Solve the following equation: 7+−5 . Use the number line as a model to find the solution.

1 answer

To solve the equation \( 7 + (-5) \), we can interpret this as moving on a number line. Here's how you can visualize it:

  1. Start at 7: Locate the number 7 on the number line.
  2. Move left: Since you are adding a negative number (-5), you will move to the left 5 units.

Now, let's break it down step-by-step:

  • Starting at 7, moving left by 1 takes you to 6.
  • Moving left by another 1 takes you to 5.
  • Moving left by another 1 takes you to 4.
  • Moving left by another 1 takes you to 3.
  • Finally, moving left by another 1 takes you to 2.

After moving left 5 units from 7, you end up at 2.

Thus, the solution to the equation \( 7 + (-5) \) is:

\[ \boxed{2} \]