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
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The commutative property of addition and the commutative property of multiplication.
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 sum of two negative integers is always negative due to the commutative and associatve property. In other words, summing or adding two negative numbers results in a larger scalar negative number. ex -1 + -1 = -2
There are two properties of addition. The COMMUTATIVE property states that the order in which the addition is carried out does not matter. In symbolic terms, a + b = b + a The ASSOCIATIVE property states that the order in which the operation is carried out does not matter. Symbolically, (a + b) + c = a + (b + c) and so, without ambiguity, either can be written as a + b + c. That is IT. No more! The DISTRIBUTIVE property is a property of multiplication over addition (OR subtraction), not a property of addition. The existence of of an IDENTITY and an ADDITIVE INVERSE are properties of the set over which addition is defined; again not a property of addition. For example, you can define addition on all positive integers which will have the commutative and associative properties but the identity (zero) and additive inverses (negative numbers) are undefined as far as the set is concerned.
Commutative property is taking a question and flipping its factors and getting the same answer. Example: 7+(5+9)=21=(5+7)+9=21 Commutative Property of Addition