Here you will get NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers. Our specialist faculties have created these solutions to assist students with their first-term exam preparations. They solve and provide NCERT Solutions for Maths to assist students in simply solving difficulties. They also put a lot of effort into making the solutions simple to understand for the pupils. They give a detailed, step-by-step explanation of each answer to the problems in the NCERT books’ exercises.

The first chapter of NCERT Class 10 Maths Solutions contains answers to the questions in Real Numbers. Students are introduced to a variety of fundamental concepts that will be beneficial to those who choose to study mathematics in Class 11. Students can prepare for their forthcoming first term using these NCERT solutions. These solutions are useful because they follow the CBSE Syllabus for 2021-22 per term.

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

Real numbers are an essential topic in math, with a weightage of 6 points in the first term exams for Class 10 (Unit – Number Systems). The typical number of questions from this chapter is three. In the prior year’s board examination, three questions from this chapter were asked (2018).

- Part A has one out of three questions (1 mark).
- Part B has one out of three questions (2 marks).
- Part C has one out of three questions (3 marks).

**This chapter discusses**

- The Division Algorithm of Euclid
- Arithmetic’s Fundamental Theorem
- Rational and Irrational Numbers: A Retrospective
- Expansions of Decimals

**Mathematical Exercises for Class 10 Chapter 1:**

Exercise 1.1: 5 Questions and Answers ( 4 long, 1 short)

Exercise 1.2: 7 Question and Answers ( 4 long, 3 short)

Exercise 1.3: 3 Questions and Answers ( 3 short)

Exercise 1.4: 3 Questions and Answers ( 3 short)

In Class 9, real numbers are introduced, and in Class 10, they are examined in greater depth. Chapter 1 NCERT Solutions for Class 10 Maths The answers to the questions posed in this chapter can be found in Real Numbers. Real numbers and their applications are discussed in this chapter. According to the divisibility of integers using Euclid’s division procedure, any positive integer a may be divided by another positive integer b with a remainder lower than b. The Fundamental Theorem of Arithmetic, on the other hand, is concerned with the multiplication of positive integers.

In section 1.1, the chapter begins with an introduction to real numbers, followed by two highly essential subjects in sections 1.2 and 1.3.

Theorem 1.1 – Euclid’s Division Lemma is the basis for 5 questions in Euclid’s Division Algorithm.

The Fundamental Theorem of Arithmetic — Solve the seven problems in Exercise 1.2 to learn about the applications of this topic, which is about the multiplication of positive integers.

The following concepts, which were introduced in Class 9, are then discussed.

Revisiting Rational and Irrational Numbers – This section contains solutions to three questions from Exercise 1.3 that also use the topic from Exercise 1.2.

Decimal Expansions — It investigates when a rational number’s decimal expansion is terminating and when it is recurring. In Exercise 1.4, there are a total of three problems with sub-parts.

**Key Features:**

- You can use these NCERT Solutions to solve and revise the updated CBSE Class 10 syllabus for 2021-22.
- You will be able to obtain higher grades after going through the step-by-step solutions provided by our subject specialist lecturers.

- It adheres to NCERT criteria, which aid in the proper preparation of pupils.
- From the standpoint of the examination, it comprises all of the key questions.
- It aids in getting good grades in math on exams.

**FAQ:**

**What are the main points addressed in Chapter 1 of the NCERT Solutions for Class 10 Maths?**

Euclid’s division algorithm, the fundamental theorem of arithmetic, revisiting rational and irrational numbers, and decimal expansions are the primary subjects covered in the NCERT Solutions for Class 10 Maths Real Numbers. Our professionals effectively built the solutions based on these notions. Students can achieve good grades in class examinations and the Class 10 first term exam by emphasizing these themes.

**In NCERT Solutions for Class 10 Maths Chapter 1, how many exercises are there?**

The NCERT Solutions for Class 10 Maths Real Numbers include four exercises. These NCERT Maths Class 10 Chapter 1 Solutions assist students in deftly and efficiently handling problems. They also concentrate on deciphering math solutions in a style that is simple for kids to comprehend.

**Is it vital to study NCERT Solutions for Class 10 Maths Chapter 1 for the exam?**

Yes, the first chapter of NCERT Solutions for Class 10: Real Numbers is crucial in terms of test preparation. It includes both short and lengthy answer questions to help you improve your problem-solving skills. These solutions were developed by INFINITY learn’s specialist faculty to aid students in their examination preparation.