use deductive reasoning and the properties of addition to show that if z is a real number, then (z+2)+(-2)=z
2006-11-06 16:08:11 · 7 answers · asked by Anonymous in Education & Reference ➔ Homework Help
z=0
z=zero
cuz
(z+2)+(-2)=z
(0+2)+(-2)=0
2+-2=0
is this ur question? that wat is z?
wait wat is the question?
is this the answer that u were looking for?huh?
2006-11-06 16:10:59 · answer #1 · answered by sydney 2 · 0⤊ 1⤋
off the top of my head, please look up the exact definitions:
if z is a real number then z+0=z (additive identity, any number +0 = that number)
0 = 2 + -2 (additive inverse)
z + (2 + - 2) = z (substitution, plugging in (2 + -2) in place of 0)
(z +2) + (-2) = z (associative rule of addition)
something like that. I am too old for this.
2006-11-07 00:24:28 · answer #2 · answered by emilynghiem 5 · 0⤊ 1⤋
OK what you would put is ALL REAL NUMBERS. because u can rewrite it z+2-2=z (you lose the parenthesis and the extra signs. then u simplify and that leaves u with z=z cause they cancle each other out and if anything equals anything your answer can be all real numbers. i think the grownups were digging to far in making it harder than it is.
2006-11-07 20:34:54 · answer #3 · answered by someon 3 · 0⤊ 1⤋
z +2 - 2 = z
0=z-z
z= 1 0=1-1
z=-1 0=-1-(-1)
z is any number between -infinity and infinity
Any number minus itself is = 0
2006-11-07 00:30:43 · answer #4 · answered by 1Jazzy1 3 · 0⤊ 1⤋
just rewrite it. take off the parentheses so that it is "z+2-2=z" well two minus two = 0 so "z+0=z" meaning "z=z"
2006-11-07 00:13:11 · answer #5 · answered by Xanthe 2 · 0⤊ 1⤋
z can be a number
(z+2)+(-2)=z = z+2-2=z so yes
my alg. may be rusty....
2006-11-07 00:12:49 · answer #6 · answered by Kenny 2 · 0⤊ 1⤋
Aw, thats very tough, is it? :-p
2-2 = 0
z + 0 = z
2006-11-07 00:17:40 · answer #7 · answered by Anonymous · 0⤊ 1⤋