[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.88,0:00:05.80,Default,,0000,0000,0000,,At this point I think you know a little bit about what multiplication is.
Dialogue: 0,0:00:05.80,0:00:09.02,Default,,0000,0000,0000,,Or "multi"-plication.
Dialogue: 0,0:00:09.02,0:00:13.32,Default,,0000,0000,0000,,What we're going to do in this video is to give you just a ton of more practice,
Dialogue: 0,0:00:13.32,0:00:17.71,Default,,0000,0000,0000,,and start you on your memorization of the multiplication tables.
Dialogue: 0,0:00:17.71,0:00:20.01,Default,,0000,0000,0000,,And if you watch enough Khan Academy videos,
Dialogue: 0,0:00:20.01,0:00:21.28,Default,,0000,0000,0000,,and hopefully you will in the future,
Dialogue: 0,0:00:21.28,0:00:24.54,Default,,0000,0000,0000,,you'll realize that I'm normally not a big fan of memorization.
Dialogue: 0,0:00:24.55,0:00:26.38,Default,,0000,0000,0000,,But the one thing about multiplication
Dialogue: 0,0:00:26.38,0:00:31.22,Default,,0000,0000,0000,,is if you memorize your multiplication tables that we'll start to do in this video,
Dialogue: 0,0:00:31.22,0:00:33.85,Default,,0000,0000,0000,,it'll pay huge benefits the rest of your life.
Dialogue: 0,0:00:33.85,0:00:36.72,Default,,0000,0000,0000,,So I promise you, do it now, you'll never forget it,
Dialogue: 0,0:00:36.72,0:00:39.55,Default,,0000,0000,0000,,and the rest of your life everything will be--
Dialogue: 0,0:00:39.55,0:00:41.52,Default,,0000,0000,0000,,well, I don't want to make false promises to you,
Dialogue: 0,0:00:41.52,0:00:45.79,Default,,0000,0000,0000,,but they'll be better than if you didn't memorize your multiplication tables.
Dialogue: 0,0:00:45.79,0:00:47.29,Default,,0000,0000,0000,,So what are the multiplication tables?
Dialogue: 0,0:00:47.29,0:00:49.74,Default,,0000,0000,0000,,Well that's all of the different numbers
Dialogue: 0,0:00:49.74,0:00:50.85,Default,,0000,0000,0000,,times each other.
Dialogue: 0,0:00:50.85,0:00:53.59,Default,,0000,0000,0000,,So let's actually do a little bit of review.
Dialogue: 0,0:00:53.60,0:00:58.90,Default,,0000,0000,0000,,So if I say, what is two times one?
Dialogue: 0,0:00:58.90,0:01:02.27,Default,,0000,0000,0000,,That is equal to two plus itself one time.
Dialogue: 0,0:01:02.28,0:01:05.01,Default,,0000,0000,0000,,So this is equal to just two.
Dialogue: 0,0:01:05.01,0:01:07.06,Default,,0000,0000,0000,,That's two plus itself one time.
Dialogue: 0,0:01:07.06,0:01:08.06,Default,,0000,0000,0000,,I don't have to say plus anything
Dialogue: 0,0:01:08.06,0:01:09.43,Default,,0000,0000,0000,,because there's only one two there.
Dialogue: 0,0:01:09.43,0:01:13.46,Default,,0000,0000,0000,,I could also write this as one plus itself two times.
Dialogue: 0,0:01:13.46,0:01:15.39,Default,,0000,0000,0000,,So that's also one plus one.
Dialogue: 0,0:01:15.40,0:01:17.58,Default,,0000,0000,0000,,Well that also equals two.
Dialogue: 0,0:01:17.59,0:01:18.21,Default,,0000,0000,0000,,Fair enough.
Dialogue: 0,0:01:18.21,0:01:19.90,Default,,0000,0000,0000,,So two times one is two.
Dialogue: 0,0:01:19.90,0:01:22.72,Default,,0000,0000,0000,,And if you watched the last video, what's two times zero?
Dialogue: 0,0:01:22.72,0:01:23.52,Default,,0000,0000,0000,,Well that's zero.
Dialogue: 0,0:01:23.52,0:01:26.66,Default,,0000,0000,0000,,So you don't have to memorize your zero multiplication tables
Dialogue: 0,0:01:26.67,0:01:30.56,Default,,0000,0000,0000,,because everything times zero is zero, or zero times anything is zero.
Dialogue: 0,0:01:30.56,0:01:31.09,Default,,0000,0000,0000,,So let's see.
