Question

6.
Look at several examples of rational numbers in the form P (q+0), where p and q are
9
integers with no common factors other than 1 and having terminating decimal
representations (expansions), Can you guess what property q must satisfy?
​

Answer 1

Answer:

The property that q must satisfy in order that the rational numbers in the  

from  

q

p

​  

 , where p and q are integers with no  

common factor other than 1, have maintaining decimal representation is  

prime factorization of q has only powers of 2 or power of 5 or both .  

i.e 2  

m

×5  

n

 , where m=1,2,3,⋯ or n=1,2,3,⋯

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