Question

Write the denominator of 257/500 in the form 2^m x 5^n. Hence, write its decimal expansion without actual division.

Answer 1

$\frac{257 \times 2}{2^{2} \times {5}^{ 3} \times 2 }$
$= \frac{514}{(2 \times 5)^{3} }$
$= 0.514$