We have used a few methods for modeling integer addition...

Below is the Numberline Method. The first models 7 + (-10). We simply moved 7 spaces to the RIGHT for POSITIVE 7, and (from this spot +7) move 10 spaces to the LEFT for NEGATIVE 10. You will end up on the solution: -3

The next way to model integer addition is the Integer Chip Method. Below is 7 + (-6) modeled with integer chips. We circle the red and yellow positive/negative pairs, called ZERO PAIRS. What is left over is the solution, in this case: 1!

Finally, we learned some rules about adding and subtracting integers. When you have a problem with two signs (+/-) right next to each other, you can use the NEIGHBOR RULE to eliminate the double signs. (+/- gives you a - and -/- gives you a +)

-4 + (-1) = -4 -1

3 - (-2) = 3 + 2