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Solve the following equation: 10+−7 . Use the number line as a model to find the solution.

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To solve the equation \(10 + (-7)\), we can break it down as follows:

  1. Understanding the Equation: The equation can be interpreted as adding -7 to 10. This means we are moving 7 units to the left on the number line from the number 10.

  2. Using the Number Line:

    • Start at the position of 10 on the number line.
    • Move 7 units to the left.

  3. Calculating the Position:

    • From 10, if you move 1 unit left, you go to 9.
    • 2 units left takes you to 8.
    • 3 units left takes you to 7.
    • 4 units left takes you to 6.
    • 5 units left takes you to 5.
    • 6 units left takes you to 4.
    • 7 units left takes you to 3.

So, after moving 7 units to the left from 10, you arrive at 3.

  1. Final Result: The solution to the equation \(10 + (-7)\) is \(3\).

Thus, \(10 + (-7) = 3\).