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It means that when you exchange the two operands, the result doesn't change.

Example 1: For any two real numbers, a + b = b + a. In the real numbes, addition is commutative.

Example 2: For any two real numbers, ab = ba. In the real numbers, multiplication is commutative.

Example 3: For square matrixes, AB is not the same as BA. Multiplication of matrixes is NOT commutative.

Example 4: For vectors, a x b = - b x a. The cross product of vectors is NOT commutative.

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Q: What do you mean that an operation is commutative?
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Related questions

What is the commutative operation of additon?

what is the commutative operation of addition


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.


What does it mean for an operation to be 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.


Is addition of integers commutative?

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.


Does commutative law apply in the operation of sets?

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


An example of binary operation which is commutative but not associative?

NAND


Do you use the commutative property in subtraction?

it depends how the operation is


What does it mean to say that an operation is commutative?

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.


What is commutative distributed property mean?

what is commutative and distributed property mean


What does the commutative 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.


Is the set of rational numbers a commutative group under the operation of division?

No, it is not.


Does commutative property works for an operation?

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