Question

find five rational number between -4/7 and |-4/7|​

Answer 1

SOLUTION

TO DETERMINE

Five rational numbers between

$\displaystyle \sf{ - \frac{4}{7} \: \: and \: \: \bigg| - \frac{4}{7} \bigg| }$

EVALUATION

Here the given two rational numbers are

$\displaystyle \sf{ - \frac{4}{7} \: \: and \: \: \bigg| - \frac{4}{7} \bigg| }$

Now

$\displaystyle \sf{ \bigg| - \frac{4}{7} \bigg| = \frac{4}{7} }$

So the given two rational numbers become

$\displaystyle \sf{ - \frac{4}{7} \: \: and \: \: \frac{4}{7} }$

Now

$\displaystyle \sf{ - \frac{4}{7} \: \: = - \frac{40}{70} }$

$\displaystyle \sf{ \frac{4}{7} = \frac{40}{70} }$

So the required five rational numbers are

$\displaystyle \sf{0 \: ,\: \frac{1}{70} \: , \: \frac{3}{70} \: ,\: \frac{9}{70} \: , \: \frac{11}{ 70} \: , \: \frac{13}{70} }$

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