The decimal expansion of the rational number 14587/1250 will terminate after how many decimal places ?



 

Asked by pritpal.singh.kang | 13th Apr, 2019, 04:00: PM

Expert Answer:

begin mathsize 16px style 14587 over 1250 equals fraction numerator 14587 over denominator 2 space cross times 5 to the power of 4 end fraction
Here space the space denominator space is space in space the space form space of space 2 to the power of straight m 5 to the power of straight n.
The space power space of space 2 space is space 1 space and space the space power space of space 5 space is space 4 space and space
we space know space that space 4 greater than 1 comma
rightwards double arrow the space decimal space expansion space of space fraction numerator begin display style 14587 end style over denominator begin display style 1250 end style end fraction space will space terminate space after space 4 space decimal space places.
end style

Answered by Yasmeen Khan | 14th Apr, 2019, 02:51: PM