Question

1. which expression is represented on the number line? a. -12 ÷ -4 b. -12 ÷ 3 c. 3(-4) d. -3(-4)

Explanation:

Step1: Analyze the number line

The number line starts at 0, moves left 4 units three times, ending at -12. This represents adding -4 three times, or $3\times(-4)$.

Step2: Evaluate each option

• Option A: $\frac{-12}{-4}=3$ (does not match the number line result of -12)
• Option B: $\frac{-12}{3}=-4$ (does not match the number line result of -12)
• Option C: $3(-4)=-12$ (matches the number line's final value and action)
• Option D: $-3(-4)=12$ (does not match the number line result of -12)

Answer:

C. 3(-4)