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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.

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Q: Explain when an binary operation is commutative?
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An example of binary operation which is commutative but not associative?

NAND


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).


What is the commutative operation of additon?

what is the commutative operation of addition


Why are the set of real numbers is not commuted under subtraction and addition?

Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.


What is an example of a commutative property?

The commutative property states that you can change the order of the arguments of a binary operation without affecting the result. To illustrate: X + Y = Y + X, for commutativity of addition.


What is commutativity property?

something like 5x4=4x5.


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.


What is the definition of commuitive property?

Communitative Property In mathematics an operation is commutative if changing the order of the operation does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. ...


What is the commutative property of a fact?

Commutativity is a property of binary operations. A fact is not a binary operator.


Can you have additive identity and commutative property in the same problem?

Yes. The additive identity is always commutative - even in sets with binary operations that are not otherwise commutative.


What is the commutative property in math?

The commutative property of a binary operator states that the order of the operands does not affect the result. Thus x ^ y = y ^ x where ^ is the binary operator. Addition and multiplication of numbers are two common operators that are commutative. Subtraction and division are two common ones that are not commutative.


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.