Final answer:
The order of rational numbers affects the result for subtraction and division, making these operations non-commutative, unlike addition and multiplication where the order does not affect the result.
Step-by-step explanation:
The order of rational numbers can indeed be reversed in certain operations without affecting the result. Specifically, this is true for addition and multiplication due to the commutative property. For example, A + B is equal to B + A, therefore if we add 2 + 3 or 3 + 2, the result is the same. This also holds true for multiplication, where A × B equals B × A, shown by examples such as 2 × 3 resulting in the same answer as 3 × 2.
However, for subtraction and division operations, reversing the order can change the result. When we subtract, we change the sign of the number being subtracted and then follow the addition rules. For division, the rules of signs for multiplication apply. Thus, these operations are not commutative, and option b) is the correct answer.