RS Aggarwal Class 10 Solutions Chapter 1 - Real Numbers (Ex 1A) Exercise 1.1 - Free PDF
FAQs on RS Aggarwal Class 10 Solutions Chapter 1 - Real Numbers (Ex 1A) Exercise 1.1
1. What are the main topics covered in RS Aggarwal Class 10 Maths Chapter 1?
Chapter 1, Real Numbers, primarily covers key concepts from the CBSE syllabus including Euclid’s Division Lemma, the Fundamental Theorem of Arithmetic, methods for finding HCF and LCM, and techniques for proving the irrationality of numbers. Exercise 1.1 specifically focuses on applying Euclid's algorithm to find the HCF of two integers.
2. How do Vedantu's RS Aggarwal Solutions for Chapter 1, Ex 1.1 help in understanding the correct method?
Our solutions for Ex 1.1 provide a detailed, step-by-step method for finding the HCF using Euclid's Division Algorithm. Each step is clearly explained as per the 2025-26 CBSE guidelines, ensuring you understand the logic behind the a = bq + r formula and how to apply it correctly to earn full marks in exams.
3. Why are the RS Aggarwal Class 10 Solutions for Chapter 1 considered important for board exam preparation?
These solutions are crucial because they bridge the gap between textbook theory and exam application. They help students to:
- Master the correct, step-wise format for writing answers, which is essential for scoring well.
- Practise a wide variety of questions based on the latest CBSE syllabus.
- Build confidence by solving problems that are similar in difficulty to those asked in board exams.
4. What is the core mathematical concept required to solve the problems in RS Aggarwal Class 10 Chapter 1, Exercise 1.1?
The single most important concept for Exercise 1.1 is Euclid's Division Algorithm. It is a practical application of Euclid's Division Lemma, which states that for any two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that a = bq + r, where 0 ≤ r < b. The entire exercise is based on using this algorithm repeatedly to find the Highest Common Factor (HCF).
5. What is a common mistake students make when using Euclid's algorithm in Ex 1.1, and how can these solutions help prevent it?
A very common error is incorrectly identifying the new dividend and divisor in subsequent steps. Students often get confused about which number becomes 'a' and which becomes 'b' after the first step. Our solutions clearly show how the divisor from the previous step becomes the dividend in the next step, and the remainder becomes the new divisor. Following this structured approach helps eliminate confusion and ensures accuracy.
6. Why is it important to write every step of Euclid's Division Algorithm, even if the HCF seems obvious?
In CBSE board exams, marks are often allocated for the methodology and steps demonstrated, not just the final answer. Writing down each step of the algorithm (e.g., 225 = 135 x 1 + 90, then 135 = 90 x 1 + 45) proves your understanding of the process. Skipping steps can lead to a loss of marks, even if your final HCF is correct. Our solutions model this complete, step-wise approach essential for exams.
7. How does mastering the concepts in Exercise 1.1 connect to other topics in the Real Numbers chapter?
Mastering Euclid's Algorithm for finding the HCF is foundational. It builds a strong understanding of number properties, which is crucial for the next major topic: the Fundamental Theorem of Arithmetic. This theorem, which deals with prime factorisation, is used to find both HCF and LCM for more complex problems. A solid grasp of Ex 1.1 makes it easier to understand these advanced applications later in the chapter.
