Real Numbers Class 10 In Telugu | Haripriya Mam @VedantuTelugu8910
Vedantu Telugu 8,9 & 10・2 minutes read
The session covers important topics like division, the fundamental theorem of arithmetic, and rational numbers, emphasizing unique prime factorization and decimal expansions of rational numbers. Practical exercises include finding HCF and LCM, understanding co-prime numbers, and distinguishing between terminating and non-terminating decimals based on factors in the denominator.
Insights
- The fundamental theorem of arithmetic asserts that every positive integer has a unique prime factorization, allowing for the factorization of composite numbers into primes regardless of their order.
- Understanding the application of the theorem extends to practical scenarios like calculating the HCF and LCM of numbers, where the LCM involves listing prime factors with the highest powers while the HCF requires listing common prime factors with the least powers.
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Recent questions
What is the fundamental theorem of arithmetic?
Every positive integer has a unique prime factorization.
How are HCF and LCM calculated?
HCF involves common prime factors, LCM takes highest powers.
What are co-prime numbers?
Numbers with HCF of 1 and unique prime factorization.
How are rational numbers distinguished by decimal expansion?
Terminating decimals have factors of 2 and 5.
How are irrational numbers identified?
Through contradiction in assuming rationality.
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