the smallest rational number by which 1/4 should be multiplied so that its decimal expansion terminates after one place of decimal is
Answers
Answer and explanation:
To find : The smallest rational number by which \frac{1}{3}
3
1
should be multiplied so that its decimal expansion terminates after one place of decimal is?
Solution :
To get a terminating decimal digit we use 2m\times 3n2m×3n 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 \frac{1}{3}
3
1
is \frac{1}{10}
10
1
, as \frac{1}{10}
10
1
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:
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