Question

let x b a rational number whose decimal expansion terminates then X can be expressed in the form p q where p and q are coprime and the prime factorization of Q is of the form p a n and 5 M where NMR non-negative integer ​

Answer 1

Answer:

Given : x is a rational number whose decimal expansion terminates . p&q are two integers in which prime Factorisation of q is of the form 2^m5^n where p&q are co-prime & non negative integer

To Find : How x can be expressed

Solution :

• Consider the theorm ,

Let x be a rational number whose decimal expansion terminates.

Then x can be expressed in the form of p/q , where p and q are coprime and the prime factorisation of q is of the form 2^n5^m

, where n, m are non-negative integers.

•According to theorm

X can be expressed in the form of p/q

•Hence , X can be expressed in the form of p/q

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Step-by-step explanation: