1. **Stating the problem:** We are given several numerical expressions to evaluate: - $(106.7)(98.2)$ - $(46.210)(1.01)$ - $(18.7)^2$ - $3.12$ We need to calculate each product or power. 2. **Formula and rules:** - Multiplication of two numbers: $a \times b$ - Squaring a number: $a^2 = a \times a$ 3. **Calculations:** - $(106.7)(98.2) = 10479.94$ - $(46.210)(1.01) = 46.6721$ - $(18.7)^2 = 18.7 \times 18.7 = 349.69$ - $3.12$ is already a number, so it remains $3.12$ 4. **Explanation:** - Multiplying two decimal numbers involves multiplying as if they were integers and then placing the decimal point correctly. - Squaring a number means multiplying it by itself. 5. **Final answers:** - $(106.7)(98.2) = 10479.94$ - $(46.210)(1.01) = 46.6721$ - $(18.7)^2 = 349.69$ - $3.12$ remains $3.12$