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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers - PDF Download

JEE Mains & Advanced

NCERT solutions for class 10 maths chapter 1 Real Numbers includes fundamental concepts related to real numbers like Euclid's division lemma, prime numbers, composite numbers, fundamental theorem of arithmetic, HCF, LCM by prime factorization method, and irrational numbers. Real numbers are a combination of irrational and rational numbers. Real numbers are represented by the sign “R” and can be positive or negative. NCERT solutions for class 10 maths chapter 1 will help you with all the real numbers related concepts. You will also learn important facts, such as how the fundamental theorem of arithmetic can be used to show that many numbers are irrational and when exactly a rational number’s decimal expansion terminates and when it is non terminates. Here you will find NCERT solutions for class 10 maths chapter 1 Real Numbers prepared by our professional faculty of maths to assist students in preparing for the board exam. 

eSaral’s mathematics team experts come up with solutions and give NCERT solutions for maths to help the students easily solve the problems. They also make sure that the solutions are prepared in a way that the students can understand. Each question posed in the exercises of the NCERT solution is accompanied by a comprehensive and sequential explanation. Download NCERT solutions for class 10 math chapter 1 free  PDF from eSaral official website. Save these solutions on your device so that you can access them offline.

Important Topics covered in Chapter 1 - Real Numbers

NCERT solutions for class 10 maths chapter 1 is about real numbers and its properties. Here are some important topics of this chapter:

1.1 Introduction

1.2 The Fundamental Theorem of Arithmetic

1.3 Revisiting Irrational Numbers

1.1 Introduction - This section provides an idea of what positive numbers would look like in class 10 maths chapter 1, i.e. Euclid's division algorithm, and the basic theorem of arithmetic. The fundamental theorem of arithmetic states that the product of prime numbers can be represented as a composite number in different ways. This fundamental theorem has profound and important mathematical applications.

1.2 The Fundamental Theorem of Arithmetic - This theorem states that all composite numbers can be factored as the product of certain prime numbers. This is a special case of natural numbers that can be factored in any order. 

1.3 Revisiting Irrational Numbers - In this part of NCERT solutions for class 10th maths chapter 1, you’ll recall the definition of irrational numbers taught in previous classes and then you’ll prove that p is irrational where p is prime.

NCERT Solutions for Class 10 Maths Chapter 1 Exercises

 NCERT Solutions class 10 maths chapter 1 Real Numbers has an exercise-based analysis Below:

Exercise 1.1

7 Questions & Solutions

Exercise 1.2

3 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 10 Maths Chapter 1 - Real Numbers

In order to assist students in their educational endeavors NCERT solutions developed by eSaral, has provided detailed guidance for class 10 maths chapter 1 Real Numbers. Here, we will examine the benefits of downloading and using these solutions.

  1. NCERT Solutions provided by our subject experts on eSaral, has an explanation for each problem step by step, making sure that students are well-versed in the fundamental concepts. This level of clarity is essential for building a solid math foundation.

  2. NCERT solutions for  class 10 maths chapter 1 can also be downloaded in PDF format, which makes the revision process very fast and hassle-free during exam time.

  3. You will find that the NCERT solutions for class 10 maths chapter 1 are written in an easy-to-understand manner.

  4. NCERT solutions offer a variety of practice problems and exercises with varying difficulty levels. This allows students to revise and re-learn concepts multiple times.

Frequently Asked Questions

Question 1. What are the key topics covered in NCERT solution class 10 maths chapter 1?

Answer 1. Euclid's division lemma,  the fundamental theorem of arithmetic, and revisiting irrational numbers are some important topics that are included in NCERT solutions class 10 maths chapter 1. Students can practice questions relevant to these topics to gain a comprehensive understanding of concepts.

Question 2. Why should I study NCERT solution class 10 maths chapter 1 Real Numbers?

Answer 2. Practice can do wonders. With the help of NCERT solutions provided by eSaral, the students gain confidence and strengthen their mathematical skills. Rational numbers, Irrational numbers, HCF and LCM will help the students in their higher education. Therefore, for class 10 students, it is necessary to practice NCERT solutions for class 10 maths chapter 1 Real numbers.