematics subject demands a lot of practice, and students can easily use the NCERT Solutions for Class 10 Maths Chapter 1 In Hindi to solve their doubts. Students also visit Extramarks website to get the best learning material. The only key to getting the best marks in Mathematics exams is practice and more practice. It is also very important to learn the formulas and practice them regularly.

## 4. What main topics are covered in NCERT Solutions for Class 10 Maths Chapter 1 In Hindi?

The following main topics are covered in the NCERT Solutions for Class 10 Maths Chapter 1 In Hindi:

- The division algorithm of Euclid.
- Arithmetic’s fundamental theorem.
- Reviewing rational and irrational numbers, as well as decimal expansions.

Extramarks experts successfully created solutions based on these ideas. Students prioritising these ideas will do well on class exams and the Class 10 board exam.

## 5. How many exercises are included in Chapter 1 of the NCERT Solutions For Class 10 Maths Chapter 1 In Hindi?

The NCERT Solutions For Class 10 Maths Chapter 1 In Hindi includes four exercises. Students can solve problems skilfully and effectively with the support of these NCERT Solutions For Class 10 Maths Chapter 1 In Hindi solutions. They also put a lot of effort into making the Mathematics problems simple enough for the students to understand them.

## 6. In terms of the exam, how important are NCERT Solutions For Class 10 Maths Chapter 1 In Hindi?

NCERT Solutions For Class 10 Maths Chapter 1 In Hindi, the first chapter is significant in terms of exams. It includes short and long answer questions to enhance problem-solving skills. Extramarks expert faculty produce these solutions to support students in their exam preparation.

## 7. What are the benefits of using Extramarks NCERT Solutions for Class 10 Maths Chapter 1 in Hindi?

The NCERT Solutions for Class 10 Maths Chapter 1 in Hindi are available on the Extramarks website and mobile app, which are incredibly trustworthy and authentic sources. The NCERT Solutions for Class 10 Maths Chapter 1 in Hindi were created by qualified Mathematics teachers, who maintain it to reflect curriculum changes.

## 8. Where can learners find NCERT Solutions for Class 10 Maths Chapter 1 in Hindi?

On the Extramarks website and mobile application, students of Class 10 can access the NCERT Solutions for Class 10 Maths Chapter 1 in Hindi in PDF format. A straightforward and A simple-to-understand format is available for the NCERT Solutions for Class 10 Maths Chapter 1 in Hindi. Mathematics experts prepare the NCERT Solutions for Class 10 Maths Chapter 1 in Hindi. Students can also prepare for their final exams with the help of NCERT Solutions for Class 10 Maths Chapter 1 in Hindi.