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  • The decimal expansion of the rational numbers 14587by1250 will terminate after: (A) one decimal place (B) two decimal places (C) there decimal places (D) four decimal places

The decimal expansion of the rational numbers \frac{14587}{1250} will terminate after:
(A) one decimal place
(B) two decimal places
(C) there decimal places
(D) four decimal places

Answers (1)

Answer.          [D]

 \text{Rational number =}\frac{14587}{1250}

                 \Rightarrow \frac{14587}{2^{1}\times \left ( 5 \right )^{4}}   
 
                 = \frac{14587}{2^{1}\times 5^{1}\times 5^{3}} 
                 = \frac{14587}{10\times 5^{3}}\times \frac{2^{3}}{2^{3}} \text{{Divide and multiply by 23}}
                 = \frac{116696}{10000}= 11.6696                 

 Hence the given rational number will terminate after four decimal places. (D) four decimal places
 

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infoexpert27

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