Addition: Properties of Addition

Here’s some information about the properties of addition:

1. Commutative property: The order in which numbers are added does not affect the result. In other words, a + b = b + a.

2. Associative property: The grouping of numbers being added does not affect the result. In other words, (a + b) + c = a + (b + c).

3. Identity element: The number 0 is the identity element for addition because adding it to any number does not change its value. In other words, a + 0 = a.

4. Inverse property: For every number a, there exists an opposite number -a such that a + (-a) = 0.

These properties hold true for all real numbers and are fundamental concepts in mathematics.

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