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State Fundamental Theorem of Arithmet...

State Fundamental Theorem of Arithmetic.

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Theorem 1.2 (Fundamental Theorem of Arithmetic) : Every composite number can be expressed ( factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

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RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. Write down the decimal expansions of the following rational numbers...

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  2. What can you say about the prime factorisations of the denominators ...

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  3. State Fundamental Theorem of Arithmetic.

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  4. Write 98 as product of its prime factors.

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  5. Write the exponent of 2 in the prime factorization of 144.

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  6. Write the sum of the exponents of prime factors in the prime factor...

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  7. If the product of two numbers is 1080 and their HCF is 30, find the...

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  8. Write the condition to be satisfied by q so that a rational numb...

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  9. Write the condition to be satisfied by q so that a rational numb...

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  10. Complete the missing entries in the following factor tree. (FIGURE)

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  11. The decimal expansion of the rational number (43)/(2^4xx5^3) will t...

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  12. Has the rational number (441)/(2^2xx5^7xx7^2) a terminating or a no...

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  13. Write whether (2sqrt(45)+3sqrt(20))/(2sqrt(5)) on simplification gives...

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  14. What is an algorithm?

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  15. State Euclid Division lemma.

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  16. If a and b are relatively prime numbers, then what is their HCF?

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  17. If p and q are two prime numbers, then what is their LCM?

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  18. What is the total number of factors of a prime number?

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  19. What is a composite number?

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  20. What is the HCF of the smallest composite number and the smallest p...

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