Question

State whether the following rational number will have a terminating decimal expansion or a nonterminating reapiting decimal expansion 17 by 8

Answer 1

it is a terminating decimal expansion

Answer 2

$\frac{17}{8}$

$\frac{17}{2 {}^{3} }$

$\frac{17}{2 {}^{3} \times {5}^{0} }$

Hence The Denominator is In form

$2 {}^{m} \times 5 {}^{n}$

Hence,It will Terminate.

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