[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.53,0:00:01.67,Default,,0000,0000,0000,,If you've practiced Dialogue: 0,0:00:01.67,0:00:04.73,Default,,0000,0000,0000,,and hopefully, memorized your multiplication tables, Dialogue: 0,0:00:04.73,0:00:08.78,Default,,0000,0000,0000,,you'll now find out that you're prepared to do most any multiplication problem. Dialogue: 0,0:00:08.78,0:00:11.06,Default,,0000,0000,0000,,You just have to understand, Dialogue: 0,0:00:11.06,0:00:12.70,Default,,0000,0000,0000,,I guess for lack of a better word, Dialogue: 0,0:00:12.70,0:00:14.34,Default,,0000,0000,0000,,the system of how to do it. Dialogue: 0,0:00:14.35,0:00:15.84,Default,,0000,0000,0000,,But we're not just going to teach you the system, Dialogue: 0,0:00:15.84,0:00:17.76,Default,,0000,0000,0000,,we're going to show you why it works. Dialogue: 0,0:00:17.76,0:00:20.28,Default,,0000,0000,0000,,So let's start with a multiplication problem Dialogue: 0,0:00:20.28,0:00:23.42,Default,,0000,0000,0000,,that you probably think that you don't know how to do. Dialogue: 0,0:00:23.42,0:00:30.12,Default,,0000,0000,0000,,Let's do sixteen times nine. Dialogue: 0,0:00:30.12,0:00:31.86,Default,,0000,0000,0000,,Sixteen times nine. Dialogue: 0,0:00:31.86,0:00:32.86,Default,,0000,0000,0000,,And you immediately might say, Dialogue: 0,0:00:32.86,0:00:36.00,Default,,0000,0000,0000,,Sal, I haven't memorized my sixteen times tables, Dialogue: 0,0:00:36.00,0:00:38.79,Default,,0000,0000,0000,,there's no way I'm going to be able to do that problem. Dialogue: 0,0:00:38.79,0:00:41.21,Default,,0000,0000,0000,,And my answer to you is, you can absolutely do it Dialogue: 0,0:00:41.21,0:00:43.29,Default,,0000,0000,0000,,because we can break it down into problems Dialogue: 0,0:00:43.29,0:00:45.26,Default,,0000,0000,0000,,that you do know the answer to. Dialogue: 0,0:00:45.26,0:00:46.53,Default,,0000,0000,0000,,The way you do this one Dialogue: 0,0:00:46.53,0:00:49.71,Default,,0000,0000,0000,,is first multiply nine times the ones place here. Dialogue: 0,0:00:49.71,0:00:52.24,Default,,0000,0000,0000,,So you multiply nine times six. Dialogue: 0,0:00:52.25,0:00:54.82,Default,,0000,0000,0000,,And I think you know what nine times six is. Dialogue: 0,0:00:54.82,0:00:56.76,Default,,0000,0000,0000,,I'll write it down here. Dialogue: 0,0:00:56.77,0:01:01.09,Default,,0000,0000,0000,,So nine times six is fifty-four. Dialogue: 0,0:01:01.10,0:01:03.38,Default,,0000,0000,0000,,You know that from your multiplication tables. Dialogue: 0,0:01:03.38,0:01:05.86,Default,,0000,0000,0000,,And so what you do is you write fifty-four, Dialogue: 0,0:01:05.86,0:01:08.98,Default,,0000,0000,0000,,but you only write the four down here in the ones place, Dialogue: 0,0:01:08.98,0:01:11.94,Default,,0000,0000,0000,,and you carry the five. Dialogue: 0,0:01:11.94,0:01:13.71,Default,,0000,0000,0000,,That's exactly what you're doing. Dialogue: 0,0:01:13.71,0:01:17.00,Default,,0000,0000,0000,,We also use word carry when you add Dialogue: 0,0:01:17.00,0:01:19.76,Default,,0000,0000,0000,,and you kind of have an extra five to deal with, Dialogue: 0,0:01:19.76,0:01:21.11,Default,,0000,0000,0000,,but let's just call that carrying. Dialogue: 0,0:01:21.13,0:01:24.11,Default,,0000,0000,0000,,For lack of better words. Dialogue: 0,0:01:24.11,0:01:28.43,Default,,0000,0000,0000,,Now, we