Question

The decimal expansion of the rational number 14587/1250 will terminate after ​

Answer 1

Answer:

The decimal expansion of the rational number will terminate after 4 decimal places.

Step-by-step explanation:

Given:- 14587/1250

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

Add $2^{3}$ to both numerator and denominator

$\large = \frac{14587 \times {2}^{3} }{ {2}^{2} \times {5}^{2} }$

$\large\frac{14587 \times 8}{(2 \times 5) {}^{4} }$

Now simplify the above step by simple

mathematical calculations

= 116696/10000

=11.6696

Hence here in the given problem the decimal places will terminate after 4 decimal places or decimal fractions.

So from this we can conclude that the rational numbers can be expressed in the form of decimal fractions also

Answer 2

Answer:

4 decimal expansions

Step-by-step explanation: