How do you simplify #|2| + |-6| - |3| - |-4|#?

1 Answer
Apr 26, 2016

Answer:

#1#

Explanation:

Since
#color(white)("XXX")abs(2)color(white)("X")=2#
#color(white)("XXX")abs(-6)=6#
#color(white)("XXX")abs(3)color(white)("X")=3#; and
#color(white)("XXX")abs(-4)=4#

#abs(2)+abs(-6)-abs(-3)-abs(-4)#
#color(white)("XXX")=2+6-3-4#
(with evaluation done from left to right:)
#color(white)("XXX")=8-3-4#
#color(white)("XXX")=5-4#
#color(white)("XXX")=1#