1. Stating the problem: We will multiply different pairs of integers to understand the multiplication process. 2. Example 1: Multiply $3$ and $4$. $$3 \times 4 = 12$$ Multiplying $3$ by $4$ means adding $3$ four times or adding $4$ three times. 3. Example 2: Multiply $-5$ and $6$. $$-5 \times 6 = -30$$ A negative times a positive integer results in a negative product. 4. Example 3: Multiply $-7$ and $-2$. $$-7 \times -2 = 14$$ A negative times a negative integer results in a positive product. 5. Example 4: Multiply $0$ and $9$. $$0 \times 9 = 0$$ Any integer multiplied by zero is zero. These examples illustrate basic integer multiplication rules.