1. The problem asks to match the given numbers with the correct labels a, b, and c on the number line. 2. The points on the number line are: - a at $-\frac{3}{6}$ - b at $-\frac{2}{6}$ - c at $-\frac{1}{6}$ 3. Simplify the fractions: - $-\frac{3}{6} = -\frac{1}{2} = -0.5$ - $-\frac{2}{6} = -\frac{1}{3} \approx -0.333$ - $-\frac{1}{6} \approx -0.1667$ 4. Compare these values with the labels given: - a is labeled as $-0.4$ - b is labeled as $-\frac{1}{5} = -0.2$ - c is labeled as $-\frac{3}{7} \approx -0.4286$ 5. Check which label matches best with each point: - a at $-0.5$ is closest to $-\frac{3}{7} \approx -0.4286$ (label c) - b at $-0.333$ is closest to $-0.4$ (label a) - c at $-0.1667$ is closest to $-\frac{1}{5} = -0.2$ (label b) 6. Therefore, the correct matching is: - a corresponds to label c ($-\frac{3}{7}$) - b corresponds to label a ($-0.4$) - c corresponds to label b ($-\frac{1}{5}$)