---
tags:
  - Mathematics
  - Prealgebra
  - operators
---

## Addition, subtraction

Addition is the inverse of subtraction:
$$(x - a) + a = x$$ 
$$ (6 - 2) + 2 = 6 $$

Subtraction is the inverse of addition:
$$(x + a) - a = x$$ 
$$ (3 + 2) - 2 = 3$$

Division is the inverse of multiplication
$$ \frac{a \cdot x}{a} = x$$ 
$$ \frac{6 \cdot 3}{6} = 3$$

Multiplication is the inverse of division
$$ a \cdot \frac{x}{a} = x$$
$$ 2 \cdot \frac{8}{2} = 8$$
