Now the we recognize a tiny bit about multiplying optimistic and an unfavorable numbers, Let's think around how exactly how we have the right to divide them. Currently what you'll see is the it's actually a very comparable methodology. The if both room positive, you'll gain a confident answer. If one is negative, or the other, but not both, you'll get a negative answer. And if both are negative, they'll publication out and you'll get a optimistic answer. Yet let's apply and I encourage you to pause this video clip and shot these the end yourself and then check out if you gain the very same answer the I'm going to get. For this reason eight (8) divided by negative two (-2). Therefore if I simply said eight (8) separated by 2 (2), that would certainly be a positive four (4), but because exactly one of these 2 numbers space negative, this one right over here, the answer is walk to it is in negative. Therefore eight (8) divided by an unfavorable two (-2) is negative four (-4). Now an unfavorable sixteen (-16) separated by positive 4 (4)-- now be really careful here. If I simply said hopeful sixteen (16) split by positive 4 (4), that would simply be four (4). But due to the fact that one of these two numbers is negative, and also exactly one of these 2 numbers is negative, climate I'm walk to obtain a an adverse answer. Currently I have an unfavorable thirty (-30) separated by an adverse five (-5). If I simply said thirty (30) separated by 5 (5), I'd acquire a confident six (6). And because I have a an adverse divided through a negative, the negative cancel out, so mine answer will certainly still be optimistic six (6)! and I might even compose a confident (+) out there, i don't have to, but this is a hopeful six (6). A an adverse divided by a negative, similar to a an adverse times a negative, you're gonna acquire a hopeful answer. Eighteen (18) split by two (2)! and this is a tiny bit of a trick question. This is what girlfriend knew just how to do prior to we even talked about an unfavorable numbers: This is a positive split by a positive. I m sorry is going to be a positive. So that is going to be same to positive nine (9). Currently we start doing some interesting things, here's kind of a compound problem. We have actually some multiplication and also some division going on. And also so first right over here, the way this is written, we're gonna wanna multiply the molecule out, and also if you're not acquainted with this tiny dot symbol, it's just another method of creating multiplication. I could've written this little "x" point over here but what you're gonna check out in Algebra is that the dot become much an ext common. Since the X becomes provided for other-- human being don't desire to confused it through the letter X i beg your pardon gets provided a lot of in Algebra. That's why they provided the dot an extremely often. For this reason this simply says an adverse seven (-7) times three (3) in the numerator, and also we're gonna take that product and also divide the by an unfavorable one (-1). Therefore the numerator, an unfavorable seven (-7) times 3 (3), hopeful seven (7) times 3 (3) would be twenty-one (21), but due to the fact that exactly among these two space negative, this is going to be an unfavorable twenty-one (-21), that's gonna be negative twenty-one (-21) over an adverse one (-1). And so negative twenty-one (-21) split by negative one (-1), an adverse divided through a negative is walk to it is in a positive. For this reason this is going to it is in a hopeful twenty-one (21). Permit me create all these points down. For this reason if ns were to take a positive divided by a negative, that's walk to be a negative. If I had actually a an adverse divided by a positive, that's also going to it is in a negative. If I have actually a negative divided by a negative, that's walking to provide me a positive, and also if obviously a positive divided by a positive, that's also going to provide me a positive. Now let's do this critical one end here. This is in reality all multiplication, however it's interesting, due to the fact that we're multiplying three (3) things, which us haven't excellent yet. And also we can just go from left to right over here, and we could first think about an adverse two (-2) times an adverse seven (-7). An unfavorable two (-2) times an adverse seven (-7). They space both negatives, and also negatives cancel out, for this reason this would offer us, this part right end here, will offer us positive fourteen (14). And so we're going come multiply optimistic fourteen (14) time this negative one (-1), times -1. Now we have actually a confident times a negative. Specifically one of them is negative, so this is going come be an unfavorable answer, it's gonna provide me negative fourteen (-14). Now let me give you a couple of more, ns guess we could contact these trick problems. What would happen if I had actually zero (0) split by an unfavorable five (-5). Fine this is zero an adverse fifths therefore zero divided by anything that's non-zero is simply going to equal to zero. However what if it to be the other way around? What happens if us said an adverse five split by zero? Well, we don't recognize what happens as soon as you divide things by zero. Us haven't characterized that. There's disagreements for multiple methods to conceptualize this, so us traditionally execute say the this is undefined.
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Us haven't characterized what happens when something is separated by zero. And also similarly, also when we had zero separated by zero, this is still, this is still, undefined.