smallest rational no. by which 1/3 should be multiplied so that its decimal expansion terminate after one place of decimal is??
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Answer:
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.
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Answer:
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The smallest rational number by which 1/3 should be multiplied so that its decimal expension terminate after one place of decimal is