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CBSE Class 10 Maths Foundation
·
Module 1
Foundations of Real Numbers
1
Classifying Numbers
Classify numbers as natural, whole, integer, rational, or irrational with examples.
2
Understanding HCF: Listing Common Factors
Define Highest Common Factor (HCF) and find it by listing common factors for small numbers.
3
HCF by Euclid's Division Lemma
Apply Euclid's division lemma to find the HCF of two positive integers.
4
Prime Factorization: The Fundamental Theorem of Arithmetic
State and apply the Fundamental Theorem of Arithmetic to express a number as a product of primes.
5
Prime Factorization: HCF and LCM
Find HCF and LCM of given numbers using prime factorization.
6
Proving Irrationality: A Contradiction Approach
Prove the irrationality of numbers such as √2, √3, and √5 using contradiction.
7
Terminating and Repeating Decimals
Determine whether a given rational number has a terminating or non-terminating repeating decimal expansion.
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