Write the signed numbers in order from left to right. Show reasoning

As all the given numbers are negative, you ordered it by following the next:
[tex]\begin{gathered} -a \\ -b \\ \\ a>b \\ \\ -a<-b \end{gathered}[/tex]If a number with a negative sign (a) is greater than other number with a negative sign (b), number -a goes more on the left on a numbered line than number -b; then -a is less than -b
-a is further from 0 than -b