Question

Fund after home many digits in 17/80 decimal Will it determine

Answer 1

$Given \: \frac{17}{80}$

$= \frac{17}{2^{4} \times 5}$

$= \frac{17\times 5^{3}}{2^{4} \times 5^{4}}$

$= \frac{17\times 125}{(2\times 5)^{4}}$

$= \frac{2125}{(10)^{4}}$

$= \frac{2125}{10000}$

$= 0.2125$

Therefore.,

$\green { The \: number \: terminates \::After }$

$\green {4 \: decimal \: places }$

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