---
tags:
  - Mathematics
  - Prealgebra
  - theorems-axioms-laws
---

**Let $a$ represent any member of $\mathbb{Z}$. Then there is a unique member of $\mathbb{Z}$ $-a$ such that:**

$$ a + (-a) = 0 $$

The sum of a number and it's negative (called **the additive inverse**) is always zero.
