NCERT solutions class 10 maths chapter 1 – Real Numbers are provided here. These solutions are prepared by our expert faculties to help students in their board exam preparations. These expert faculties solve and provide the NCERT solutions for maths so that it should help students to solve the problems easily. They also focus on preparing the solutions in such a way that it is easy to understand for the students. They provide a detailed and stepwise explanation of each answer to the questions given in the exercises in the NCERT book.

In NCERT solutions for Class 10 Maths – the First Chapter is Real numbers chapter, where students are introduced to a lot of important concepts which will be useful for those who wish to pursue mathematics as a subject in. their class 11. Based on these solutions, students can prepare for their upcoming Board Exams. These solutions are helpful as the syllabus covered here follows NCERT guidelines.

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## NCERT Solutions for class 10 Maths Chapter 1- Real Number

As this is one of the important topics in maths, It has a weightage of 6 marks in class 10 (Number system – Real Numbers) maths board exams. The average number of questions asked from this chapter is usually 3.

Three questions were asked from this chapter in the previous year board examination (2018).

- One out of three questions in part A (1 marks).
- One out of three questions in part B (2 marks).
- One out of three questions in part C (3 marks).

This chapter talks about

- Euclidâ€™s Division Algorithm
- The Fundamental Theorem of Arithmetic
- Revisiting Rational & Irrational Numbers
- Decimal Expansions

List of Exercises

Exercise 1.1 Solutions 5 Question ( 4 long, 1 short)

Exercise 1.2 Solutions 7 Question ( 4 long, 3 short)

Exercise 1.3 Solutions 3 Question ( 3 short)

Exercise 1.4 Solutions 3 Question ( 3 short)

## NCERT Solutions for class 10 Maths Chapter 1- Real Number

NCERT solutions for class 10 maths chapter 1 â€“ Real Numbers is the first chapter of class 10 Maths. Real Numbers is introduced in class 9 and this is discussed more in details in class 10. The chapter discusses the real numbers and their applications. The divisibility of integers using Euclidâ€™s division algorithm says that any positive integer a can be divided by another positive integer b such that the remainder will be smaller than b. On the other hand, The Fundamental Theorem of Arithmetic works on multiplication of positive integers.

The chapter starts with the introduction of real numbers in section 1.1 followed by two very important topics in section 1.2 and 1.3

- Euclidâ€™s Division Algorithm – It includes 5 questions based on Theorem 1.1 – Euclidâ€™s Division Lemma.
- The Fundamental Theorem of Arithmetic – Explore the applications of this topic which talks about the multiplication of positive integers, through solutions of the 7 problems in Exercise 1.2.

Next, it discusses the following topics which were introduced in class 9.

- Revisiting Rational & Irrational Numbers – In this the solutions for 3 problems in Exercise 1.3 is given which also use the topic in last Exercise 1.2.
- Decimal Expansions – It explores when the decimal expansion of a rational number is terminating and when it is recurring. It includes a total of 3 problems with subparts in Exercise 1.4

### Key Features of NCERT Solutions for class 10 Maths Chapter 1- Real Number

- These NCERT Solutions let you solve and revise the whole syllabus of class 10.
- After going through the stepwise solutions given by our subject expert teachers, you will be able to score more marks.
- It follows NCERT guidelines which help in preparing the students accordingly.
- It contains all the important questions from the examination point of view.
- It helps in scoring well in maths in exams.