单选题Let @ represent one of the four basic arithmetic operations such that, for any nonzero real numbers P and Q, P @ 0=P and P @ Q=Q @ P. Which arithmetic operation(S) does the symbol @ represent?A×onlyB+onlyC-onlyD-and×E+and÷
单选题
Let @ represent one of the four basic arithmetic operations such that, for any nonzero real numbers P and Q, P @ 0=P and P @ Q=Q @ P. Which arithmetic operation(S) does the symbol @ represent?
A
×only
B
+only
C
-only
D
-and×
E
+and÷
参考解析
解析：
If P @ Q=P, then symbol @ can represent either addition or subtraction, but not multiplication or division. Since it is also given that P @ Q=Q @ P, the operation @ is commutative. Since addition is commutative and subtraction is not commutative, the symbol @ represents only addition.
If P @ Q=P, then symbol @ can represent either addition or subtraction, but not multiplication or division. Since it is also given that P @ Q=Q @ P, the operation @ is commutative. Since addition is commutative and subtraction is not commutative, the symbol @ represents only addition.
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