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No, it does not.
Subtraction, division
No. 3/6 = 0.5 while 6/3 = 2
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
Not sure what "would not work" in this case. The corresponding commutative property states that 5x4 is the same as 4x5.