 This is going to be a quick video to finding the inverses just a couple of examples couple number of examples We're going to be finding the additive Finding the additive and the multiplicative inverses of each of these numbers I notice I have them kind of categorize here's additive and here's multiplicative Okay, so I have these two numbers 12 and negative five-ninths or excuse me negative Nine-fifths, so we'll start with the 12 now. What additive I got this kind of vocabulary here a lot of vocabulary The additive inverse is what you're looking for is this is two numbers that add to get zero So if 12 is going to be one of your numbers your additive inverse is going to be a number that's going to It's going to be a number that makes it and that gets zero so that's going to be a negative 12 Okay, not too overly complicated there. It's basically just your you can also think of it as just the opposite Okay, so your additive inverses are 12 and negative 12. Okay now I underhand the multiplicative inverses Multiplicative inverses are two numbers that are going to multiply to get one. This is a little tougher So you need to take 12 times something to get one now if you really wanted to you can write an equation out of that 12 times something to get one and with that equation you could you can figure out what this x is and figure out what that number is I like to just do this logically. It really helps with them with the arithmetic So this is 12 times. What is going to give me one well 12 times one 12th is going to get me one Okay, if I have 12 on top and then 12 on bottom those are going to cancel to get me one So one 12th is your multiplicative inverse another way to see this is that 12 and one 12 They are reciprocals of one another and so for multiplicative inverses. You're looking for the reciprocal a lot of vocabulary going on there Okay, so All right down to the second example So from the first example, we could just see the additive inverse is just going to be the opposite So the opposite of negative nine-fifths is a positive nine-fifths. There's my additive inverse and then To get the multiplicative inverse what I want to do is I want to take the reciprocal of this So my reciprocal is negative five Nines notice that the negative stayed there when I multiply I have taken negative Times a negative to get a positive. Okay, and then Nine on top nine on bottom to cancel five on top five on excuse me five on top Five on bottom to cancel and everything's just going to cancel to one and so those are your multiplicative inverses All right kind of review just a little bit Additive inverses are going to be opposites of one another Multiplicative inverses here and here they're going to be reciprocals of one another That's kind of a easier way to to remember that All right, that's it. That's that's my summary for finding inverses I hope this video was helpful