Dialogue: 0,0:01:31.09,0:01:33.68,Default,,0000,0000,0000,,What's two times two?
Dialogue: 0,0:01:33.68,0:01:35.99,Default,,0000,0000,0000,,Two times two.
Dialogue: 0,0:01:35.99,0:01:37.25,Default,,0000,0000,0000,,Well, this is equal to--
Dialogue: 0,0:01:37.25,0:01:39.46,Default,,0000,0000,0000,,we're going to add two to itself two times.
Dialogue: 0,0:01:39.46,0:01:41.83,Default,,0000,0000,0000,,So that's two plus two.
Dialogue: 0,0:01:41.84,0:01:42.77,Default,,0000,0000,0000,,And there's only a way to do that.
Dialogue: 0,0:01:42.78,0:01:45.48,Default,,0000,0000,0000,,I could say take this two and add it to itself two times,
Dialogue: 0,0:01:45.48,0:01:46.68,Default,,0000,0000,0000,,but it's the same thing.
Dialogue: 0,0:01:46.68,0:01:47.61,Default,,0000,0000,0000,,And what's two plus two?
Dialogue: 0,0:01:47.62,0:01:49.45,Default,,0000,0000,0000,,That's equal to four.
Dialogue: 0,0:01:49.45,0:01:51.40,Default,,0000,0000,0000,,What's two times three?
Dialogue: 0,0:01:51.40,0:01:57.90,Default,,0000,0000,0000,,Two times three is equal to two plus two plus two.
Dialogue: 0,0:01:57.90,0:02:03.36,Default,,0000,0000,0000,,It can also be equal to three plus three.
Dialogue: 0,0:02:03.36,0:02:04.90,Default,,0000,0000,0000,,We learned in a previous video
Dialogue: 0,0:02:04.92,0:02:07.50,Default,,0000,0000,0000,,this statement can be written either of these ways.
Dialogue: 0,0:02:07.50,0:02:09.38,Default,,0000,0000,0000,,And in either case, what's it equal to?
Dialogue: 0,0:02:09.40,0:02:10.28,Default,,0000,0000,0000,,Well three plus three
Dialogue: 0,0:02:10.28,0:02:12.03,Default,,0000,0000,0000,,is the same thing as two plus two plus two,
Dialogue: 0,0:02:12.03,0:02:14.77,Default,,0000,0000,0000,,and that's equal to six.
Dialogue: 0,0:02:14.77,0:02:15.81,Default,,0000,0000,0000,,All right.
Dialogue: 0,0:02:15.81,0:02:18.14,Default,,0000,0000,0000,,Now what is two times four?
Dialogue: 0,0:02:18.15,0:02:20.69,Default,,0000,0000,0000,,Two times four.
Dialogue: 0,0:02:20.69,0:02:26.06,Default,,0000,0000,0000,,Well that's equal to two plus two plus two plus two.
Dialogue: 0,0:02:26.06,0:02:29.87,Default,,0000,0000,0000,,And notice, it's exactly what two times three was.
Dialogue: 0,0:02:29.87,0:02:32.61,Default,,0000,0000,0000,,Two times three was that.
Dialogue: 0,0:02:32.62,0:02:36.49,Default,,0000,0000,0000,,I have that here, but now I'm just adding another two to it.
Dialogue: 0,0:02:36.49,0:02:39.74,Default,,0000,0000,0000,,So if we're too lazy to sit here and add two plus two is four.
Dialogue: 0,0:02:39.74,0:02:40.71,Default,,0000,0000,0000,,Four plus two is six.
Dialogue: 0,0:02:40.71,0:02:41.80,Default,,0000,0000,0000,,Instead of doing that, we could say,
Dialogue: 0,0:02:41.80,0:02:45.68,Default,,0000,0000,0000,,hey look, we already know that this thing over here, this was six.
Dialogue: 0,0:02:45.68,0:02:48.30,Default,,0000,0000,0000,,We figured it out in the previous line right there.
Dialogue: 0,0:02:48.31,0:02:51.55,Default,,0000,0000,0000,,We figured out this is six, so we could just say, oh, two times four
Dialogue: 0,0:02:51.56,0:02:55.61,Default,,0000,0000,0000,,is going to be two more than that, which is equal to eight.
Dialogue: 0,0:02:55.61,0:02:57.48,Default,,0000,0000,0000,,And you should hopefully see that pattern.
Dialogue: 0,0:02:57.49,0:03:01.91,Default,,0000,0000,0000,,As we go from two times one, to two times two,
Dialogue: 0,0:03:01.91,0:03:03.76,Default,,0000,0000,0000,,to two times three, what's happening?
