in communitive prop., the problem does not change at all except for the order. In accociative prop. the grouping also changes.
for example
communitive prop. associative prop
i forgot LOL
x+1=154665
1+x=154665
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No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
the switch the numbers arond
Commutative law: The order of the operands doesn't change the result. For example, 4 + 3 = 3 + 4. Associative: (1 + 2) + 3 = 1 + (2 + 3) - it doesn't matter which addition you do first. Both laws are valid for addition, and for multiplication (as these are usually defined, with numbers. However, special "multiplications" have been defined that are not associative, or not commutative - for example, the cross product of vectors, or multiplication of matrices are not commutative.
There are many properties of multiplication. There is the associative property, identity property and the commutative property. There is also the zero product property.