then multiply nine times one. Dialogue: 0,0:01:28.43,0:01:29.33,Default,,0000,0000,0000,,Nine times one. Dialogue: 0,0:01:29.33,0:01:31.16,Default,,0000,0000,0000,,Well, that's straightforward. Dialogue: 0,0:01:31.16,0:01:33.49,Default,,0000,0000,0000,,Nine times one is equal to nine. Dialogue: 0,0:01:33.50,0:01:35.65,Default,,0000,0000,0000,,Anything times one is equal to itself. Dialogue: 0,0:01:35.65,0:01:38.67,Default,,0000,0000,0000,,But we have this five sitting up here, so nine times one, Dialogue: 0,0:01:38.68,0:01:40.74,Default,,0000,0000,0000,,we have to add that five. Dialogue: 0,0:01:40.75,0:01:45.14,Default,,0000,0000,0000,,So we have to add that plus five. Dialogue: 0,0:01:45.14,0:01:47.10,Default,,0000,0000,0000,,And so what do we get? Dialogue: 0,0:01:47.10,0:01:50.16,Default,,0000,0000,0000,,So nine times one plus five Dialogue: 0,0:01:50.16,0:01:55.64,Default,,0000,0000,0000,,is nine plus five, which is fourteen. Dialogue: 0,0:01:55.64,0:01:57.70,Default,,0000,0000,0000,,Let me write it right there. Dialogue: 0,0:01:57.70,0:01:59.69,Default,,0000,0000,0000,,Fourteen. Dialogue: 0,0:01:59.69,0:02:00.59,Default,,0000,0000,0000,,And there you have it. Dialogue: 0,0:02:00.59,0:02:04.18,Default,,0000,0000,0000,,Sixteen times nine is one hundred forty-four. Dialogue: 0,0:02:04.18,0:02:06.53,Default,,0000,0000,0000,,And if you remembered your times tables up to twelve Dialogue: 0,0:02:06.53,0:02:08.44,Default,,0000,0000,0000,,you also realize that's twelve times twelve. Dialogue: 0,0:02:08.44,0:02:12.26,Default,,0000,0000,0000,,But just knowing only these two pieces of information, Dialogue: 0,0:02:12.26,0:02:14.66,Default,,0000,0000,0000,,we were able to solve a harder problem. Dialogue: 0,0:02:14.66,0:02:17.50,Default,,0000,0000,0000,,Now you might say, Okay Sal, that's a neat little trick you just did, Dialogue: 0,0:02:17.50,0:02:19.22,Default,,0000,0000,0000,,but how does it work? Dialogue: 0,0:02:19.22,0:02:20.54,Default,,0000,0000,0000,,And you should always ask that. Dialogue: 0,0:02:20.55,0:02:22.16,Default,,0000,0000,0000,,You shouldn't just take it-- Dialogue: 0,0:02:22.16,0:02:25.15,Default,,0000,0000,0000,,you shouldn't just memorize the system and assume that it works. Dialogue: 0,0:02:25.15,0:02:27.92,Default,,0000,0000,0000,,And to explain that I'm just going to rewrite these numbers. Dialogue: 0,0:02:27.93,0:02:32.87,Default,,0000,0000,0000,,I can rewrite sixteen as ten-- let me do it right here. Dialogue: 0,0:02:32.87,0:02:34.98,Default,,0000,0000,0000,,Ten plus six. Dialogue: 0,0:02:34.99,0:02:36.93,Default,,0000,0000,0000,,This is sixteen. Dialogue: 0,0:02:36.93,0:02:37.86,Default,,0000,0000,0000,,And I can rewrite nine, Dialogue: 0,0:02:37.86,0:02:40.76,Default,,0000,0000,0000,,well, I'm just going to write nine as nine. Right there. Dialogue: 0,0:02:40.77,0:02:44.19,Default,,0000,0000,0000,,And now let me do the multiplication problem. Dialogue: 0,0:02:44.19,0:02:46.96,Default,,0000,0000,0000,,I'll put a little multiplication sign out there. Dialogue: 0,0:02:46.96,0:02:50.83,Default,,0000,0000,0000,,So first I want to multiply the nine times the six. Dialogue: 0,0:02:50.84,0:02:52.81,Default,,0000,0000,0000,,And you might say, hey Sal, why did you divide it this way? Dialogue: 0,0:02:52.81,0:02:56.49,Default,,0000,0000,0000,,Well, I