Dialogue: 0,0:03:03.77,0:03:05.50,Default,,0000,0000,0000,,How much are we going up by?
Dialogue: 0,0:03:05.50,0:03:08.12,Default,,0000,0000,0000,,From two to four we're going plus two.
Dialogue: 0,0:03:08.12,0:03:11.30,Default,,0000,0000,0000,,From four to six we're going plus two.
Dialogue: 0,0:03:11.31,0:03:13.34,Default,,0000,0000,0000,,And then from six to eight we're going plus two.
Dialogue: 0,0:03:13.34,0:03:15.68,Default,,0000,0000,0000,,So you could figure out what two times five is,
Dialogue: 0,0:03:15.68,0:03:16.95,Default,,0000,0000,0000,,even without doing the addition.
Dialogue: 0,0:03:16.96,0:03:23.43,Default,,0000,0000,0000,,Two times five is equal to two plus two plus two plus two plus two.
Dialogue: 0,0:03:23.43,0:03:26.07,Default,,0000,0000,0000,,It could also be written as five plus five.
Dialogue: 0,0:03:26.08,0:03:29.11,Default,,0000,0000,0000,,Two times four could've been written as four plus four as well.
Dialogue: 0,0:03:29.12,0:03:30.49,Default,,0000,0000,0000,,And what's that equal to?
Dialogue: 0,0:03:30.50,0:03:33.09,Default,,0000,0000,0000,,We could add all of these up or we could add these two up.
Dialogue: 0,0:03:33.09,0:03:36.28,Default,,0000,0000,0000,,Or we could just say it's going to be two more than two times four.
Dialogue: 0,0:03:36.28,0:03:38.56,Default,,0000,0000,0000,,So it's going to be ten.
Dialogue: 0,0:03:38.56,0:03:41.78,Default,,0000,0000,0000,,I'll finish the two times tables.
Dialogue: 0,0:03:41.78,0:03:45.28,Default,,0000,0000,0000,,And I think you see all of the patterns that emerge from it.
Dialogue: 0,0:03:45.28,0:03:47.71,Default,,0000,0000,0000,,So two times six.
Dialogue: 0,0:03:47.71,0:03:51.58,Default,,0000,0000,0000,,That's going to be two plus itself six times.
Dialogue: 0,0:03:51.60,0:03:55.37,Default,,0000,0000,0000,,Let's see. One, two, three, four, five, six,
Dialogue: 0,0:03:55.37,0:03:58.69,Default,,0000,0000,0000,,which should also be equal to six plus itself two times.
Dialogue: 0,0:03:58.69,0:04:00.62,Default,,0000,0000,0000,,This could be interpreted either way.
Dialogue: 0,0:04:00.62,0:04:02.98,Default,,0000,0000,0000,,And that's going to be equal to twelve.
Dialogue: 0,0:04:02.99,0:04:06.90,Default,,0000,0000,0000,,Once again, two more than two times five
Dialogue: 0,0:04:06.90,0:04:09.71,Default,,0000,0000,0000,,because we're adding two to itself one more time.
Dialogue: 0,0:04:09.71,0:04:12.29,Default,,0000,0000,0000,,So it's going to be two more.
Dialogue: 0,0:04:12.30,0:04:13.88,Default,,0000,0000,0000,,Let's keep going.
Dialogue: 0,0:04:13.88,0:04:16.54,Default,,0000,0000,0000,,So two times seven.
Dialogue: 0,0:04:16.55,0:04:20.15,Default,,0000,0000,0000,,Two times seven is equal to--
Dialogue: 0,0:04:20.16,0:04:24.10,Default,,0000,0000,0000,,well, I could write two plus two plus two plus two--
Dialogue: 0,0:04:24.10,0:04:27.23,Default,,0000,0000,0000,,this is getting tiring-- plus two plus two.
Dialogue: 0,0:04:27.24,0:04:27.80,Default,,0000,0000,0000,,Is that seven?
Dialogue: 0,0:04:27.81,0:04:31.20,Default,,0000,0000,0000,,One, two, three, four, five, six, seven.
Dialogue: 0,0:04:31.20,0:04:33.85,Default,,0000,0000,0000,,And that's the same thing as seven plus seven,
Dialogue: 0,0:04:33.85,0:04:37.37,Default,,0000,0000,0000,,which you may or may not know is equal to fourteen.
Dialogue: 0,0:04:37.37,0:04:39.55,Default,,0000,0000,0000,,You could just say hey, that's going to be two more than twelve.
