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  Class 10 CBSE Maths - Chapter 1: Real Numbers 🔹 1.1 Introduction The chapter builds on your understanding of natural numbers, whole numbers, integers, rational and irrational numbers, and introduces: Euclid's Division Lemma Fundamental Theorem of Arithmetic Properties of rational and irrational numbers Decimal expansions of real numbers 🔹 1.2 Euclid’s Division Lemma Concept: For two positive integers a and b, there exist unique integers q and r such that: a = b q + r , 0 ≤ r < b a = bq + r,\quad 0 \leq r < b Used to find the HCF (Highest Common Factor) of two numbers. 📄 Exercise 1.1 Solutions Q1. Use Euclid's division algorithm to find the HCF of: (i) 135 and 225: 225 = 135 × 1 + 90 135 = 90 × 1 + 45 90 = 45 × 2 + 0 HCF = 45 (ii) 196 and 38220: 38220 = 196 × 195 + 0 HCF = 196 (iii) 867 and 255: 867 = 255 × 3 + 102 255 = 102 × 2 + 51 102 = 51 × 2 + 0 HCF = 51 Q2. Show that any positive odd integer is of the f...

  Class 10 Maths NCERT Solutions Chapter 1 Real Numbers Class 10 Maths NCERT Solutions Chapter 1 Real Numbers Access Class 10 Maths NCERT Solutions for Chapter 1: Real Numbers here. These solutions offer detailed answers to all questions from the NCERT textbook, as prescribed for Class 10 by CBSE schools. Resource: National Council of Educational Research and Training (NCERT) Solutions Class: 10th Class Subject: Maths Chapter: Chapter 1 –  Real Numbers No of Exercises – 4 (Contains 17 Questions) Class 10 Real Numbers Ex 1.1 – 4 Questions Based on Euclid’s division lemma Class 10 Real Numbers Ex 1.2 – 7 Questions Based on Fundamental Theorem of Arithmetic, LCM and HCF Class 10 Real Numbers Ex 1.3 – 3 Questions Based on Rational and Irrational Numbers Class 10 Real Numbers Ex 1.4 – 3 Questions Based in which you have to expand fractions into decimals and write decimals in their fraction form. Real Numbers Class 10 Ex 1.1 Question 1 Use Euclid’s division algorithm to fi...