wanted to separate the ones place from the tens place. Dialogue: 0,0:02:56.50,0:02:59.58,Default,,0000,0000,0000,,This one here that's in the second column, Dialogue: 0,0:02:59.59,0:03:00.99,Default,,0000,0000,0000,,it isn't a one, it's a ten. Dialogue: 0,0:03:00.99,0:03:02.88,Default,,0000,0000,0000,,It's a ten plus a six, Dialogue: 0,0:03:02.88,0:03:04.39,Default,,0000,0000,0000,,so that's why I wanted to write it that way. Dialogue: 0,0:03:04.40,0:03:06.05,Default,,0000,0000,0000,,But anyway, let's do this problem. Dialogue: 0,0:03:06.06,0:03:08.31,Default,,0000,0000,0000,,So we do it the exact same way we did it before. Dialogue: 0,0:03:08.31,0:03:10.71,Default,,0000,0000,0000,,We say nine times six-- Dialogue: 0,0:03:10.71,0:03:11.84,Default,,0000,0000,0000,,let me write that down. Dialogue: 0,0:03:11.84,0:03:15.40,Default,,0000,0000,0000,,Nine times six is equal to fifty-four. Dialogue: 0,0:03:15.40,0:03:16.53,Default,,0000,0000,0000,,But instead of writing fifty-four, Dialogue: 0,0:03:16.53,0:03:21.74,Default,,0000,0000,0000,,I'm going to write that's equal to fifty plus four. Dialogue: 0,0:03:21.75,0:03:25.06,Default,,0000,0000,0000,,Nine times six is equal to fifty plus four. Dialogue: 0,0:03:25.06,0:03:27.27,Default,,0000,0000,0000,,Well, this is my ones column right here. Dialogue: 0,0:03:27.28,0:03:29.34,Default,,0000,0000,0000,,Let me make a little dotted line. Dialogue: 0,0:03:29.34,0:03:30.58,Default,,0000,0000,0000,,This is my ones column. Dialogue: 0,0:03:30.59,0:03:32.85,Default,,0000,0000,0000,,So I can only put a four down here, Dialogue: 0,0:03:32.85,0:03:35.41,Default,,0000,0000,0000,,but I need something to do with the fifty. Dialogue: 0,0:03:35.41,0:03:36.77,Default,,0000,0000,0000,,I have to put it some place Dialogue: 0,0:03:36.77,0:03:39.54,Default,,0000,0000,0000,,and just the convention or at least the way that I've learned it, Dialogue: 0,0:03:39.54,0:03:40.68,Default,,0000,0000,0000,,you put the fifty up here. Dialogue: 0,0:03:40.68,0:03:42.17,Default,,0000,0000,0000,,I could've put the fifty down here too, Dialogue: 0,0:03:42.17,0:03:46.73,Default,,0000,0000,0000,,as long as we remember that this fifty now goes into this column. Dialogue: 0,0:03:46.74,0:03:48.33,Default,,0000,0000,0000,,So you can stick the fifty over here. Dialogue: 0,0:03:48.34,0:03:50.47,Default,,0000,0000,0000,,That's what we did in the first video. Dialogue: 0,0:03:50.47,0:03:52.37,Default,,0000,0000,0000,,I just wrote a five. Dialogue: 0,0:03:52.38,0:03:55.85,Default,,0000,0000,0000,,In that first video, I just put a five here Dialogue: 0,0:03:55.85,0:03:57.83,Default,,0000,0000,0000,,because that was in the tens place. Dialogue: 0,0:03:57.84,0:03:59.83,Default,,0000,0000,0000,,A five here really means fifty. Dialogue: 0,0:03:59.83,0:04:01.71,Default,,0000,0000,0000,,A one here really means ten. Dialogue: 0,0:04:01.71,0:04:03.48,Default,,0000,0000,0000,,But now I'm writing it out, Dialogue: 0,0:04:03.48,0:04:06.62,Default,,0000,0000,0000,,so you can see that they really mean fifty and ten. Dialogue: 0,0:04:06.62,0:04:09.95,Default,,0000,0000,0000,,And then you say, what's nine times ten? Dialogue: 0,0:04:09.95,0:04:14.85,Default,,0000,0000,0000,,Nine times ten. Dialogue: 0,0:04:14.85,0:04:16.28,Default,,0000,0000,0000,,Well, you've memorized this. Dialogue: 