Dialogue: 0,0:04:39.56,0:04:43.63,Default,,0000,0000,0000,,So twelve plus one plus two is-- twelve plus one is thirteen.
Dialogue: 0,0:04:43.63,0:04:45.53,Default,,0000,0000,0000,,Twelve plus two is fourteen.
Dialogue: 0,0:04:45.54,0:04:47.58,Default,,0000,0000,0000,,All right, let's just keep going.
Dialogue: 0,0:04:47.58,0:04:50.74,Default,,0000,0000,0000,,Two times eight.
Dialogue: 0,0:04:50.75,0:04:53.81,Default,,0000,0000,0000,,I could do all of this business here where I add the twos
Dialogue: 0,0:04:53.81,0:04:56.66,Default,,0000,0000,0000,,or I could say, look, it's just going to be two more than two times seven.
Dialogue: 0,0:04:56.67,0:04:59.53,Default,,0000,0000,0000,,So I could say it's going to be fourteen plus two.
Dialogue: 0,0:04:59.53,0:05:00.47,Default,,0000,0000,0000,,I'm just adding two to that one.
Dialogue: 0,0:05:00.48,0:05:01.82,Default,,0000,0000,0000,,So I could say it's sixteen.
Dialogue: 0,0:05:01.82,0:05:05.61,Default,,0000,0000,0000,,Or I could also say that's eight plus eight.
Dialogue: 0,0:05:05.62,0:05:06.80,Default,,0000,0000,0000,,That's also sixteen.
Dialogue: 0,0:05:06.81,0:05:08.17,Default,,0000,0000,0000,,I could have done all the twos out,
Dialogue: 0,0:05:08.17,0:05:15.04,Default,,0000,0000,0000,,but if you like you could do that for your own benefit and learning.
Dialogue: 0,0:05:15.04,0:05:17.85,Default,,0000,0000,0000,,We're almost-- well, we could go forever
Dialogue: 0,0:05:17.85,0:05:19.36,Default,,0000,0000,0000,,because there is no largest number.
Dialogue: 0,0:05:19.37,0:05:21.51,Default,,0000,0000,0000,,I can keep going.
Dialogue: 0,0:05:21.51,0:05:24.97,Default,,0000,0000,0000,,Two times nine times ten times one hundred times one thousand times one million.
Dialogue: 0,0:05:24.98,0:05:26.64,Default,,0000,0000,0000,,But I'm going to stop at twelve
Dialogue: 0,0:05:26.64,0:05:28.76,Default,,0000,0000,0000,,because that tends to be what people need to memorize.
Dialogue: 0,0:05:28.77,0:05:32.33,Default,,0000,0000,0000,,But if you really want to be a "mathelete"
Dialogue: 0,0:05:32.33,0:05:34.26,Default,,0000,0000,0000,,you want to go up to twenty.
Dialogue: 0,0:05:34.26,0:05:36.79,Default,,0000,0000,0000,,But let's go to two times nine.
Dialogue: 0,0:05:36.79,0:05:38.81,Default,,0000,0000,0000,,That's going to be two more than two times eight.
Dialogue: 0,0:05:38.81,0:05:40.99,Default,,0000,0000,0000,,It's going to be eighteen.
Dialogue: 0,0:05:40.99,0:05:42.69,Default,,0000,0000,0000,,Or that's nine plus nine.
Dialogue: 0,0:05:42.69,0:05:44.06,Default,,0000,0000,0000,,Also eighteen.
Dialogue: 0,0:05:44.06,0:05:45.93,Default,,0000,0000,0000,,What's two times ten?
Dialogue: 0,0:05:45.94,0:05:47.94,Default,,0000,0000,0000,,And ten times tables are interesting.
Dialogue: 0,0:05:47.94,0:05:49.55,Default,,0000,0000,0000,,And we're going to see a pattern there in a second
Dialogue: 0,0:05:49.56,0:05:53.04,Default,,0000,0000,0000,,when we try to complete an entire times tables.
Dialogue: 0,0:05:53.04,0:05:54.64,Default,,0000,0000,0000,,So two times ten?
Dialogue: 0,0:05:54.64,0:05:56.80,Default,,0000,0000,0000,,Two more than two times nine.
Dialogue: 0,0:05:56.81,0:05:59.05,Default,,0000,0000,0000,,It's twenty.
Dialogue: 0,0:05:59.05,0:06:01.05,Default,,0000,0000,0000,,Or we could also say that's ten plus ten.
Dialogue: 0,0:06:01.06,0:06:03.36,Default,,0000,0000,0000,,Ten plus itself two times.
