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How do you add integers with models?

Published in Integer Addition 2 mins read

Adding integers with models involves visually representing numbers and their addition using a number line and a "little guy" to demonstrate movement based on the integers. Let's clarify how this works, using an example from the reference provided.

The video "Integer Addition Models (Math for Teachers)" demonstrates integer addition using a number line.

Here’s how you can add integers using this method:

  1. Start at Zero: Begin by placing your "little guy" (or any marker) at zero on the number line.

  2. Represent the First Integer: The first integer tells you how far and in which direction to move the "little guy".

    • A positive integer indicates movement to the right.
    • A negative integer indicates movement to the left.
  3. Represent the Second Integer: From the new position, apply the second integer. Again, move right for positive and left for negative.

Example:

Let's model 1 + (-4):

  • Start at 0.
  • "1" means move one unit to the right. The "little guy" is now at 1.
  • "+ (-4)" means add -4, which indicates moving four units to the left from the current position (which is 1).

Therefore, the "little guy" will end up at -3. So, 1 + (-4) = -3.

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