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Why doesn't the commutative property work for other operations?
Try it out. 3 + 9 = 9 + 3 That works. 3 x 9 = 9 x 3 That works. 3 - 9 = 9 - 3 That doesn't work. 3/9 = 9/3 That doesn't work. The numbers came first. The commutative law was only devised because of the relationship of the numbers. It isn't that the commutative property doesn't work for other operations, it's that the other operations aren't commutative.
Does the commutative property work on division?
No, it does not.
Why 5x4 would not work as commutative property?
Not sure what "would not work" in this case. The corresponding commutative property states that 5x4 is the same as 4x5.
Why does adding the numbers in any order work?
it is the commutative property of addition
Does commutative property work for fractions?
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
