Q.

After how many decimal places will the decimal expansion of the number 47 2 3 5 2  terminate?


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a

     5

b

     2

c

     3

d

     1 

answer is C.

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Detailed Solution

We have been given an expression 47 2 3 5 2  .
If x= p q  is a rational number, and the prime factorization of q in the form of 2 m 5 n ,  then x has a decimal expansion which terminates.
Multiply the numerator and the denominator by 5 in the expression,
Question Image 47 2 3 5 2 =0.235  
Thus, the decimal expansion of the given expression terminates after 3 places of decimal.
Therefore, the correct answer is option (3).
 
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