Which property is #(x+y)+z=x+(y+z)#?

1 Answer
George C.
Jun 10, 2015

Associativity of addition.

Explanation:

Addition and multiplication are both associative operations:

#(x + y) + z = x + (y + z)# for all #x#, #y# and #z#.

#(x * y) * z = x * (y * z)# for all #x#, #y# and #z#.

Notice that subtraction and division are not associative operations:

#(x - y) - z != x - (y - z)# (except when #z = 0#)

#(x -: y) -: z != x -: (y -: z)# (except when #x = 0# or #z = 1#)

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