Read and download the Chapter 1 Real Numbers PDF from the official NCERT Book for Class 10 Mathematics. Updated for the 2025-26 academic session, you can access the complete Mathematics textbook in PDF format for free.
NCERT Class 10 Mathematics Chapter 1 Real Numbers Digital Edition
For Class 10 Mathematics, this chapter in NCERT Book Class 10 Maths Real Numbers Questions provides a detailed overview of important concepts. We highly recommend using this text alongside the NCERT Solutions for Class 10 Mathematics to learn the exercise questions provided at the end of the chapter.
Chapter 1 Real Numbers NCERT Book Class Class 10 PDF (2025-26)
• Euclid’s Division Lemma : Given two positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.
• Euclid’s Division Algorithm to obtain the HCF of two positive integers, say c and d, c > d.
Step 1 : Apply Euclid’s division lemma to c and d, to find whole numbers q and r, such that c = dq + r, 0 ≤ r < d.
Step 2 : If r = 0, d is the HCF of c and d. If r ≠ 0, apply the division lemma to d and r.
Step 3 : Continue the process till the remainder is zero. The divisor at this stage will be the required HCF.
• Fundamental Theorem of Arithmetic : Every composite number can be expressed as a product of primes, and this expression (factorisation) is unique, apart from the order in which the prime factors occur.
• Let p be a prime number. If p divides a2, then p divides a, where a is a positive integer.
• √2 , √3 , √5 are irrational numbers.
• The sum or difference of a rational and an irrational number is irrational.
• The product are quotient of a non-zero rational number and an irrational number is irrational. • For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
Please refer to attached file for NCERT Class 10 Maths Real Numbers Questions
| NCERT Book Class 10 Maths Real Numbers |
| NCERT Book Class 10 Maths Real Numbers Questions |
| NCERT Book Class 10 Maths Polynomials |
| NCERT Book Class 10 Maths Polynomials Questions |
| CBSE Book Class 10 Maths Linear Equations |
| NCERT Book Class 10 Maths Pair Of Linear Equations |
| NCERT Book Class 10 Maths Pair Of Linear Equations Questions |
| NCERT Book Class 10 Maths Quadratic Equations |
| NCERT Book Class 10 Maths Quadratic Equations Questions |
| CBSE Book Class 10 Maths Arithmetic Progressions |
| NCERT Book Class 10 Maths Arithmetic Progressions |
| NCERT Book Class 10 Maths Arithmetic Progressions Questions |
| CBSE Book Class 10 Maths Similar Triangles |
| NCERT Book Class 10 Maths Triangles |
| NCERT Book Class 10 Maths Triangles Questions |
| CBSE Book Class 10 Maths Coordinate Geometry |
| NCERT Book Class 10 Maths Coordinate Geometry |
| NCERT Book Class 10 Maths Coordinate Geometry Questions |
| NCERT Book Class 10 Maths Introduction To Trigonometry |
| NCERT Book Class 10 Maths Introduction To Trigonometry Questions |
| NCERT Book Class 10 Maths Some Applications Of Trigonometry |
| NCERT Book Class 10 Maths Areas Related To Circles |
| NCERT Book Class 10 Maths Areas Related To Circles Questions |
| NCERT Book Class 10 Maths Surface Areas And Volumes |
| NCERT Book Class 10 Maths Surface Areas And Volumes Questions |
| NCERT Book Class 10 Maths Statistics |
| NCERT Book Class 10 Maths Statistics Questions |
| CBSE Book Class 10 Maths Probability |
| NCERT Book Class 10 Maths Probability |
| NCERT Book Class 10 Maths Answers and Solutions |
| NCERT Book Class 10 Maths Proofs In Mathematics |
| NCERT Book Class 10 Maths Mathematical Modelling |
| NCERT Book Class 10 Maths Constructions |
| NCERT Book Class 10 Maths Constructions Questions |
Important Practice Resources for Class 10 Mathematics
NCERT Book Class 10 Mathematics Chapter 1 Real Numbers
Download the official NCERT Textbook for Class 10 Mathematics Chapter 1 Real Numbers, updated for the latest academic session. These e-books are the main textbook used by major education boards across India. All teachers and subject experts recommend the Chapter 1 Real Numbers NCERT e-textbook because exam papers for Class 10 are strictly based on the syllabus specified in these books. You can download the complete chapter in PDF format from here.
Download Mathematics Class 10 NCERT eBooks in English
We have provided the complete collection of NCERT books in English Medium for all subjects in Class 10. These digital textbooks are very important for students who have English as their medium of studying. Each chapter, including Chapter 1 Real Numbers, contains detailed explanations and a detailed list of questions at the end of the chapter. Simply click the links above to get your free Mathematics textbook PDF and start studying today.
Benefits of using NCERT Class 10 Textbooks
The Class 10 Mathematics Chapter 1 Real Numbers book is designed to provide a strong conceptual understanding. Students should also access NCERT Solutions and revision notes on studiestoday.com to enhance their learning experience.
You can download the latest, teacher-verified PDF for NCERT Book Class 10 Maths Real Numbers Questions for free on StudiesToday.com. These digital editions are updated as per 2025-26 session and are optimized for mobile reading.
Yes, our collection of Class 10 Mathematics NCERT books follow the 2026 rationalization guidelines. All deleted chapters have been removed and has latest content for you to study.
Downloading chapter-wise PDFs for Class 10 Mathematics allows for faster access, saves storage space, and makes it easier to focus in 2026 on specific topics during revision.
NCERT books are the main source for NCERT exams. By reading NCERT Book Class 10 Maths Real Numbers Questions line-by-line and practicing its questions, students build strong understanding to get full marks in Mathematics.