Question

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Answer 1

Answer and explanation:

To find :

         The smallest rational number by which  should be multiplied so that its decimal expansion terminates after one place of decimal is  ?

Solution :

To get a terminating decimal digit we use  in the denominator.

The number of decimal digit is proportional to “m” and “n” the decimal digit is m if m > n and n if decimal digit is n.

If the denominator is 2, 5 or 10 we find the decimal digits termination after one place

So the smallest number that can be multiplies by  is , as  has 0.1.

It is the smallest decimal expansion that can be nothing is smaller than 1 except zero but that won’t be decimal.  

Answer 2

Answer:

1/10

Step-by-step explanation:

1/10 small rational number among all options