Real Numbers
Gujarat Board · Class 10 · Mathematics
Quick revision notes for Real Numbers — Gujarat Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
The Fundamental Theorem of Arithmetic
- Every composite number can be expressed as a product of primes in a unique way (except for the order of factors)
- This theorem is the foundation for understanding prime factorization
- The uniqueness of prime factorization means there is only one way to write a composite number as a product of primes
Applications of Fundamental Theorem of Arithmetic
- Finding HCF: Product of lowest powers of common prime factors
- Finding LCM: Product of highest powers of all prime factors
- Determining whether a fraction is terminating or non-terminating
Revisiting Irrational Numbers
- Irrational numbers cannot be expressed in the form p/q where p, q are integers and q ≠ 0
- √p is irrational if p is a prime number
- Proof technique: Contradiction method is used
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Real Numbers covers several key topics that are frequently asked in Gujarat Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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