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Answered 2013-05-21 17:58:44

what is the commutative operation of addition

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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.

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.

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 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.

What is abelianness?

Abelianness is the quality of an expression being abelian - having a commutative-defining operation.

What is commutive property?

The COMMUTATIVE property (not commutive) states that the order in which a binary operation is carried out does not affect the result. In symbolic terms, a ~ b = b ~ a Addition and multiplication are commutative.

What is a definition of commutative property?

A mathematical operation, denoted by ~, is commutative over a set S, if x ~ y = y ~ x for all x and y belonging to S.

How are rational numbers not commutative?

Numbers, by themselves are neither commutative nor are they non-commutative. Commutativity is a property that belongs to a mathematical operation on a set of numbers. However, since the question does not specify what operation you have in mind, it is not possible to give a more helpful answer. The basic operations of arithmetic are addition, subtraction, multiplication and division, but there are many more mathematical operations.

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 a positive plus a positive equal?

Rules of operators additon and multiplication (+) + (+) = + (+) + (-) OR (-)+(+)= sign of bigger number (-) + (-) = -(operation is addition but sign is -) (+) * (+) = + (-) * (-) = + (+) * (-) OR (-)*(+)= -

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 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.

Is subtraction commutative?

No.The binary operation of subtraction (really adding a negative number) is NOT commutative.Let's say * is the binary operation of subtraction (really addition): such thata*b = a - b or more correctly: a + (-b).Let's assume it is commutative, Then a*b = b*aLet's find any counter example to show that this not the case:a=1b=41 + (-4) =/= 4 + -1-3 =/= 3

Does commutative property work for fractions?

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers

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.

Why isn't subtraction included as an operation on real numbers?

Subtraction is definitely an operation defined on real numbers. I'm guessing you are actually asking why subtraction is not included as a commutative operation, this is because a-b is not always equal to b-a.

Is x-1 equal to 1-x?

No. Subtraction is not commutative.No. Subtraction is not commutative.No. Subtraction is not commutative.No. Subtraction is not commutative.

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