Question

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

Answer 1

Answer:

q must not be equal to 0 as said.

Step-by-step explanation:

0+4 =4

Answer 2

$\sf \underline\red{Solution:}$

The decimal representation will be terminating, if the denominators have factors 2 or 5 or both.

Therefore, p/q is a terminating decimal, when prime factorization of q must have only powers of 2 or 5 or both.