0,0:04:16.28,0:04:18.86,Default,,0000,0000,0000,,And anything times ten is just that anything with a zero. Dialogue: 0,0:04:18.87,0:04:20.43,Default,,0000,0000,0000,,So it's ninety. Dialogue: 0,0:04:20.43,0:04:22.83,Default,,0000,0000,0000,,So it's nine times ten is ninety, Dialogue: 0,0:04:22.83,0:04:25.04,Default,,0000,0000,0000,,and then we want to add fifty to it. Dialogue: 0,0:04:25.04,0:04:26.86,Default,,0000,0000,0000,,So we want to add fifty to it. Dialogue: 0,0:04:26.87,0:04:28.71,Default,,0000,0000,0000,,What's ninety plus fifty? Dialogue: 0,0:04:28.71,0:04:33.85,Default,,0000,0000,0000,,It is one hundred forty. Dialogue: 0,0:04:33.85,0:04:35.85,Default,,0000,0000,0000,,So nine times ten is ninety, Dialogue: 0,0:04:35.85,0:04:39.01,Default,,0000,0000,0000,,plus fifty is one hundred forty. Dialogue: 0,0:04:39.01,0:04:40.54,Default,,0000,0000,0000,,And we could rewrite one hundred forty Dialogue: 0,0:04:40.54,0:04:45.62,Default,,0000,0000,0000,,as one hundred plus forty just to be consistent. Dialogue: 0,0:04:45.62,0:04:50.55,Default,,0000,0000,0000,,So what we'll do is we'll put the forty down here, Dialogue: 0,0:04:50.55,0:04:51.87,Default,,0000,0000,0000,,and then we carry the one hundred, Dialogue: 0,0:04:51.87,0:04:53.41,Default,,0000,0000,0000,,but the one hundred really doesn't go anywhere. Dialogue: 0,0:04:53.41,0:04:54.92,Default,,0000,0000,0000,,I mean we could write it up here. Dialogue: 0,0:04:54.92,0:04:57.34,Default,,0000,0000,0000,,We could put it-- Dialogue: 0,0:04:57.34,0:04:58.88,Default,,0000,0000,0000,,Well, we could write the one hundred over here. Dialogue: 0,0:04:58.88,0:05:00.25,Default,,0000,0000,0000,,We could put it over here. Dialogue: 0,0:05:00.25,0:05:02.18,Default,,0000,0000,0000,,There's a bunch of different places we could put the one hundred, Dialogue: 0,0:05:02.19,0:05:06.12,Default,,0000,0000,0000,,but the important thing is that it sticks out into this next column Dialogue: 0,0:05:06.12,0:05:07.23,Default,,0000,0000,0000,,that I haven't drawn yet. Dialogue: 0,0:05:07.24,0:05:09.02,Default,,0000,0000,0000,,So then you'll put one hundred here. Dialogue: 0,0:05:09.02,0:05:13.21,Default,,0000,0000,0000,,So our answer is one hundred plus forty plus four, Dialogue: 0,0:05:13.21,0:05:16.15,Default,,0000,0000,0000,,which is one hundred forty-four. Dialogue: 0,0:05:16.15,0:05:19.44,Default,,0000,0000,0000,,Hopefully you found that reasonably explanatory. Dialogue: 0,0:05:19.45,0:05:22.00,Default,,0000,0000,0000,,Let's try a couple of other problems, Dialogue: 0,0:05:22.00,0:05:24.86,Default,,0000,0000,0000,,because I think it's all about seeing examples. Dialogue: 0,0:05:24.87,0:05:35.16,Default,,0000,0000,0000,,So let's try fifty-five times eight. Dialogue: 0,0:05:35.16,0:05:37.77,Default,,0000,0000,0000,,Fifty-five times eight. Dialogue: 0,0:05:37.77,0:05:39.26,Default,,0000,0000,0000,,Same exercise. Dialogue: 0,0:05:39.26,0:05:40.51,Default,,0000,0000,0000,,First, you start with the eight. Dialogue: 0,0:05:40.51,0:05:41.80,Default,,0000,0000,0000,,Eight times five. Dialogue: 0,0:05:41.80,0:05:42.82,Default,,0000,0000,0000,,Let me write it down. Dialogue: 0,0:05:42.82,0:05:47.13,Default,,0000,0000,0000,,Eight times five we know is forty. Dialogue: 0,0:05:47.14,0:05:49.95,Default,,0000,0000,0000,,So eight times five, you write the zero down