Insert five rational numbers between $x$ and $|x|$, where $x=\frac{-17}{20}$.

Given: $x$ and $( |x|$, where $x=\frac{-17}{20}$.

To do: To insert five rational numbers between $x$ and $( |x|$.

$|x|=|-\frac{17}{20}|$

$=\frac{17}{20}$

Five rational numbers between $x$ and $( |x|$ are:

$-\frac{16}{20},\ -\frac{15}{20},\ -\frac{14}{20},\ -\frac{13}{20},\ -\frac{12}{20}, -\frac{11}{20}$ .......