But then we multiply it times a negative. Negative times this negative, so this whole product, a, b,Ĭ, is going to be negative. Positive times a negative, positive times a negative that Now if you multiply that product times c, positive times a negative, Multiplication in any order, but I'll just go left to right. These numbers were negative? Let's think about it, if negative, negative, negative, negative. What if I had four numbers here? What if I had times, What if I had times d here? And if I told you all of But let's keep on doing, we said, look if all of them are negative, then this thing would be negative, but that's because I And then a negative times a positive, different signs, is going If I said, "There's other ways "that I can make the product negative." If a is, let's say that a, actually let me just write it this way. This whole thing is going to be negative. So this one, if a, b, andĬ are all less than zero, then the product, a, b, c is going to be less than zero as well. Positive times a negative, which is going to be a negative. So a negative times a negative, a times b, if you do that first, and we can when we multiply these numbers. What is this product going to be equal to? Well you're going to have a Let me actually write, let me write, a, b, and c, a, b, and c, they're all What if a, b, and c were all negative? Well if there were all negative, If I were to tell you that they were all negative numbers. Times b times c is going "to be positive." "A times b would be positive,Īnd that times c is positive." Now what would happen Were all positive numbers, then you say, "OK a Were to multiply a times, and now I'm going to What we might expect? So let's say that we But I was just thinking about what happens if we multiply or divide three things, or four things, or five things, or n things together, Now all of these, we thought about if we're only multiplying A negative divided byĪ negative is positive. And here I wrote it for multiplication, but it also applies to division. Negative times a positive, that also would give So if you have a positive times a negative that would give you a negative number. Get a negative number, is if you multiply or divide That that was also going to be equal to a positive number. You had the same sign, a negative times a negative, Well that, of course, is going to be equal to a positive number that you saw that even before you learned about negative numbers. I'm just writing "pos" short for positive. Positive and negative numbers, we saw, well look, if you have a positive number times a positive number. When we first learned to multiply and divide
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