Math and Arithmetic

# 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.

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## Related Questions

Addition and multiplication are operations on integers that are commutative.

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

No because the commutative property only works for addition and multiplication

Matrix addition is commutative if the elements in the matrices are themselves commutative.Matrix multiplication is not commutative.

The commutative property of addition can be stated as: a+b = b+a

The commutative property for any two numbers, X and Y, is X # Y = Y # X where # can stand for addition or multiplication. Whether the numbers are written as integers, rational fractions, irrationals or decimal numbers is totally irrelevant.

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.

Yes. Multiplication is commutative, just like addition.

Yes, complex numbers obey the commutative property of addition.

The Abelian or commutative property of addition of integers, rationals, reals or complex numbers.

The commutative property holds for all numbers under addition, regardless of whether they are positive or negative - the sign of the number stays with the number, for example: -2 + 5 = (-2) + 5 = 5 + (-2) = 5 + -2 -2 + -5 = (-2) + (-5) = (-5) + (-2) = -5 + -2 Subtraction is not commutative, but when subtraction is taken as adding the negative of the second number, the commutative property of addition holds, for example: 5 - 2 &ne; 2 - 5 but: 5 - 2 = 5 + -2 = 5 + (-2) = (-2) + 5 = -2 + 5

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

negetive integers are not closed under addition but positive integers are.

The commutative property of addition and the commutative property of multiplication.

All real numbers are commutative under addition and multiplication.

The commutative property of addition states that x + y = y + x for any two elements x and y.

A+ B = B + A is the Commutative Property of Addition.

The commutative property for addition is a + b = b + a

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