Closure Question

I’m given 8+(-8)=0. I’m to list all the laws that apply. Additive inverse is obvious. One of the options is closure which states a+b= real number or rational number. Would it be best to include closure law as an answer as well?

Here’s another with the same question:

(-3)+(3+9) = [(-3)+3)]+9 = 0+9 =9

I see associative, inverse, and identity. But an option is also closure.

If I mark something as identity or inverse, can I also mark it as closure?