Now the we recognize a tiny bit around multiplying positive and negative numbers, Let's think about how how we can divide them. Now what you'll check out is that it's actually a very comparable methodology. The if both space positive, you'll gain a optimistic answer. If one is negative, or the other, however not both, you'll obtain a an adverse answer. And if both room negative, they'll publication out and also you'll gain a optimistic answer. But let's apply and I encourage you to stop this video and shot these out yourself and then view if you get the exact same answer that I'm going to get. So eight (8) separated by negative two (-2). Therefore if I simply said eight (8) separated by two (2), that would certainly be a positive 4 (4), but because exactly one of these 2 numbers space negative, this one ideal over here, the prize is walk to be negative. Therefore eight (8) split by an unfavorable two (-2) is an unfavorable four (-4). Now negative sixteen (-16) divided by positive four (4)-- currently be really careful here. If I simply said hopeful sixteen (16) divided by positive 4 (4), that would simply be 4 (4). But since one the these 2 numbers is negative, and exactly among these 2 numbers is negative, climate I'm going to gain a negative answer. Now I have an unfavorable thirty (-30) split by negative five (-5). If I simply said thirty (30) divided by 5 (5), I'd acquire a optimistic six (6). And because I have a negative divided through a negative, the negative cancel out, so my answer will certainly still be hopeful six (6)! and I might even compose a optimistic (+) out there, ns don't have actually to, however this is a confident six (6). A an unfavorable divided by a negative, as with a an adverse times a negative, you're gonna gain a confident answer. Eighteen (18) split by two (2)! and this is a tiny bit the a trick question. This is what you knew exactly how to do prior to we even talked about negative numbers: This is a positive separated by a positive. Which is going to it is in a positive. So the is going come be same to confident nine (9). Currently we begin doing some exciting things, here's kind of a link problem. We have actually some multiplication and also some division going on. And so very first right over here, the means this is written, we're gonna wanna main point the molecule out, and if you're not acquainted with this tiny dot symbol, it's just another means of creating multiplication. Ns could've composed this tiny "x" thing over here yet what you're gonna check out in Algebra is that the dot end up being much much more common. Because the X becomes provided for other-- people don't want to confuse it with the letter X which gets provided a lot of in Algebra. That's why they supplied the dot an extremely often. For this reason this just says negative seven (-7) times three (3) in the numerator, and we're gonna take that product and divide it by an unfavorable one (-1). Therefore the numerator, an unfavorable seven (-7) times three (3), hopeful seven (7) times three (3) would be twenty-one (21), but due to the fact that exactly among these two space negative, this is going to be an adverse twenty-one (-21), that's gonna be negative twenty-one (-21) over an adverse one (-1). And so an unfavorable twenty-one (-21) split by an unfavorable one (-1), an adverse divided through a an adverse is walk to be a positive. For this reason this is walk to be a optimistic twenty-one (21). Let me write all these points down. For this reason if ns were to take it a positive separated by a negative, that's walking to it is in a negative. If I had a an unfavorable divided through a positive, that's likewise going to be a negative. If I have a an adverse divided by a negative, that's walk to provide me a positive, and if obviously a positive split by a positive, that's likewise going to provide me a positive. Now let's do this last one end here. This is in reality all multiplication, yet it's interesting, since we're multiplying 3 (3) things, which we haven't done yet. And also we can just walk from left to appropriate over here, and we could very first think about an unfavorable two (-2) times an adverse seven (-7). An unfavorable two (-2) times negative seven (-7). They room both negatives, and also negatives publication out, so this would give us, this component right end here, will offer us hopeful fourteen (14). And also so we're going come multiply optimistic fourteen (14) time this an adverse one (-1), times -1. Currently we have actually a hopeful times a negative. Specifically one of them is negative, therefore this is going come be an unfavorable answer, it's gonna offer me an unfavorable fourteen (-14). Currently let me give you a couple of more, ns guess we could contact these cheat problems. What would take place if I had zero (0) split by an unfavorable five (-5). Well this is zero an adverse fifths so zero separated by noþeles that's non-zero is just going to equal to zero. However what if it to be the other method around? What happens if we said an unfavorable five split by zero? Well, us don't understand what happens as soon as you divide things by zero. We haven't defined that. There's debates for multiple methods to conceptualize this, so we traditionally execute say the this is undefined.

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Us haven't characterized what happens once something is divided by zero. And also similarly, even when we had zero split by zero, this is still, this is still, undefined.