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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