Either # can be up such as 4+5 or 5+4 they both equal 9

Commutative means pertaining to exchange or substitution. It forms the part of arithmetic-logical formula as a binary operation (sets of two). For example, if a × b = b × a, the operation indicated by × is known to be commutative. In multiplication and addition, we often find the terms to be randomly interchanged or commutative. For instance: X+y=y+x or xy=yx.

The non-commutative binary operations involve subtraction(x-y), division(x/y) and exponentiation (xy). A practical example of non-commutativity is the Rubik's cube. Turning the front face clockwise, then top face in a clockwise manner and the front face counterclockwise (FUF') will not produce the same outcome as turning the front face clockwise, then counterclockwise and lastly twisting the top clockwise (FF'you).The word "commutative" can also loosely mean to be independent or free from external influence. The word was first used sometime in the middle of the 17th century.

The non-commutative binary operations involve subtraction(x-y), division(x/y) and exponentiation (xy). A practical example of non-commutativity is the Rubik's cube. Turning the front face clockwise, then top face in a clockwise manner and the front face counterclockwise (FUF') will not produce the same outcome as turning the front face clockwise, then counterclockwise and lastly twisting the top clockwise (FF'you).The word "commutative" can also loosely mean to be independent or free from external influence. The word was first used sometime in the middle of the 17th century.

Well explain it