+23254 The Associative Property for Addition is: a + ( b + c ) = ( a + b ) + c.
If there were an Associative Property for Subtraction it would have this form: a - ( b - c ) = ( a - b ) - c.
The real numbers does not have an Associative Property for Subtraction because of the following counterexample (one of many): 2 - ( 3 - 5 ) ≠ ( 2 - 3 ) - 5
2 - ( 3 - 5 ) = 2 - ( -2 ) = 2 + 2 = 4
( 2 - 3 ) - 5 = (-1) - 5 = -6 and 4 ≠ -6
I'm not certain what Z represents; does it represent complex number? If so, translate the above into complex numbers for a counterexample.
+23254 The Associative Property for Addition is: a + ( b + c ) = ( a + b ) + c.
If there were an Associative Property for Subtraction it would have this form: a - ( b - c ) = ( a - b ) - c.
The real numbers does not have an Associative Property for Subtraction because of the following counterexample (one of many): 2 - ( 3 - 5 ) ≠ ( 2 - 3 ) - 5
2 - ( 3 - 5 ) = 2 - ( -2 ) = 2 + 2 = 4
( 2 - 3 ) - 5 = (-1) - 5 = -6 and 4 ≠ -6
I'm not certain what Z represents; does it represent complex number? If so, translate the above into complex numbers for a counterexample.
