Question

Ifp/q is a rational number (q≠0), where is the condition on q so that the decimal representation of p/q is terminating​

Answer 1

Answer:

p/q is a rational q is not equal to zero

p/q is a terminating decimal ,

if q = 2^n *5^m where n ,m are positive integers

Step-by-step explanation:

q should have any factor or multiple of 10 that is where x and y are positive integers.

Given:

is the rational number  

To find:

The condition of q so that the decimal representation of  is terminating

Solution:

Given,  is a rational number where q not equal to 0.

So, for   to be a terminating decimal, q should have any factor or multiple of 10.

This can be represented in the order of , where both x and y are positive integers.  

So, q must be any factor or multiple of 10 expressed in the form of , for a fraction  

to be a terminating fraction.

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