here. Dialogue: 0,0:05:49.95,0:05:52.84,Default,,0000,0000,0000,,It's zero plus forty. Dialogue: 0,0:05:52.85,0:05:54.82,Default,,0000,0000,0000,,And then you say eight times five again. Dialogue: 0,0:05:54.82,0:05:56.00,Default,,0000,0000,0000,,That's forty. Dialogue: 0,0:05:56.01,0:05:59.56,Default,,0000,0000,0000,,But then you add the four to here, so you get forty-four. Dialogue: 0,0:05:59.56,0:06:02.10,Default,,0000,0000,0000,,So it's four hundred forty. Dialogue: 0,0:06:02.11,0:06:04.18,Default,,0000,0000,0000,,And you can try to do it the same way I did that last one Dialogue: 0,0:06:04.18,0:06:07.17,Default,,0000,0000,0000,,where I broke it out into fifty plus five and then an eight. Dialogue: 0,0:06:07.18,0:06:08.18,Default,,0000,0000,0000,,But I think with more examples, Dialogue: 0,0:06:08.18,0:06:11.91,Default,,0000,0000,0000,,you'll see this will all become a bit of second nature to you. Dialogue: 0,0:06:11.92,0:06:14.71,Default,,0000,0000,0000,,So let me do another one in this-- Dialogue: 0,0:06:14.71,0:06:18.83,Default,,0000,0000,0000,,let me do it in this salmon. This light red, salmon color. Dialogue: 0,0:06:18.83,0:06:27.26,Default,,0000,0000,0000,,So let's say I had seventy-eight times-- let's do it times seven. Dialogue: 0,0:06:27.27,0:06:28.95,Default,,0000,0000,0000,,Eight times seven. Dialogue: 0,0:06:28.95,0:06:31.24,Default,,0000,0000,0000,,Eight times seven is fifty-six. Dialogue: 0,0:06:31.25,0:06:33.05,Default,,0000,0000,0000,,Let me write it-- this is a different problem now. Dialogue: 0,0:06:33.05,0:06:36.55,Default,,0000,0000,0000,,So eight times seven is equal to fifty-six. Dialogue: 0,0:06:36.55,0:06:40.47,Default,,0000,0000,0000,,We write the six down here, put the five up there. Dialogue: 0,0:06:40.47,0:06:43.59,Default,,0000,0000,0000,,Seven times seven is forty-nine. Dialogue: 0,0:06:43.60,0:06:46.54,Default,,0000,0000,0000,,Seven times seven is equal to forty-nine. Dialogue: 0,0:06:46.55,0:06:49.75,Default,,0000,0000,0000,,But we have to add this five up here, so you add this five. Dialogue: 0,0:06:49.75,0:06:52.04,Default,,0000,0000,0000,,What's forty-nine plus five? Dialogue: 0,0:06:52.04,0:06:53.48,Default,,0000,0000,0000,,Well, that's fifty-four. Dialogue: 0,0:06:53.49,0:06:55.58,Default,,0000,0000,0000,,So seven times seven is forty-nine. Dialogue: 0,0:06:55.58,0:06:57.96,Default,,0000,0000,0000,,Plus five is fifty-four. Dialogue: 0,0:06:57.97,0:07:01.79,Default,,0000,0000,0000,,Five hundred forty-six. Dialogue: 0,0:07:01.80,0:07:02.56,Default,,0000,0000,0000,,Ten minutes ago, Dialogue: 0,0:07:02.56,0:07:06.18,Default,,0000,0000,0000,,you probably never thought that you could figure out the seventy-eight multiplication tables, Dialogue: 0,0:07:06.18,0:07:08.19,Default,,0000,0000,0000,,but you see it's a pretty straightforward process. Dialogue: 0,0:07:08.19,0:07:09.68,Default,,0000,0000,0000,,Let's do a bunch more. Dialogue: 0,0:07:09.68,0:07:13.81,Default,,0000,0000,0000,,I'm just going to do these until we all just collapse. Dialogue: 0,0:07:13.82,0:07:16.80,Default,,0000,0000,0000,,Collapse from multiplication fatigue. Dialogue: 0,0:07:16.80,0:07:25.86,Default,,0000,0000,0000,,Let's do an eighty-nine times-- let's do it times three. Dialogue: 0,0:07:25.86,0:07:27.60,Default,,0000,0000,0000,,What's three times nine? Dialogue: 