Use the image to answer the question.
A number line with arrows at both ends ranges from negative 12 to 12. The numbers negative 12, 0, and 12 are labeled.
Solve the following equation: 10+−7
. Use the number line as a model to find the solution.
To solve the equation 10 + (-7), we start at 10 on the number line and move 7 units to the left.
Since the arrow at the end of the number line indicates negative numbers, moving left represents subtracting.
Starting at 10, we subtract 1, 2, 3, 4, 5, 6, and 7 to the left.
The solution is 3.
To solve the equation 10 + (-7) using the number line as a model, follow these steps:
1. Start at the number 10 on the number line.
2. Move 7 units to the left, since the negative sign indicates subtraction or moving to the left on the number line.
3. Count the units as you move to the left from 10: 9, 8, 7, 6, 5, 4, 3.
4. Stop at the number 3. This is the solution to the equation 10 + (-7), which is equal to 3.