Its commutative property of addition
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15 -7 = 8
No, this is the commutative property. For addition, the associative property is: x + (y + z) = (x + y ) + z
it is the associative property
no
If you know that the associative property of addition means that the terms can be added in any order and that a number and its additive inverse equals zero, you can see that the terms cancel each other out and the whole thing equals zero, but I think that mental addition still qualifies as addition.