1. The problem is to understand and apply the Reciprocal Law, which states that the reciprocal of a number $x$ is $\frac{1}{x}$, provided $x \neq 0$. 2. The formula for the reciprocal of a number $x$ is: $$\text{Reciprocal of } x = \frac{1}{x}$$ 3. Important rules: - The reciprocal of zero is undefined because division by zero is not allowed. - The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$. 4. Example: Find the reciprocal of $5$. - Using the formula, reciprocal of $5$ is $\frac{1}{5}$. 5. Example: Find the reciprocal of $\frac{3}{4}$. - Reciprocal is $\frac{4}{3}$. 6. If you multiply a number by its reciprocal, the result is always 1: $$x \times \frac{1}{x} = 1$$ This is the essence of the Reciprocal Law.