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# Addition with carrying warmup

Video transcript

So we have this bead machine that we can represent numbers with. And now I'm wondering... we could probably add with this too; save us some time. But I haven't tried it out yet; I don't really know the process. So what do you wanna ask? Let's just start simple. Alright. One digits, please. Simple: seven plus five. Seven plus five. Alright let's see so one, two, three, four, five, six, seven; one, two, three, pause. So seven plus five, which is ten, is the exact same thing as this right over here. And so now, this is ten, so I've only added three so far. You wanted me to add five. Yes. So I have to add four and five. So I get to ten plus two which is twelve. Ah, so this is like a carrying operation, as I've been told. Yeah, well essentially what happened was, you know, I started with the seven, and when I added three, all of a sudden I've kind of maxed out this column here. And what I did is I re-represented this ten, now, in this place. So, I re-represented there. So, if I was thinking about it in a way we'd normally add when we have numbers, you could go up to nine in a place. So you'd start with zero, and then you could go up to nine, and so you can't write ten in one place, at least the way we traditionally do math, so instead, you just represent one of the next place over. So this represents ten. And this applies all the way up? I think so. So let me give you a quick two-digit number. I followed that one, but this one is confusing. So, twenty-three plus seventy-seven. Alright, so let's see. Twenty-three. This is twenty, and three. Twenty-three plus seventy-seven. So let's think about this a little bit. So, twenty-three and seventy-seven. So let's add the seven first. So we're gonna add one, two, three, four, five, six, seven; but we can swap all of these in for one more of those. So so far I've just added seven. Now I just have to add seventy to this. 'Cause seventy-seven. I just added seven only; now I have to add seven. So now let's add ten, twenty, thirty, forty, fifty, sixty, seventy; and I could leave it like that but even better, I can swap all of those in for one of these. So that's a hundred. Ah. Very good. It's a very simple way to represent the hundred. One-zero-zero. Got it.