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Q: What is the commutative operation of additon?

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Yes it is : a + b = b + a for all integers a and b. In fact , if an operation is called addition you can bet that it is commutative. It would be perverse to call an non-commutative operation addition.

Both union and intersection are commutative, as well as associative.

NAND

it depends how the operation is

No, it is not.

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.

It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.

No. It is not a group.

It means that "a operation b" is the same as "b operation a". For example, in standard addition, 1 + 2 is the same as 2 + 1.

5 - 3 = 2 3 - 5 = -2 2 is not the same as -2 so the operation is not commutative.

when we add and substract any number * * * * * "substract" is not a word, and in any case, subtraction is not commutative. A binary operation ~, acting on a set, S, is commutative if for any two elements x, and y belonging to S, x ~ y = y ~ x Common binary commutative operations are addition and multiplication (of numbers) but not subtraction nor division.

For the set of real numbers, R, a binary operation is a function from R X R into R, where R X R is the x-y plane. A binary operation is commutative if the value returned by the operation is the same regardless of the order of the operands. For real numbers the two most basic commutative binary operations are addition and multiplication and they can be expressed in the following way:If a and b are any two real numbers then a + b = b + a (addition is commutative) and ab = ba ( multiplication is commutative).

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