
The Real Numbers chapter introduces fundamental concepts related to number systems, divisibility, and prime factorisation. It helps you understand how numbers are aligned and how they behave under different mathematical operations. This chapter includes important ideas such as Euclid’s Division Lemma, HCF and LCM, and the Fundamental Theorem of Arithmetic.
These concepts are essential for building a strong base in Class 10 Maths. A clear understanding of Real Numbers improves your problem-solving skills and helps you apply logical methods to solve questions. It is an important chapter that supports many advanced topics in mathematics and board exam preparation.
The following are the main concepts you will study in this chapter:
Understand basic concepts of real numbers and their properties
Learn Euclid’s Division Algorithm to find HCF
Know the relationship between HCF and LCM
Study the Fundamental Theorem of Arithmetic
Learn prime factorisation of numbers
Understand decimal expansion of rational numbers (terminating & non-terminating)
Knowing the CBSE class 10th Maths syllabus makes preparation more focused. The following topics give a complete overview of the Real Numbers chapter.
|
Topic |
Description |
|
Euclid’s Division Lemma |
Relationship between dividend, divisor, quotient, and remainder |
|
Euclid’s Division Algorithm |
Method to find the HCF of two numbers |
|
Fundamental Theorem of Arithmetic |
Expressing numbers as the product of prime factors |
|
HCF and LCM |
Finding the highest common factor and the least common multiple |
|
Decimal Expansion of Rational Numbers |
Terminating and non-terminating decimals |
During revision, it is important to focus on high-weightage concepts. The following topics from the Real Numbers chapter are important for exams.
Euclid’s Division Algorithm
Fundamental Theorem of Arithmetic
HCF and LCM
Decimal expansion of rational numbers
To ensure alignment with the latest CBSE guidelines and optimise your preparation, it is recommended to review the updated list of deleted topics for Class 10 Maths and focus only on the currently prescribed syllabus.
Strong preparation in Class 10 Maths requires a balance of concept clarity, regular practice, and consistent revision. Focusing on the right resources and practising in an exam-oriented manner can help improve both accuracy and confidence.
Build clear concepts across all topics:
Focus on understanding key concepts from the CBSE Class 10 Maths syllabus to solve different types of questions with confidence.
Practise NCERT questions thoroughly:
Solve all Class 10 Maths NCERT questions multiple times, as they form the base of board exam preparation.
Revise formulas and identities regularly:
Keep revising important formulas in Class 10 Maths to improve speed and reduce calculation errors.
Solve Previous Year Questions (PYQs):
Practising CBSE Class 10 Maths PYQs helps you understand exam patterns and frequently asked questions.
Attempt sample papers consistently:
Solve Class 10 Maths sample papers to improve time management and get familiar with the exam format.
Focus on important questions:
Practise Class 10 Maths Most Important Questions (MIQs) to cover high-weightage topics effectively.