4. Find ten rational numbers between  \frac{-2}{5} and \frac{1}{2} .

Answers (1)

Rational numbers between any 2 numbers can easily be find out by taking  their means.

i.e., For \\\frac{-2}{5} and \\\frac{1}{2} 

   Their mean is \left ( \frac{-2}{5}+\frac{1}{2} \right )\div 2 = \frac{1}{20} .     Hence 1 rational number between \frac{-2}{5} and \frac{1}{2} is \frac{1}{20}.

Now we will find mean between \frac{-2}{5} and \frac{1}{20} .

This implies new required rational number is \left ( \frac{-2}{5}+\frac{1}{20} \right )/2 = \frac{-7}{40}.

Similarly, we will find mean between  \frac{1}{20}  and  \frac{1}{2}

New required rational number is \left ( \frac{1}{20}+\frac{1}{2} \right ) /2 = \frac{11}{40}

Similarly, we will take means of new numbers generated between \frac{-2}{5} and  \frac{1}{2}.

 

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