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What is the deffinition of commutative?
Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A. Multiplication of numbers is also commutative but multiplication of matrices is not. Subtraction and division are not commutative.
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
How do you do diffrenciate commutative and associative?
Commutatitive property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Although illustrated above for addition, it also applies to multiplication. But not subtraction or division!
Why does the associative property work?
With binary operations, the associative property means that you can perform the operation on any adjacent pair before moving to further pairs. Thus: a + b + c = (a + b) + c = a + (b + c). This also applies to multiplication but not to subtraction nor division. 5 - (3 - 2) = 5 - 1 = 4 (5 - 3) - 2 = 2 - 2 = 0 Also, associativity does not imply commutativity so the order of the operands (numbers) cannot be changed unless the operation is also commutative.
What the commutative property?
The Commutative Property of Addition and also Multiplication: means the order is not important. So if you are only adding, then the terms can be taken in any order. Also if you are only multiplying, they can be multiplied in any order. So 3 x 4 x 5 = 5 x 4 x 3 = 3 x 5 x 4, etc. Think of somebody who commutes to work. They move from one place to another. So the terms can commute around and the answer will stay the same.
