if a,b are any two numbers then a+b=b+a
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No, it does not.
Not sure what "would not work" in this case. The corresponding commutative property states that 5x4 is the same as 4x5.
Subtraction, division
it is the commutative property of addition
Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers