A rational number in its decimal expansion is 623.6051 .what can you say about the prime factors of q, when this number is expressed in the form p/q? give reason
Answers
Answered by
0
Decimal expansion of a rational number is 623.6051.
Then when it is expressed in p/q form , prime factors of q are 2 and 5.
Because by theorem we know that,
if x is a rational number whose decimal expansion terminates and when x is expressed in p/q form , where p and q are co-prime and then prime factorization of q is of the form 2^n5^m , where n,m are non-negative integers.
Then when it is expressed in p/q form , prime factors of q are 2 and 5.
Because by theorem we know that,
if x is a rational number whose decimal expansion terminates and when x is expressed in p/q form , where p and q are co-prime and then prime factorization of q is of the form 2^n5^m , where n,m are non-negative integers.
Similar questions