Adding with regrouping

0:00- [Voiceover] So I have two numbers here. The top number I have one, two, three 10's, and I have one, two, three, four, five ones. Three 10's five ones or 35. The second number here I have two 10's, one, two, and I have one, two, three, four, five, six, seven one's.

0:17Two tens and seven ones. Now what I want to do is I want to add all of these numbers. Well, I want to add these two numbers together. I want to add 35 + 27, or another way of thinking about it, I want to add, I want to add all of these blocks together, I want to add all of these blocks together.

0:35So, let's start, let's start in the ones place right over here. So I have five one's here. I have seven ones here. So if I add five ones to seven ones how many ones am I going to get? I'm gonna get 12 ones. I'm gonna get one, two, three, four, five, six, seven, eight, nine, 10, 11, and 12.

1:00Now you might notice a problem here. 'Cause if I take 5 + 7 I can't write the number 12 in just the ones place. I just need to have one digit. I can't have two digits there. So what can we do? Well, what we could do is take 10 of these ones and group them into a 10 and put them into the 10's place.

1:21What am I talking about? Well what we could do is, we could take one, two, three, four, five, six, seven, eight, nine, and 10. So we could take these 10 right over here and group them together into one of these bars. So let's do that. So let's group them together into one of these bars, and then stick that bar in the 10's place.

1:51So all I'm doing here... All I am doing here is, give me one second. Let's see, alright, whenever I... So all I'm doing is I'm taking these 10 right here, and I'm regrouping them into the 10's place. Sometimes this is called carrying. So instead of writing 10 one's I'm gonna write it as one 10.

2:12So instead of writing it as ten ones, I'm going to write it as one 10. So what does that do for us? Well now I only have two ones in the ones place. I only have two ones in the ones place, but now I have one more 10 in the 10's place, and I have one more 10 in the 10's place.

2:32Sometimes people call this carrying because you see 5 + 7 is 12. You write the two in the ones place and you write the one in the 10's place. Twelve is one, two. Let me make it very clear. 5 + 7 = 12, and all we did is we wrote the one here, we wrote that in the tens place.

2:56We wrote it up here so that's why it kind of looks like you are carrying it. You are putting it at a higher place, but you're just writing this in the 10's place. Up here was just an easy place to do it, but remember all we did, all we did there is we said "Look, we have five we have seven that would be 12."

3:13"We can't write a 12 in the ones place." "So, let's take 10 of those 12 and regroup them as a 10" and then we have the two left over here, but an easy way to think about it is 5 + 7 = 12, one, two. And now we can add the 10's place. We have one 10 plus three 10's plus two 10's.

3:32Well what's that going to be? Well that's going to be six 10's! 1 + 3 + 2 = 6. So let's do that. So we have, whoops wow that was... That's not what I wanted to do. Let me, that was kinda, alright. (laughs) We have one, we have two, we have three, and we have four, and we have...

4:06My computer is slowing down. Five, and we have six, six 10's. Six 10's and so what does that... What does that leave us with? One plus three plus two 10's is going to be six 10's. 35 + 27 = 62. 35 plus 27 is six 10's and two one's, 62.