Q.

Write the decimal expansion of  number 19 256  .


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a

     0.06421875 

b

     0.05421875

c

     0.07421875

d

     0.0421875 

answer is C.

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Detailed Solution

Given,
The rational number is 19 256  .
As we know,
Rational number is number that can be expressed as p q   of two integers and q  is non zero.
Simplifying the number 19 256  , we get,
  19 256 = 19 2 8   19 256 = 19× 5 8 2 8 × 5 8  
19 256 = 7,421,875 2×5 8   19 256 = 7,421,875 10 8    19 256 =0.07421875  
Hence, the decimal expansion of 19 256   is 0.07421875.
Therefore, option(3)     is correct answer.
 
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