Dialogue: 0,0:06:03.36,0:06:05.06,Default,,0000,0000,0000,,Now what's interesting about this?
Dialogue: 0,0:06:05.06,0:06:09.12,Default,,0000,0000,0000,,This looks just like a two with a zero added.
Dialogue: 0,0:06:09.12,0:06:10.69,Default,,0000,0000,0000,,And you're going to see that with anything times ten,
Dialogue: 0,0:06:10.69,0:06:12.30,Default,,0000,0000,0000,,you just put a zero on the right.
Dialogue: 0,0:06:12.30,0:06:14.13,Default,,0000,0000,0000,,And you can think about why that is.
Dialogue: 0,0:06:14.13,0:06:16.41,Default,,0000,0000,0000,,You can view this as two tens is twenty.
Dialogue: 0,0:06:16.42,0:06:18.00,Default,,0000,0000,0000,,That's what twenty is.
Dialogue: 0,0:06:18.00,0:06:19.54,Default,,0000,0000,0000,,We're almost done.
Dialogue: 0,0:06:19.55,0:06:21.82,Default,,0000,0000,0000,,Let's do two times eleven.
Dialogue: 0,0:06:21.82,0:06:25.92,Default,,0000,0000,0000,,Two times eleven is going to be two more than this right here.
Dialogue: 0,0:06:25.93,0:06:27.83,Default,,0000,0000,0000,,It's going to be twenty-two.
Dialogue: 0,0:06:27.83,0:06:29.53,Default,,0000,0000,0000,,Another interesting pattern.
Dialogue: 0,0:06:29.54,0:06:32.22,Default,,0000,0000,0000,,I have the number repeated twice-- a two and a two.
Dialogue: 0,0:06:32.22,0:06:33.16,Default,,0000,0000,0000,,Interesting.
Dialogue: 0,0:06:33.17,0:06:35.82,Default,,0000,0000,0000,,Something to watch out for
Dialogue: 0,0:06:35.82,0:06:38.69,Default,,0000,0000,0000,,as we look at other multiplication tables.
Dialogue: 0,0:06:38.70,0:06:40.14,Default,,0000,0000,0000,,And then finally--
Dialogue: 0,0:06:40.14,0:06:42.13,Default,,0000,0000,0000,,and it's not finally, we could keep going--
Dialogue: 0,0:06:42.13,0:06:44.68,Default,,0000,0000,0000,,Two times-- that's too dark of a color.
Dialogue: 0,0:06:44.68,0:06:47.06,Default,,0000,0000,0000,,Two times twelve.
Dialogue: 0,0:06:47.06,0:06:50.54,Default,,0000,0000,0000,,Two times twelve is going to be two more than two times eleven.
Dialogue: 0,0:06:50.55,0:06:51.83,Default,,0000,0000,0000,,That's twenty-four.
Dialogue: 0,0:06:51.83,0:06:54.16,Default,,0000,0000,0000,,We could have also written that as twelve plus twelve.
Dialogue: 0,0:06:54.17,0:06:56.11,Default,,0000,0000,0000,,Or we could've said two plus two plus two plus two
Dialogue: 0,0:06:56.11,0:06:57.84,Default,,0000,0000,0000,,plus two... twelve times.
Dialogue: 0,0:06:57.85,0:06:59.66,Default,,0000,0000,0000,,It all gets you to twenty-four.
Dialogue: 0,0:06:59.67,0:07:00.96,Default,,0000,0000,0000,,So that's the two times tables
Dialogue: 0,0:07:00.96,0:07:01.97,Default,,0000,0000,0000,,and I think you see the pattern.
Dialogue: 0,0:07:01.98,0:07:04.76,Default,,0000,0000,0000,,Every time you multiply it by one higher number
Dialogue: 0,0:07:04.76,0:07:06.67,Default,,0000,0000,0000,,you just add two to that number.
Dialogue: 0,0:07:06.68,0:07:08.75,Default,,0000,0000,0000,,So now that we see that pattern,
Dialogue: 0,0:07:08.75,0:07:11.95,Default,,0000,0000,0000,,let's see if we can complete a multiplication table.
Dialogue: 0,0:07:11.95,0:07:16.26,Default,,0000,0000,0000,,So what I want to do, I'm going to write all the numbers.
Dialogue: 0,0:07:16.27,0:07:18.48,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:07:18.48,0:07:19.36,Default,,0000,0000,0000,,I hope I have space for this.
Dialogue: 0,0:07:19.36,0:07:29.43,Default,,0000,0000,0000,,One, two, three, four, five, six, seven, eight, nine.
