Question

What condition is to be satisfied by a so that a rational number has a terminating q P 9 decimal expansion ? q=2m 30 m, n are non-negative integers (b) = 2m + 30, m, n are non-negative integers le q=23, m, n are non-negative integers 4 = 2 + 5, m, n are non-negative integers​

Answer 1

Answer: The rational number  

q

p

​

 where p and q are co-prime q will have a ferminating decimal expansion only if the prime factorisation of q is of the form 2  

n

.5  

m

, where n and m are non-negative integers.

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