1. **State the problem:** We need to determine which number line correctly displays the points $-\frac{1}{4}, -1.4, -1 \frac{4}{5}, -0.15$. 2. **Convert all points to decimal form for easy comparison:** - $-\frac{1}{4} = -0.25$ - $-1.4$ is already decimal. - $-1 \frac{4}{5} = -1 - \frac{4}{5} = -1 - 0.8 = -1.8$ - $-0.15$ is already decimal. 3. **Order the points from smallest to largest:** $$-1.8 < -1.4 < -0.25 < -0.15$$ 4. **Check each number line option:** - Option A: Points at approximately -1.8, -1.4, -0.25, -0.15 in order: $-1 \frac{4}{5}, -1.4, -\frac{1}{4}, -0.15$ which matches our order. - Option B: Points include positive 0.15 and 1.4, which are not in our list. - Option C: Points order is $-1 \frac{4}{5}, -0.15, -1.4, -\frac{1}{4}$ which is incorrect because $-0.15$ should be last. - Option D: Points order is $-1 \frac{4}{5}, -1.4, -\frac{1}{4}, -0.15$ which matches our order. 5. **Compare options A and D:** Both have the correct order of points. 6. **Check the number line descriptions:** - Option A: Number line from -2.0 to 0.0 with points at approximately -1.8, -1.4, -0.25, -0.15. - Option D: Number line from -2.0 to 0.0 with points at approximately -1.8, -1.4, -0.25, -0.15. Both A and D have the same points and range. 7. **Look at the placement of points in the text for A and D:** - A shows $-1 \frac{4}{5} -1.4$ on one line and $-\frac{1}{4} -0.15$ on the next, which is not in order left to right. - D shows $-1 \frac{4}{5} -1.4 -\frac{1}{4} -0.15$ in order left to right. **Final answer:** Option D correctly displays the points in order on the number line.