Dialogue: 0,0:07:29.43,0:07:30.91,Default,,0000,0000,0000,,Actually, I'll just do it till nine.
Dialogue: 0,0:07:30.92,0:07:31.83,Default,,0000,0000,0000,,I'll just keep going.
Dialogue: 0,0:07:31.83,0:07:32.97,Default,,0000,0000,0000,,Nine.
Dialogue: 0,0:07:32.97,0:07:34.11,Default,,0000,0000,0000,,Actually I won't have space to do that
Dialogue: 0,0:07:34.11,0:07:35.68,Default,,0000,0000,0000,,because I want you to see the entire table.
Dialogue: 0,0:07:35.68,0:07:37.04,Default,,0000,0000,0000,,So I'm just going up till nine here,
Dialogue: 0,0:07:37.04,0:07:39.59,Default,,0000,0000,0000,,but I encourage you after this video to complete it on your own.
Dialogue: 0,0:07:39.60,0:07:42.88,Default,,0000,0000,0000,,Maybe if we have time I'll complete it here as well.
Dialogue: 0,0:07:42.88,0:07:45.89,Default,,0000,0000,0000,,So these are the first numbers that I'm going to multiply.
Dialogue: 0,0:07:45.89,0:07:52.06,Default,,0000,0000,0000,,And I'm going to multiply it times one, two, three, four,
Dialogue: 0,0:07:52.06,0:07:57.65,Default,,0000,0000,0000,,five, six, seven, eight, and nine.
Dialogue: 0,0:07:57.65,0:08:00.18,Default,,0000,0000,0000,,What I'm going to do is, I'm going to--
Dialogue: 0,0:08:00.18,0:08:01.30,Default,,0000,0000,0000,,So first of all--
Dialogue: 0,0:08:01.30,0:08:03.32,Default,,0000,0000,0000,,Actually I should have written this one under--
Dialogue: 0,0:08:03.32,0:08:04.71,Default,,0000,0000,0000,,well, what's one times one?
Dialogue: 0,0:08:04.72,0:08:06.11,Default,,0000,0000,0000,,So this is the way I'm going to view it.
Dialogue: 0,0:08:06.12,0:08:08.73,Default,,0000,0000,0000,,Whatever is one times one I'm going to write here.
Dialogue: 0,0:08:08.73,0:08:09.97,Default,,0000,0000,0000,,Well that's one.
Dialogue: 0,0:08:09.97,0:08:11.51,Default,,0000,0000,0000,,What's one times two?
Dialogue: 0,0:08:11.51,0:08:12.40,Default,,0000,0000,0000,,That's two.
Dialogue: 0,0:08:12.41,0:08:13.73,Default,,0000,0000,0000,,What's one times three?
Dialogue: 0,0:08:13.74,0:08:14.36,Default,,0000,0000,0000,,That's three.
Dialogue: 0,0:08:14.36,0:08:15.87,Default,,0000,0000,0000,,One times anything is that number,
Dialogue: 0,0:08:15.87,0:08:21.36,Default,,0000,0000,0000,,so I can just write four, five, six, seven, eight, nine.
Dialogue: 0,0:08:21.37,0:08:23.54,Default,,0000,0000,0000,,One times nine is nine.
Dialogue: 0,0:08:23.54,0:08:24.54,Default,,0000,0000,0000,,Fair enough.
Dialogue: 0,0:08:24.54,0:08:26.30,Default,,0000,0000,0000,,Now let's do the two times tables.
Dialogue: 0,0:08:26.31,0:08:27.57,Default,,0000,0000,0000,,I'll do that in a blue.
Dialogue: 0,0:08:27.57,0:08:30.27,Default,,0000,0000,0000,,Actually, let me do one in that color
Dialogue: 0,0:08:30.28,0:08:33.98,Default,,0000,0000,0000,,and now in maybe a darker blue I'll do the two times tables.
Dialogue: 0,0:08:33.99,0:08:35.25,Default,,0000,0000,0000,,What's two times one?
Dialogue: 0,0:08:35.25,0:08:36.43,Default,,0000,0000,0000,,That's two.
Dialogue: 0,0:08:36.44,0:08:37.69,Default,,0000,0000,0000,,It's the same thing as one times two.
Dialogue: 0,0:08:37.70,0:08:40.00,Default,,0000,0000,0000,,Notice, these two numbers are the same thing.
Dialogue: 0,0:08:40.00,0:08:41.70,Default,,0000,0000,0000,,What's two times two?
Dialogue: 0,0:08:41.71,0:08:43.00,Default,,0000,0000,0000,,That's four.
