Скачать или смотреть Class 10 Maths Ch-1 Real Numbers | Board Exam 2026 Important Questions

Chapter 1 “Real Numbers” includes the classification and key properties of numbers used in mathematics. A real number is any number that can be shown on the number line — including natural, whole, integers, rational and irrational numbers. This chapter focuses on understanding these numbers, how to factor and compare them, and applying them in problems involving HCF/LCM and proofs. �
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📌 Exam-Important Areas
Here are the major topics you must understand and revise:
1. Definition & Classification
What are real numbers (R)?
Difference between rational and irrational numbers
Representation of real numbers on a number line �
CBSE 360
2. Prime Factorization & Fundamental Theorem of Arithmetic
How to express numbers as product of prime factors
Understand that every composite number has a unique prime factorization (FToA) �
CBSE 360
3. HCF and LCM
Methods to find Highest Common Factor (HCF) and Lowest Common Multiple (LCM)
Using prime factorization and division methods
HCF × LCM relation with product of numbers �
CBSE 360
4. Euclid’s Division Algorithm
How to find HCF using Euclid’s Division Lemma (may be reduced in some updated syllabi, but good to know for boards) �
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5. Irrational Numbers & Proofs
Concept of irrational numbers
Standard proofs (e.g., √2, √5 or expressions like 3 + √5) showing irrationality �
CBSE 360 +1
6. Decimal Expansions
Terminating vs non-terminating repeating decimals
Converting rational numbers to decimals and vice-versa �
CBSE 360