Let a and b be positive integers:
1. A Positive times a Negative equals a Negative.
Ex: 5 x -2 = -(5 x 2) = -10
2. Negative times a Positive equals a Negative.
Ex: -7 x 3 = (-(7 x 3) = -21
3. Negative times a Negative equals a Positive.
Ex: -4 x -5 = 4 x 5 = 20
These are going to be helpful hints when you are trying to multiply wit both positive and negative integers. I know it helped me when ever this part in the math portion of school came up. If I can do it, so can you!
Integers are very important when it comes to having to learn how to graph. Take a plain graph that looks like this. 
Then looking at this graph, it has both positive and negative integers on it so you are able to know where to make the point on your graph. Try plotting the point -3, 4. So what you would do is on the x-axis which is the line that goes straight across. You are going to be looking for the negative 3, then on the y-axis, which is the line that goes straight up and down, you are going to find the positive 4. Make the plot and there you have it.
The number system was enlarged to include, not only positive numbers, but negative numbers as well. Whole numbers such as 1, 2, 3, 4, and so on, plus the negative numbers, -1, -2, -3, -4, and so on, are called integers.
For each of the integers that are to the right of 0, there are numbers that correspond with them that are to the left of 0. Such as 1 corresponds with -1, 2 with -2, 3 with -3, and so on. It is a lot easier to make a timeline full of number 1 to 10 on the right side of 0, and -1 to -10 on the right side of the 0. You will then be able to see more clearer of what numbers correspond with what numbers.
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