0,0:07:27.60,0:07:31.39,Default,,0000,0000,0000,,Three times nine is equal to twenty-seven. Dialogue: 0,0:07:31.39,0:07:33.07,Default,,0000,0000,0000,,Put the seven in the ones place. Dialogue: 0,0:07:33.08,0:07:35.29,Default,,0000,0000,0000,,Put the two up here in the tens place, Dialogue: 0,0:07:35.29,0:07:36.85,Default,,0000,0000,0000,,because it's twenty plus seven. Dialogue: 0,0:07:36.85,0:07:38.36,Default,,0000,0000,0000,,Two tens is twenty. Dialogue: 0,0:07:38.37,0:07:40.33,Default,,0000,0000,0000,,Plus seven is twenty-seven. Dialogue: 0,0:07:40.33,0:07:42.95,Default,,0000,0000,0000,,And then three times eight is twenty-four. Dialogue: 0,0:07:42.95,0:07:46.24,Default,,0000,0000,0000,,Three times eight is equal to twenty-four. Dialogue: 0,0:07:46.25,0:07:47.54,Default,,0000,0000,0000,,But I have this two sitting up here Dialogue: 0,0:07:47.54,0:07:49.12,Default,,0000,0000,0000,,so I'm going to have to add a two. Dialogue: 0,0:07:49.12,0:07:50.15,Default,,0000,0000,0000,,So I get twenty-six. Dialogue: 0,0:07:50.16,0:07:51.94,Default,,0000,0000,0000,,Three times eight is twenty-four. Dialogue: 0,0:07:51.94,0:07:54.51,Default,,0000,0000,0000,,Plus two is twenty-six. Dialogue: 0,0:07:54.52,0:07:57.76,Default,,0000,0000,0000,,Two hundred sixty-seven. Dialogue: 0,0:07:57.76,0:07:59.14,Default,,0000,0000,0000,,Now I'm going to do another one, Dialogue: 0,0:07:59.14,0:08:04.15,Default,,0000,0000,0000,,but I'm going to up the stakes a little bit. Dialogue: 0,0:08:04.15,0:08:06.69,Default,,0000,0000,0000,,Just when you thought you were getting comfortable with this, Dialogue: 0,0:08:06.69,0:08:09.18,Default,,0000,0000,0000,,I'm going to make you uncomfortable! Dialogue: 0,0:08:09.18,0:08:20.37,Default,,0000,0000,0000,,Let's do two hundred thirty-nine times six. Dialogue: 0,0:08:20.37,0:08:23.18,Default,,0000,0000,0000,,I thought this was a video about two-digit multiplication times one-digit. Dialogue: 0,0:08:23.18,0:08:24.71,Default,,0000,0000,0000,,Well, it is, but I just want to show you Dialogue: 0,0:08:24.71,0:08:27.99,Default,,0000,0000,0000,,that you can really do any number of digits times this one digit, Dialogue: 0,0:08:27.99,0:08:29.56,Default,,0000,0000,0000,,and it's really the same process. Dialogue: 0,0:08:29.56,0:08:32.48,Default,,0000,0000,0000,,You could probably guess how we're going to do it. Dialogue: 0,0:08:32.48,0:08:34.45,Default,,0000,0000,0000,,So what's six times nine? Dialogue: 0,0:08:34.45,0:08:35.87,Default,,0000,0000,0000,,Let me write it here. Dialogue: 0,0:08:35.87,0:08:37.87,Default,,0000,0000,0000,,Six times nine. Dialogue: 0,0:08:37.88,0:08:39.43,Default,,0000,0000,0000,,We saw this show before. Dialogue: 0,0:08:39.44,0:08:41.67,Default,,0000,0000,0000,,This is fifty-four. Dialogue: 0,0:08:41.67,0:08:45.08,Default,,0000,0000,0000,,So we put the four down here, we put the five in the tens place Dialogue: 0,0:08:45.09,0:08:48.64,Default,,0000,0000,0000,,because the fifty in fifty-four is really five tens. Dialogue: 0,0:08:48.64,0:08:49.82,Default,,0000,0000,0000,,Fair enough. Dialogue: 0,0:08:49.83,0:08:52.18,Default,,0000,0000,0000,,Now we're going to do six times three. Dialogue: 0,0:08:52.18,0:08:54.40,Default,,0000,0000,0000,,So six times three, Dialogue: 0,0:08:54.40,0:08:56.74,Default,,0000,0000,0000,,that's equal to eighteen. Dialogue: 