Dialogue: 0,0:08:43.00,0:08:44.61,Default,,0000,0000,0000,,Two times three is six.
Dialogue: 0,0:08:44.62,0:08:45.84,Default,,0000,0000,0000,,We just did this.
Dialogue: 0,0:08:45.84,0:08:49.82,Default,,0000,0000,0000,,Every time you increment or you multiply by a higher number,
Dialogue: 0,0:08:49.82,0:08:51.19,Default,,0000,0000,0000,,you just add by two.
Dialogue: 0,0:08:51.19,0:08:52.84,Default,,0000,0000,0000,,Two times four is eight.
Dialogue: 0,0:08:52.85,0:08:55.11,Default,,0000,0000,0000,,Same thing as four times two.
Dialogue: 0,0:08:55.12,0:08:57.26,Default,,0000,0000,0000,,Two times five is ten.
Dialogue: 0,0:08:57.26,0:08:59.01,Default,,0000,0000,0000,,Two times six is twelve.
Dialogue: 0,0:08:59.01,0:09:00.66,Default,,0000,0000,0000,,I'm just adding two every time.
Dialogue: 0,0:09:00.67,0:09:03.97,Default,,0000,0000,0000,,Up here I added one from every step, here I'm adding two.
Dialogue: 0,0:09:03.98,0:09:06.83,Default,,0000,0000,0000,,Two times seven, fourteen.
Dialogue: 0,0:09:06.83,0:09:09.81,Default,,0000,0000,0000,,Two times eight, sixteen.
Dialogue: 0,0:09:09.81,0:09:12.97,Default,,0000,0000,0000,,Two times nine, eighteen.
Dialogue: 0,0:09:12.98,0:09:17.79,Default,,0000,0000,0000,,All right, let's do our three times tables.
Dialogue: 0,0:09:17.79,0:09:20.51,Default,,0000,0000,0000,,I'll do it in yellow.
Dialogue: 0,0:09:20.51,0:09:21.78,Default,,0000,0000,0000,,Yellow.
Dialogue: 0,0:09:21.78,0:09:23.83,Default,,0000,0000,0000,,Three times one is three.
Dialogue: 0,0:09:23.83,0:09:25.35,Default,,0000,0000,0000,,Notice, three times one is three.
Dialogue: 0,0:09:25.36,0:09:26.91,Default,,0000,0000,0000,,One times three is three.
Dialogue: 0,0:09:26.91,0:09:28.74,Default,,0000,0000,0000,,These are the same values.
Dialogue: 0,0:09:28.75,0:09:32.16,Default,,0000,0000,0000,,Three times two is the same thing as two times three.
Dialogue: 0,0:09:32.16,0:09:37.64,Default,,0000,0000,0000,,Three times two should be the same thing as two times three.
Dialogue: 0,0:09:37.64,0:09:39.68,Default,,0000,0000,0000,,So it's six.
Dialogue: 0,0:09:39.69,0:09:40.48,Default,,0000,0000,0000,,And that makes sense.
Dialogue: 0,0:09:40.48,0:09:45.69,Default,,0000,0000,0000,,Three plus three is six or two plus two plus two is six.
Dialogue: 0,0:09:45.69,0:09:47.78,Default,,0000,0000,0000,,So every time here we're going to increase by three.
Dialogue: 0,0:09:47.78,0:09:48.88,Default,,0000,0000,0000,,You see the pattern.
Dialogue: 0,0:09:48.88,0:09:51.00,Default,,0000,0000,0000,,Three times three is nine.
Dialogue: 0,0:09:51.01,0:09:52.85,Default,,0000,0000,0000,,Three plus three plus three.
Dialogue: 0,0:09:52.85,0:09:54.72,Default,,0000,0000,0000,,So we went from three to six to nine.
Dialogue: 0,0:09:54.74,0:09:57.00,Default,,0000,0000,0000,,So three times four is going to be twelve.
Dialogue: 0,0:09:57.00,0:09:58.85,Default,,0000,0000,0000,,I'm just adding three every time.
Dialogue: 0,0:09:58.85,0:10:00.64,Default,,0000,0000,0000,,Twelve plus three is fifteen.
Dialogue: 0,0:10:00.64,0:10:03.40,Default,,0000,0000,0000,,Fifteen plus three is eighteen.
Dialogue: 0,0:10:03.40,0:10:05.58,Default,,0000,0000,0000,,Eighteen plus three is twenty-one.
Dialogue: 0,0:10:05.58,0:10:08.08,Default,,0000,0000,0000,,Twenty-one plus three is twenty-four.
