Question #0df40

1 Answer
Aug 11, 2016

Answer:

Assuming that by "opposite" you mean the amount you would need to add to a number to get zero (that is, the "additive inverse") then:
#color(white)("XXX")#the opposite of the opposite of 2 is #color(green)(+2)#

Explanation:

Starting with the #color(red)("opposite of 2")#
#color(white)("XXX")color(red)("the opposite of 2")# or #color(red)("additive inverse of 2")#
#color(white)("XXX")#is the amount we need to add to #color(red)(2)# to get #color(purple)(0)#;
so,
#color(white)("XXX")color(red)("the opposite of 2")# must be #color(red)(""(-2))#

Therefore #color(blue)("the opposite of ")color(red)("the opposite of 2")#
#color(white)("XXX")#is the amount we need to add to #color(red)(""(-2))# to get #color(purple)(0)#;
so,
#color(white)("XXX")color(blue)("the opposite of ")color(red)("the opposite of 2")# must be #color(blue)(""(+2))#