Sri Siddaganga Higher Primary School beginner

Class 10 CBSE — Mathematics — Algebra & Number Systems + 5 more topics

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Course Syllabus

  1. Mathematics: Algebra & Number Systems
  2. Science: Physics (Light & Electricity)
  3. Science: Biology (Life Processes & Control)
  4. Mathematics: Geometry & Trigonometry
  5. Social Science: History & Political Science
  6. Social Science: Geography & Economics

Study Notes

Mathematics: Algebra & Number Systems

Key Concept: The Fundamental Theorem of Arithmetic
Every composite number can be expressed (factorised) as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur. You use this for finding HCF and LCM.
* HCF (Highest Common Factor): The largest number that divides two or more numbers exactly. Found by taking the smallest power of each common prime factor.
* LCM (Lowest Common Multiple): The smallest number that is a multiple of two or more numbers. Found by taking the highest power of all prime factors involved.
* Relationship: For any two positive integers a and b, HCF(a, b) $\times$ LCM(a, b) = a $\times$ b.

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