The error in Aaron's reasoning is that he incorrectly states that both –5 + 3 and –3 + 5 will yield the same result.
In reality:
- –5 + 3 equals –2.
- –3 + 5 equals 2.
Thus, the answer to the question about the error in his reasoning is: The numbers are not in the correct order.
It's important to note that the commutative property of addition states that the order of the addends does not affect the sum, but in this case, Aaron is adding numbers with different signs, leading to different results.