Question

identify the property a + (-a) = 0. symmetric, inverse of addition, associative of addition, identity of addition

Explanation:

The equation $a+(-a) = 0$ shows that for any number $a$, adding its additive inverse $-a$ results in zero. This is the definition of the inverse property of addition. The symmetric property involves swapping sides of an equation like if $a = b$ then $b = a$. The associative property of addition is about grouping like $(a + b)+c=a+(b + c)$. The identity of addition is $a+0=a$.

Answer:

Inverse of addition