\( \begin{array}{c}\text { Use the diagram to find the } \\ \text { solution to } 4+(-7)\end{array} \)

To solve the expression \( 4 + (-7) \) using a number line diagram, follow these steps: 1. **Start at 0 on the Number Line:** - Begin at the origin point, which is 0. 2. **Move 4 Units to the Right:** - Since you're adding 4, move 4 units to the right from 0. - This brings you to the number **4** on the number line. 3. **Move 7 Units to the Left:** - Now, add \(-7\), which is equivalent to subtracting 7. - From the position at 4, move 7 units to the left. - Moving left from 4 by 7 units takes you past 0 into the negative numbers. 4. **Determine the Final Position:** - Starting at 4, moving 7 units left: - From 4 to 0 is 4 units. - You have 3 more units to move left (7 - 4 = 3). - Ending at \(-3\) on the number line. 5. **Conclusion:** - Therefore, \( 4 + (-7) = -3 \). **Visual Representation:** ``` Number Line: -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 |----|----|----|----|----|----|----|----|----|----|----|----| Step 1: Start at 0 Step 2: Move right to 4 Step 3: Move left 7 units to -3 ``` **Summary:** \[ 4 + (-7) = -3 \]