0,0:08:56.74,0:08:58.53,Default,,0000,0000,0000,,We still have that five hanging out there, Dialogue: 0,0:08:58.53,0:09:02.18,Default,,0000,0000,0000,,so we have to add that five up there and we get-- Dialogue: 0,0:09:02.18,0:09:03.68,Default,,0000,0000,0000,,what's eighteen plus five? Dialogue: 0,0:09:03.68,0:09:10.16,Default,,0000,0000,0000,,So six times three is eighteen, plus five is twenty-three. Dialogue: 0,0:09:10.16,0:09:10.90,Default,,0000,0000,0000,,Just to be clear, Dialogue: 0,0:09:10.90,0:09:13.79,Default,,0000,0000,0000,,we didn't multiply six times three and add five. Dialogue: 0,0:09:13.79,0:09:14.64,Default,,0000,0000,0000,,We actually, Dialogue: 0,0:09:14.64,0:09:18.36,Default,,0000,0000,0000,,if you looked at where we are in our place on the problem, Dialogue: 0,0:09:18.36,0:09:19.97,Default,,0000,0000,0000,,this is actually a thirty. Dialogue: 0,0:09:19.97,0:09:21.40,Default,,0000,0000,0000,,I just happened to do a three here. Dialogue: 0,0:09:21.40,0:09:24.49,Default,,0000,0000,0000,,But this is six times thirty plus fifty. Dialogue: 0,0:09:24.50,0:09:27.83,Default,,0000,0000,0000,,Because thirty-nine is three tens or thirty. Dialogue: 0,0:09:27.83,0:09:32.20,Default,,0000,0000,0000,,So this number, actually, even though we said six times three is eighteen. Dialogue: 0,0:09:32.20,0:09:34.14,Default,,0000,0000,0000,,Plus five is twenty-three. Dialogue: 0,0:09:34.14,0:09:36.39,Default,,0000,0000,0000,,This number is really two hundred thirty. Dialogue: 0,0:09:36.40,0:09:38.79,Default,,0000,0000,0000,,So we put the three in the tens place. Dialogue: 0,0:09:38.80,0:09:41.49,Default,,0000,0000,0000,,Actually, let me do it in a different color Dialogue: 0,0:09:41.49,0:09:43.80,Default,,0000,0000,0000,,than what I did up here. Dialogue: 0,0:09:43.80,0:09:46.38,Default,,0000,0000,0000,,This is equal to twenty-three. Dialogue: 0,0:09:46.38,0:09:49.23,Default,,0000,0000,0000,,We can put the three in the tens place Dialogue: 0,0:09:49.23,0:09:52.61,Default,,0000,0000,0000,,and then put this two up here. Dialogue: 0,0:09:52.61,0:09:57.35,Default,,0000,0000,0000,,Now we're almost done, one multiplication left. Dialogue: 0,0:09:57.35,0:10:01.14,Default,,0000,0000,0000,,This is the six times the two. Dialogue: 0,0:10:01.14,0:10:02.29,Default,,0000,0000,0000,,That's an easy one. Dialogue: 0,0:10:02.30,0:10:03.49,Default,,0000,0000,0000,,That's twelve. Dialogue: 0,0:10:03.50,0:10:06.71,Default,,0000,0000,0000,,But I have this other two hanging out up here, Dialogue: 0,0:10:06.71,0:10:08.32,Default,,0000,0000,0000,,so I have to add this other two. Dialogue: 0,0:10:08.32,0:10:09.77,Default,,0000,0000,0000,,So plus two. Dialogue: 0,0:10:09.77,0:10:12.25,Default,,0000,0000,0000,,And what is that equal to? Dialogue: 0,0:10:12.25,0:10:15.02,Default,,0000,0000,0000,,That is equal to Dialogue: 0,0:10:15.02,0:10:17.36,Default,,0000,0000,0000,,twelve plus two is equal to fourteen. Dialogue: 0,0:10:17.37,0:10:18.62,Default,,0000,0000,0000,,So I write the four. Dialogue: 0,0:10:18.62,0:10:20.12,Default,,0000,0000,0000,,So six times two is twelve. Dialogue: 0,0:10:20.13,0:10:21.83,Default,,0000,0000,0000,,Plus two is fourteen. Dialogue: 0,0:10:21.84,0:10:23.50,Default,,0000,0000,0000,,I write the four down here. Dialogue: 0,0:10:23.50,0:10:25.50,Default,,0000,0000,0000,,If there was any more