Visualizing something-Integer multi, divide.

Hi, I have kind of an off the wall question I guess:

Adding or subtracting an integer is easily visualized from just thinking of the number being across a line/ or bar. But for some reason I don’t visually see how multiplying or dividing an integer looks.

What I mean is, I know the rule and I don’t question it. But if you think about a fraction you can actually visualize a pie or something concrete. But how do you visualize a multiplication or division of an integer?

**By the way just to be clear: I know that the rule is:**

• If BOTH integers are positive, or BOTH integers are negative, the answer is positive.

• If one integer is negative, the answer is negative.

But why can’t I see a visual picture in my head with multiplying and dividing an integer as I can adding or subtracting one? Again I know the rule I'll stick with it but I remember rules visually and I don't see the picture.

Thanks for reading!