How do you simplify #abs(-3/2) #?

1 Answer
Jun 2, 2016

#|-3/2|#, or the absolute value of #-3/2#, can be written as #|0 - 3/2|#.

Recall that #|x - a|# means that the value is a distance #a# from #x# on the number line.

So, this means you are looking for the distance from #0# to #-3/2#. In other words, the distance from #(0,0)#, to #(-3/2,0)#.

This distance is always positive, and it is equal to #\mathbf(3/2)#.