When adding integers, use a number line to help you think through problems.It will be really helpful.

For example: 2 + 6

Start at 2 and move 6 units to the right.

Since you stopped at 8, the answer is 8

Notice that you would get the same answer if you start at 6 and move 2 units to the right.

Find -2 + 8:

Start at 2 and move 8 units to the right.

Since you end up at 6, the answer is 6.

Find 4 + -7

Start at 4.

Here the number you are adding to 4 is a negative number(-7), so you have to move 7 units to the left.

After you do that, you will end up at -3, so the answer is -3

Find -2 + -6

Start at -2

Once again, the number you are adding is a negative number(-6), so you will move 6 units to the left.

You will end up at -8, so the answer is -8.

Other examples:

-1 + 8 = 7 ( Start at -1 and move 8 units to the right).

4 + -4 = 0 ( Start at 4 and move 4 units to the left).

7 + -9 = -2 ( Start at 7 and move 9 units to the left).

-5 + 3 = -2 ( Start at -5 and move 3 units to the right)

Other related topics related to integers are modeling integers with chips , integers and inductive reasonings ,and consecutive integers

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