1. The problem is to translate the English sentence "Every real number has a reciprocal except zero" into a mathematical sentence. 2. The mathematical statement involves the set of real numbers $\mathbb{R}$ and the concept of reciprocal. The reciprocal of a number $x$ is $\frac{1}{x}$, and it exists for all $x \neq 0$. 3. The translation is: $$\forall x \in \mathbb{R}, x \neq 0 \implies \exists y \in \mathbb{R} \text{ such that } xy = 1.$$ This means for every real number $x$ except zero, there exists a real number $y$ (the reciprocal) such that their product is 1. 4. Important note: zero does not have a reciprocal because division by zero is undefined. 5. Therefore, the final mathematical sentence is: $$\forall x \in \mathbb{R}, x \neq 0 \implies \exists y \in \mathbb{R} : xy = 1.$$