digits I would write the one up there, Dialogue: 0,0:10:25.50,0:10:26.74,Default,,0000,0000,0000,,but there aren't any more digits. Dialogue: 0,0:10:26.74,0:10:29.09,Default,,0000,0000,0000,,So I write the one over here. Dialogue: 0,0:10:29.09,0:10:35.21,Default,,0000,0000,0000,,So two hundred thirty-nine times six is one thousand four hundred thirty-four. Dialogue: 0,0:10:35.21,0:10:38.20,Default,,0000,0000,0000,,Let's do another one. Dialogue: 0,0:10:38.20,0:10:40.98,Default,,0000,0000,0000,,I need to get some space cleaned out. Dialogue: 0,0:10:40.98,0:10:42.87,Default,,0000,0000,0000,,And hey, while we're escalating the situation, Dialogue: 0,0:10:42.87,0:10:46.62,Default,,0000,0000,0000,,let's go to four-digits. Dialogue: 0,0:10:46.62,0:10:53.06,Default,,0000,0000,0000,,Let's do seven thousand three hundred sixty-two times-- Dialogue: 0,0:10:53.06,0:10:53.81,Default,,0000,0000,0000,,let's do a hard one. Dialogue: 0,0:10:53.81,0:10:56.21,Default,,0000,0000,0000,,Times nine. Dialogue: 0,0:10:56.22,0:10:58.32,Default,,0000,0000,0000,,So what's nine times two? Dialogue: 0,0:10:58.32,0:10:59.90,Default,,0000,0000,0000,,And I won't do this side math over here. Dialogue: 0,0:10:59.90,0:11:01.26,Default,,0000,0000,0000,,I think you're getting the pattern. Dialogue: 0,0:11:01.26,0:11:03.38,Default,,0000,0000,0000,,What's nine times two? Dialogue: 0,0:11:03.39,0:11:06.20,Default,,0000,0000,0000,,Nine times two is eighteen. Dialogue: 0,0:11:06.20,0:11:08.13,Default,,0000,0000,0000,,Eighteen. Dialogue: 0,0:11:08.14,0:11:10.12,Default,,0000,0000,0000,,Then we do nine times six. Dialogue: 0,0:11:10.13,0:11:13.96,Default,,0000,0000,0000,,Nine times six is fifty-four. Dialogue: 0,0:11:13.97,0:11:18.68,Default,,0000,0000,0000,,And fifty-four plus one is fifty-five. Dialogue: 0,0:11:18.68,0:11:20.84,Default,,0000,0000,0000,,Fifty-five. Dialogue: 0,0:11:20.84,0:11:23.25,Default,,0000,0000,0000,,What's nine times three? Dialogue: 0,0:11:23.27,0:11:27.14,Default,,0000,0000,0000,,Nine times three is twenty-seven-- if we have that memorized. Dialogue: 0,0:11:27.14,0:11:34.37,Default,,0000,0000,0000,,And then twenty-seven plus five is thirty-two. Dialogue: 0,0:11:34.37,0:11:36.35,Default,,0000,0000,0000,,Let me switch colors. Dialogue: 0,0:11:36.35,0:11:38.96,Default,,0000,0000,0000,,Thirty-two. Dialogue: 0,0:11:38.96,0:11:40.71,Default,,0000,0000,0000,,And then you have nine times seven. Dialogue: 0,0:11:40.71,0:11:44.16,Default,,0000,0000,0000,,That's sixty-three, but we have this three hanging out there. Dialogue: 0,0:11:44.16,0:11:47.35,Default,,0000,0000,0000,,So that's nine times seven is sixty-three, Dialogue: 0,0:11:47.36,0:11:50.46,Default,,0000,0000,0000,,plus three is sixty-six. Dialogue: 0,0:11:50.46,0:11:52.03,Default,,0000,0000,0000,,You write the six here, Dialogue: 0,0:11:52.03,0:11:54.55,Default,,0000,0000,0000,,and then you have no where to put the sixty in the sixty-six, Dialogue: 0,0:11:54.55,0:11:56.87,Default,,0000,0000,0000,,so you write that down here as well. Dialogue: 0,0:11:56.87,0:12:00.49,Default,,0000,0000,0000,,And so seven thousand three hundred sixty-two times nine Dialogue: 0,0:12:00.49,0:12:05.02,Default,,0000,0000,0000,,is sixty-six thousand two hundred fifty-eight. Dialogue: 0,0:12:05.02,0:12:07.20,Default,,0000,0000,0000,,Hopefully you found that useful.