1. **State the problem:** We need to determine which number line correctly displays the points $\{-1.70, \frac{1}{2}, -1.25, -\frac{3}{5}\}$ in order from left to right. 2. **Convert all points to decimal for easy comparison:** - $-1.70$ is already decimal. - $\frac{1}{2} = 0.5$ - $-1.25$ is already decimal. - $-\frac{3}{5} = -0.6$ 3. **Order the points from smallest to largest:** - The smallest is $-1.70$ - Next is $-1.25$ - Then $-0.6$ - Finally $0.5$ 4. **Check each option's order of points left to right:** - Option A: $-1.70, -1.25, -\frac{3}{5}, \frac{1}{2}$ matches the correct order. - Option B: $-1.25, -\frac{3}{5}, \frac{1}{2}, -1.70$ is incorrect because $-1.70$ is last. - Option C: $-1.70, -1.25, -\frac{3}{5}, \frac{1}{2}$ matches the correct order. - Option D: $-1.70, -1.25, -\frac{3}{5}, \frac{1}{2}$ matches the correct order. 5. **Check the number line scales:** - Options A, C, and D have the number line from $-2.0$ to $0.4$ or $0.0$ to $0.4$. - Option B extends to $0.8$ but places $-1.70$ incorrectly. 6. **Conclusion:** Options A, C, and D show the points in correct order. However, option A's number line extends to $0.4$ but includes $0.5$ ($\frac{1}{2}$) which is outside the scale, so it is inconsistent. - Option C and D have the same scale and order. Since options C and D are identical in points and scale, both correctly display the points. **Final answer:** Options C and D correctly display the points in order on the number line.