Question

the decimal expansion of the rational number
$33 \div {2}^{2} \times 5$
will terminate after

Answer 1

Hey there!!

Thank u for your Question!!

we have ,

$\frac{33}{ {2}^{2} \times 5} \\ = > \frac{33 \times {5} }{ {2}^{2} \times {5}^{2} } \\ = > \frac{165}{ {(2 \times 5)}^{2} } \\ = > \frac{165}{100} \\ = > 1.65 \\ \: we \: can \: see \: it \: gets \: terminate \: after \: two \: decimal \: place$
Hope this helps u!!