#|-3|# #=># #3#
#|-3|# is called modulus or absolute value of the number #-3#. The modulus or absolute value of a number is the non-negative value of the number. That is, for a negative number #-x#, it's modulus#(|-x|)# is its positive value #=> # #+x# #=># #x#. But the modulus value of a positive number is the same. That is, #|x|# #=# #x#.
#-|2|# #=# #-2#
#-|2|# means the negative value of the modulus #2#. So, the modulus of #2# is #2# itself #(|2| = 2)#. Then we have to attach a negative sign for the answer. So, it will become #-2#
Now, we have to arrange it from least to greatest. Least to greatest means, we have to arrange them in the increasing order of their value. So, the smallest number in here is #-4##,# after that #-|2|#, then #-1#, then #|-3|# and #4#.
So the order is, #-4, -|2|, -1, |-3|, 4#
