 This video will talk about additive and multiplicative inverses. So the inverse just means like an opposite. And when we take a number and this opposite and add them, it will always be equal to zero. And you notice this is an A and I'm going to add a negative A. I'm going to add its opposite. And remember that negative in front of something usually means the opposite of. So here I have negative 2x. I want the opposite of negative 2x. That would be a positive 2x. So if I add then negative 2x plus 6 just to check, I definitely get zero. And if I come in here and say what is the additive inverse of one half, it would be negative one half. And when you take positive one half plus a negative one half, you get zero. Multiplicative inverse says I take a number and do its inverse, I should be able to get one. Now inverse sounds like invert. And when you invert, you turn it upside down, which is exactly what happened here. This really was A over one and we flipped it over to become one over A. And then we multiply and get A times, if we multiply here, we get A times one is A. And one times A is A, which is equal to one. So again, let's try negative 2x. What's the multiplicative inverse? Well, this is negative 2x over one. So if I flip it over, I'm going to have one over 2x. And if I multiply that by the negative or negative 2x. If I multiply by negative 2x, you can see that we're going to have negative 2x over negative 2x. And when they're exactly the same, we get one. So what's the multiplicative inverse of one half? We're going to flip it over. So it's two over one. And if I multiply that by one over two, you can see we get two over two, which is equal to one.