1. The problem asks to translate the English sentence "Every real number has a reciprocal except zero" into a mathematical sentence. 2. We use the set of real numbers $\mathbb{R}$ and the concept of reciprocal $\frac{1}{x}$. 3. The sentence means for all real numbers $x$, if $x \neq 0$, then there exists a reciprocal $\frac{1}{x}$. 4. Mathematically, this is written as: $$\forall x \in \mathbb{R}, x \neq 0 \implies \exists y \in \mathbb{R} \text{ such that } xy = 1$$ 5. This states that for every real number except zero, there is a real number $y$ (the reciprocal) such that their product is 1. Final answer: $$\forall x \in \mathbb{R}, x \neq 0 \implies \exists y \in \mathbb{R} : xy = 1$$