Question

the decimal expansion of rational number 14587 over 1250 terminate after how many places​

Answer 1

Answer:

After 4 decimal places.

Step-by-step explanation:

$\frac{14587}{1250}$

=

$\frac{14587}{ {5}^{4} \times 2}$

=

$\frac{14587 \times {2}^{3} }{ {5}^{4} \times {2}^{4} }$

=

$\frac{14587 \times 8}{ {10}^{4} }$

=

$\frac{116696}{10000}$

= 11.6696