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Real Numbers
Mathematics · CBSE Class 10 · English Medium · 20 questions and answers
Sample questions
- Q: State the Fundamental Theorem of Arithmetic.
- A: Every composite number can be written as a product of primes, and this factorisation is unique except for the order of the prime factors.
- Q: What is the HCF of two numbers in terms of their prime factorisation?
- A: The product of the smallest power of each common prime factor of the numbers.
- Q: What is the LCM of two numbers in terms of their prime factorisation?
- A: The product of the greatest power of each prime factor that appears in either number.
- Q: State the Fundamental Theorem of Arithmetic.
- A: Every composite number can be expressed (factorised) as a product of prime numbers, and this factorisation is unique, apart from the order in which the prime factors occur.
- Q: Is the product of a non-zero rational number and an irrational number rational or irrational?
- A: It is always irrational.
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