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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
Is the set of rational numbers a commutative group under the operation of division?
No, it is not.
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 works for an operation?
It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
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.
Can you give an example to show that subtraction is not commutative?
5 - 3 = 2 3 - 5 = -2 2 is not the same as -2 so the operation is not commutative.
Explain when an binary operation is 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.
How does the commutative property describe the real numbers?
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).
