Question

The decimal expansion of the expression will terminate after how many places of decimal? 29/2^4 5^3

Answer 1

$Given \: \frac{29}{2^{4} \times 5^{3}}$

$= \frac{29\times 5}{2^{4} \times 5^{4}}$

$= \frac{145}{(2 \times 5)^{4}}$

$= \frac{145}{(10)^{4}}$

$= \frac{145}{10000}$

$= 0.0145$

Therefore.,

$\green { The\: decimal \:expansion \:of\: the}$

$\green { expression \:will \:terminate \:after}$

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

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