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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.

45 questions21 flashcards5 concepts

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Key Topics to Revise

1

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
2

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
3

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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Full Notes

Key Concepts

Every composite number can be expressedThe process of expressing a compositeNumbers that cannot be expressedA mathematical technique where we assumeIf a prime p divides a²

Frequently Asked Questions

What are the important topics in Real Numbers for Gujarat Board Class 10 Mathematics?
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.
How to score full marks in Real Numbers — Gujarat Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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