Addition with carrying warmup

Voiceover:We have this bead machine that we can represent numbers with. And now I'm wondering, we could probably add with this too. It could save us some time. I haven't tried it out yet. Voiceover:That's what we're here for. Voiceover:I don't really know the process. Voiceover:It's fun to experiment. So what do you want to ask? Voiceover:Let's just start simple. Voiceover:All right. Like one digits, please, just simple. Seven plus five. Voiceover:Seven plus five, all right. So, one, two, three, four, five, six, seven. One, two, three. Voiceover:Pause. Voiceover:So seven plus three, which is ten, is the exact same thing as this right over here. Voiceover:Right. Voiceover:Now this is ten. I've only added three so far. You wanted me to add five. Voiceover:Yes. Voiceover:So I have to add four and five. So I get to ten plus two which is the same thing, which is 12. Voiceover:Ah, so this is like a carry operation, I've been told. Voiceover:Yeah, what essentially happened was, I started with the seven, and when I added three, all of a sudden I've maxed out this column here, and what I did was I re-represented this ten now in this place. So I re-represented this.ere If I was thinking about it in the way we normally add when we add numbers, you could go up to nine in a place, So you start with zero, and you can go up to nine, You can't write ten in one place, at least the way we traditionally do math. So instead, we just represent one of the next place over, so this represents ten. Voiceover:And this applies all the way up. Voiceover:I think so. Voiceover:So let me give you a quick two digit number. Voiceover:Okay. Voiceover:I followed that one. Voiceover:Okay. Voiceover:This one is confusing. 23 plus 77. Voiceover:All right. 23, so this is 20, 3. 23 plus 77. So let's think about this a little bit. 23 and then 77. So let's at the seven first. Voiceover:Okay. So we're going to add one, two, three, four, five, six, seven. And we can swap all of these in for one more of those. So far I've just added seven, and now I have to add seventy to this. Because 77, I just added seven only, now I have 70. Let's add 10, 20, 30, 40, 50, 60, 70. And I could leave it like that, but even better, I can swap all of those in for one of these. That's 100. Voiceover:Very good. Very simple way to represent the hundred. Voiceover:One, zero, zero. Voiceover:Got it.