0=0 --------- (1)
0=0 --------- (2)
0+0=0+0 -------- (1) + (2)
0+0= 0
LHS=RHS
Hence proved.......
2006-08-24 01:31:30
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answer #1
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answered by PeHLi KiRaN 2
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There is an axiom that "0" is an (the) additive identity, meaning that for any number a, a+0=0+a=a. You could then insert 0 in for a, so 0+0=0+0=0.
2006-08-24 01:41:27
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answer #2
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answered by Kyrix 6
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IF 0+0 not = 0 let's say 0+0 = 2 => 0 = 1
=> 1=1+0=1+1=2=2+0=2+1=3=...=infinity
Therefore we have sentence 1:
1.Any to numbers are equal .
=>The logical value of this sentence is 1 (true) which is = to 0
Therefore , we also have the sentence the opposite of the first ;
2.Any to numbers are not equal .
with logical value 1 . (true) opposite to 0 .
Sentences 1 and 2 are true in the same time => paradox .
Therefore 0+0 = 0
2006-08-24 03:52:39
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answer #3
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answered by d13 666 2
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There is such a thing known as the identity law. This is basically like this:
Let "a" be real number. The identity law states that when you add 0 to "a", you get back "a", the same as what you started with. In an equation, a+0=a, hence the name "identity law". When a happens to be 0, the result is 0+0=0.
2006-08-24 01:47:44
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answer #4
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answered by Veefessional 2
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0 is an identity function defined for the addition operation such that,
0 + a = a
a + 0 = a
Therefore if a = 0, we have,
(0) + 0 = (0)
Hence,
0 + 0 = 0
2006-08-24 03:28:40
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answer #5
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answered by ideaquest 7
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"0" is by definition the additive identity, so
"0" added to any other number results in that
number, even if that number is "0" itself.
So since 0+a=a, when a =0, we have
0+0=0. No big deal.
2006-08-24 01:50:07
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answer #6
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answered by albert 5
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100 = 100 (I hope I dont have to prove THIS)
subtract 100 from each side
100 - 100 = 100 - 100
add and subtract 100 to the LHS
100 - 100 + 100 - 100 = 100 - 100
(100 - 100) + (100 - 100) = (100 - 100)
solving inside the brackets
0 + 0 = 0
in algebra:
a = a
a-a = a-a
a-a + a - a = a-a
0 + 0 = 0
2006-08-24 02:29:06
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answer #7
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answered by blind_chameleon 5
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The rule in mathematics is any number plus zero is equal to the original number.
2006-08-24 01:26:59
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answer #8
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answered by voyagerbck 2
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Any number when added with zero gives the same number.
or otherwise if you have nothing in your hand and add nothing to it then nothing will be left in your hand or conversely there will be nothing in your hand.
2006-08-24 01:33:26
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answer #9
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answered by goodwin 3
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Most likely there is no proof for it.
2006-08-24 01:26:10
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answer #10
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answered by Anonymous
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