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Q: Which operations on integers are commutative?

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It is no commutative.

In arithmetic, operations are interchangeable if they are 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.

Division and subtraction cannot be used with the commutative property.

division and subtraction

Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers): 5 + (-3) = (-3) + 5

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

Addition and Multiplication

Subtraction and division.

Commutative Property of Multiplication

The multiplication most people are familiar with which you probably learned in school, IS commutative - that's the multiplication of integers, as well as real numbers in general.There are some other operations which mathematicians call "multiplication" which are NOT communitative; for example, the multiplication of matrices, or the cross-product of vectors.

No. It is not a group.

Because 9 - 7 does not equal 7 - 9.

That's commutative ... 3x2 = 2x3.

Yes, it does.

Yes, it does.

Subtraction, division

Addition & multiplication

addition and multiplication

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

Addition and multiplication

In math, the Commutative Property refers to operations in which the order of the numbers being operated on does not matter. Multiplication and addition are commutative operations, which may be demonstrated by the algebraic equations "ab = ba" and "a + b = b + a", respectively.

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.

Commuting in algebra is often used for matrices. Say you have two matrices, A and B. These two matrices are commutative if A * B = B * A. This rule can also be used in regular binary operations(addition and multiplication). For example, if you have an X and Y. These two numbers would be commutative if X + Y = Y + X. The case is the same for X * Y = Y * X. There are operations like subtraction and division that are not commutative. These are referred to as noncommutative operations. Hope this helps!!

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