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How do I add integers on a number line?

Published in Adding Integers 2 mins read

Adding integers on a number line involves starting at the first integer and moving right (for positive integers) or left (for negative integers) by the value of the second integer.

Here's a breakdown of how to add integers using a number line, based on the provided reference:

  • Starting Point: Identify the first integer in the addition problem. Locate this number on the number line. This will be your starting point.

  • Direction and Distance:

    • If you are adding a positive integer, move to the right on the number line.
    • If you are adding a negative integer, move to the left on the number line.
    • The absolute value of the second integer determines how many units you move.
  • Ending Point: The number you land on after moving the appropriate number of units is the sum of the two integers.

Example from the Reference:

The reference demonstrates adding -7 and 11:

  1. Start at -7: Locate -7 on the number line.
  2. Move Right 11 Units: Since you're adding positive 11, move 11 units to the right. The reference visually shows counting 11 units to the right.
  3. Result: You end up at positive 4. Therefore, -7 + 11 = 4.

In summary, using a number line to add integers provides a visual representation of the addition process, making it easier to understand the concept of positive and negative numbers.