It doesn't matter where you start on the number line (positive or negative) it matters which way you move on the number line--left or right.
You move right in the following ways:
- Adding a Positive. That makes sense right? If I give you something positive, that positive--no two ways about it. This is the way you have been adding since kindergarten. 3 + 3 = +3 + (+3) = 6
- Subtracting a Negative. That makes sense too right? Right? If I subtract a negative from my life, my life just doesn't stay the same right? It becomes more positive! 3 - (-3) = 6
You move left in the following ways:
- Subtracting a Positive: Again, eminently sensible. If I take away a positive, you lose. Your life moves to the left. 6 - (+3) = 3 (What you learned was 6 - 3. What it really is is 6 - (+3). The positive is understood). So far so good.
- Adding a Negative: This makes sense too right? You know it does! If I add a negative, your life moves to the left, toward negative territory. 6 + (-3) = 3.
Now, go to the Math is Fun Page and study!
Here's a Integers Jeopardy game you can play for fun and learning.
You'll notice that the Jeopardy game requires a knowledge of multiplying and dividing integers. Technically this is a grade 8 outcome, but it's not illegal for you to learn how to do it, so here's the link to extra learning.
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