Question

State whether 13/3125will have a terminating decimal expansion

Answer 1

13/3125=
$13 \div {5}^{5} \times {2}^{0}$
and since it has only 2&5 as prime factors. it is terminating decimal.

Answer 2

= 13/3125

= 13/5⁵

As the denominator ends in the form of 5ⁿ it has a terminating decimal.
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Hence it is of a terminating decimal expansion.
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