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Which equation exemplifies the commutative property of addition?

  1. 1 + 3 = 4

  2. 1 + 3 = x

  3. 1 + 3 = 1 - (-3)

  4. 1 + 3 = 3 + 1

The correct answer is: 1 + 3 = 3 + 1

The option that exemplifies the commutative property of addition is the statement that shows that changing the order of the numbers being added does not affect the sum. In this case, the equation reveals that adding 1 and 3 results in the same outcome as adding 3 and 1. The commutative property can be summarized as: for any two numbers A and B, A + B equals B + A. This principle demonstrates that addition is flexible with respect to the arrangement of its addends. In contrast, the other statements do not focus on the commutative aspect. The first equation shows a simple addition result, while the second one introduces a variable which does not convey the idea of rearranging addends. The third option involves an equation that simplifies a different mathematical expression rather than showcasing the addition property itself. Thus, the selected equation clearly illustrates that the order of adding the two numbers does not influence the result, effectively demonstrating the commutative property of addition.