Question

The number of decimal places after which the decimal expansion of the rational number
$\frac{14588}{625}$
will terminate is?

Answer 1

$Heya$‼


$14588/625$

$=14588/5^4$

$=14588×2^4/5^4×2^4$

$=23.34$


Therefore, the rational number $14588/625$ will terminate after every 4 decimal places.

Answer 2

14588/625=14588/5^4
=14588*2^4/5^4. (denominator= 2*5)
=233408/10000
=23.3408
hence it will terminate after 4 decimal places