An operation is commutative if the order of the operands doesn't matter.
eg addition and multiplication are commutative as:
1 + 5 = 5 + 1 = 6
2 × 6 = 6 × 2 = 12
Subtraction and division are NOT commutative as the order does matter.
eg 4 - 1 = 3, but 1 - 4 = -3 which is not the same.
eg 12 ÷ 3 = 4, but 3 ÷ 12 = ¼ = 0.25 which is not the same.
This latter explains why it is important for common understanding when reading expressions, especially divisions. In English 12 ÷ 4 is read as "12 divided by 4". In other languages this is not the same. I have met a native Spanish speaker (with English as a second language) reading 12 ÷ 4 as "4 divided by 12" but doing the correct calculation to get the correct value of 3.
what is the commutative operation of addition
It means the operation has two sub-operations and it does not matter in which order they are done. An example is the addition of two numbers (but not the subtraction). For example, 2+1=3, but also 1+2=3 so adding 1 and 2 is 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.
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.
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.
it depends how the operation is
NAND
what is commutative and distributed property mean
The commutative property states that changing the order of operands in a binary operation does not affect the result. More simply, and using more familiar terms: for addition, it means that A + B = B + A or for multiplication, A * B = B *A Subtraction and division are not commutative, nor is matrix multiplication.
No, it is not.
It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.