NCERT Solutions for Class 10 Maths Chapter 1

NCERT Grade 10 Mathematics Chapter 1, Real Numbers continues the discussion of the topic from Grade 9. The chapter begins with two very important properties of positive integers in Sections 1.2 and 1.3, namely Euclid’s division algorithm and the Fundamental Theorem of Arithmetic. Section 1.4 discusses Revisiting Irrational Numbers whereas Section 1.5 focuses on Revisiting Rational Numbers and Their Decimal Expansions. Euclid’s division algorithm, as the name suggests, has to do with divisibility of integers. It has many applications related to the divisibility properties of integers. NCERT Grade 10 Mathematics Chapter 1, Real Numbers, we touch upon a few of them, and use it mainly to compute the HCF of two positive integers. 

The Fundamental Theorem of Arithmetic, on the other hand, has to do something with the multiplication of positive integers. Students already know that every composite number can be expressed as a product of primes in a unique way—this important fact is the Fundamental Theorem of Arithmetic. It too has some very deep and significant applications in the field of mathematics that shall be learned through this chapter. Intermittent exercises given at the end of every topic, solved and unsolved examples, summary and challenging problems make this chapter very interesting and fun to learn. Similarly, the chapter includes a contribution by different mathematicians and Theorems that will prove to aid the solving of problems in this chapter. The chapter holds a total weightage of  6 marks in the final examination.

Get 100 percent accurate NCERT Solutions for Class 10 Maths Chapter 1 (Real Number) solved by expert Maths teachers. We provide step by step solutions for the questions given in class 10 maths textbook as per CBSE Board guidelines from the latest NCERT book for class 10 maths.

The topics and sub-topics in Chapter 1 Real Number are Given Below

Ex 1.1 - Introduction,

Ex 1.2 - Euclid's Division Lemma,

Ex 1.3 - The Fundamental Theorem of Arithmetic,

Ex 1.4 - Revisiting Irrational Numbers,

Ex 1.5 - Revisiting Rational Numbers and Their Decimal Expansions and

Ex 1.6 - Summary.

We cover all exercises in the chapter given below:-

EXERCISE 1.1 - 5 Questions with Solutions in PDF

EXERCISE 1.2 - 7 Questions with Solutions in PDF

EXERCISE 1.3 - 3 Questions with Solutions in PDF

EXERCISE 1.4 - 3 Questions with Solutions in PDF

Other than given exercises, you should also practice all the solved examples given in the book to clear your concepts on Real Number. Download the free PDF of Chapter 1 Real Number and take the print out to keep it handy for your exam preparation.