1. **State the problem:** We are given a list of numbers: $-6, -5.3, -5, -4, -3$ and asked to find the correct number line that shows the sum of each number plus $1.9$. 2. **Formula:** To find the sum, use the formula: $$\text{new number} = \text{original number} + 1.9$$ 3. **Calculate the sums:** - For $-6$: $-6 + 1.9 = -4.1$ - For $-5.3$: $-5.3 + 1.9 = -3.4$ - For $-5$: $-5 + 1.9 = -3.1$ - For $-4$: $-4 + 1.9 = -2.1$ - For $-3$: $-3 + 1.9 = -1.1$ 4. **Check the options:** The problem highlights the point at $-5.3$ and its sum with $1.9$ is $-3.4$. 5. **Match with number lines:** - Option A shows a blue point at $-3.4$, which matches the sum of $-5.3 + 1.9$. - Other options show points at $-4.6$, $-4.4$, and $-3.6$, which do not match the calculated sum. **Final answer:** Option A is the correct number line showing the sum of $-5.3 + 1.9 = -3.4$.