Question

look at several examples of rational numbers in the form p/q q is not equal to 0, when p and q are integers with no common factors other rhan 1 and having terminating decimal representations (expansions) . can you guess what property of q must satisfy ? (with step by step)​

Answer 1

Answer:

the denominator of a rational number with terminating decimal expansion must have powers of 2 or 5

for ex

1/10 is a rational number with denominator having

10= 2×5 so it has terminating decimal expansion.

but 1/9 has denominator 9 = 3×3

so it will have non terminating decimal expansion.

hope it helps you

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