Final answer:
The additive inverse of Arianna running up 4.5 flights of stairs is -4.5, which when added to 4.5 results in zero.
Step-by-step explanation:
The additive inverse of a number is the value that, when added to the original number, will result in zero. For a positive number, the additive inverse is negative, and for a negative number, the additive inverse is positive. In the case of Arianna running up 4.5 flights of stairs, the additive inverse would be -4.5, since 4.5 + (-4.5) equals 0. Hence, the correct answer to the question is a) -4.5.