And I know when I subtract negative three, I'm gonna end up at negative two. So negative five, so this negative five right over here, I can represent, I can start at zero, and I could go five units to the left. So if I have a number line, and let's say that this is zero here and I'm gonna go negative So if we think about it on a number line, let me do that right over here. And so what am I left with? I am left over here with negative two. And now I'm going to take away three of those negative integer chips. Negative integer chips, one, two, three, four and five. What is that going to be equal to? And let's think about

Now will that work the other way around? If I subtract a negative number, is that the same thingĪs adding the opposite? Let's say we had negativeįive minus negative three. Because in this case, when I subtract a positive number, it's the same thing asĪdding the opposite of it. Subtracting a positive four, you could view it asĪdding a negative four, adding a negative four. Purple arrow right over here, instead of viewing it as We could add to the nine that would get us the same result? Well, we know when weĪdd negative numbers, we also move that many units to the left. But what's another way? We could start with the nine And is there anything that So that's one way to represent what is going on as an addition To where we end up which is equal to thisįive right over here. This arrow right over here as just subtracting four, so it could just be nine minus four, which is of course equal And we have this arrow that starts exactly at the tip of that nine and then it goes, let's see, one, two, three, four units to the left. And to that, it looks like I might be adding or Looks like a positive nine, I'm starting at zero and Number lined diagram here, it looks like I'm adding

Negative minus negative 6