Dialogue: 0,0:10:08.09,0:10:10.50,Default,,0000,0000,0000,,Twenty-four plus three is twenty-seven.
Dialogue: 0,0:10:10.50,0:10:13.11,Default,,0000,0000,0000,,So three times nine is twenty-seven.
Dialogue: 0,0:10:13.12,0:10:14.84,Default,,0000,0000,0000,,Three times eight is twenty-four.
Dialogue: 0,0:10:14.84,0:10:19.09,Default,,0000,0000,0000,,So if you were to say eight plus eight plus eight, it would be twenty-four.
Dialogue: 0,0:10:19.09,0:10:20.18,Default,,0000,0000,0000,,Let's see if I can--
Dialogue: 0,0:10:20.18,0:10:21.54,Default,,0000,0000,0000,,So now I'm going to speed it up a little bit,
Dialogue: 0,0:10:21.54,0:10:22.83,Default,,0000,0000,0000,,now that we see the pattern.
Dialogue: 0,0:10:22.84,0:10:24.09,Default,,0000,0000,0000,,And you should do this on your own
Dialogue: 0,0:10:24.09,0:10:26.97,Default,,0000,0000,0000,,and you really should memorize everything we're doing.
Dialogue: 0,0:10:26.98,0:10:30.50,Default,,0000,0000,0000,,You should actually go all the way up to twelve in both directions.
Dialogue: 0,0:10:30.50,0:10:31.06,Default,,0000,0000,0000,,So let's see.
Dialogue: 0,0:10:31.06,0:10:35.33,Default,,0000,0000,0000,,Four times one is four.
Dialogue: 0,0:10:35.33,0:10:37.64,Default,,0000,0000,0000,,I'm just going to go up by increments of four.
Dialogue: 0,0:10:37.64,0:10:40.08,Default,,0000,0000,0000,,So four plus four is eight.
Dialogue: 0,0:10:40.09,0:10:41.96,Default,,0000,0000,0000,,Eight plus four is twelve.
Dialogue: 0,0:10:41.97,0:10:43.92,Default,,0000,0000,0000,,Twelve plus four is sixteen.
Dialogue: 0,0:10:43.92,0:10:46.45,Default,,0000,0000,0000,,Sixteen plus four is twenty.
Dialogue: 0,0:10:46.46,0:10:48.46,Default,,0000,0000,0000,,Twenty plus four is twenty-four.
Dialogue: 0,0:10:48.46,0:10:51.46,Default,,0000,0000,0000,,Four times six is twenty-four.
Dialogue: 0,0:10:51.47,0:10:52.97,Default,,0000,0000,0000,,Four times seven, twenty-eight.
Dialogue: 0,0:10:52.98,0:10:54.25,Default,,0000,0000,0000,,I'm just going up by four.
Dialogue: 0,0:10:54.25,0:10:58.74,Default,,0000,0000,0000,,Thirty-two and thirty-six.
Dialogue: 0,0:10:58.75,0:11:01.49,Default,,0000,0000,0000,,All right, five times one.
Dialogue: 0,0:11:01.49,0:11:06.67,Default,,0000,0000,0000,,Five times one is going to be five.
Dialogue: 0,0:11:06.67,0:11:09.56,Default,,0000,0000,0000,,Actually, we know that anything that-- well, I want us to keep changing colors,
Dialogue: 0,0:11:09.56,0:11:11.40,Default,,0000,0000,0000,,so I'll just do it in rows like this.
Dialogue: 0,0:11:11.41,0:11:12.57,Default,,0000,0000,0000,,Five times one is five.
Dialogue: 0,0:11:12.58,0:11:15.78,Default,,0000,0000,0000,,Five times two is ten.
Dialogue: 0,0:11:15.78,0:11:17.26,Default,,0000,0000,0000,,Five times three is fifteen.
Dialogue: 0,0:11:17.26,0:11:18.43,Default,,0000,0000,0000,,I'm just going to increase by five.
Dialogue: 0,0:11:18.44,0:11:20.69,Default,,0000,0000,0000,,Five times tables are very fun as well
Dialogue: 0,0:11:20.69,0:11:24.12,Default,,0000,0000,0000,,because every number you're going to add-- if we multiply five times--
Dialogue: 0,0:11:24.12,0:11:25.87,Default,,0000,0000,0000,,well, we'll learn about even and odd in the future.
Dialogue: 0,0:11:25.88,0:11:30.24,Default,,0000,0000,0000,,But every other number in its times tables is going to end with a five,
Dialogue: 0,0:11:30.24,0:11:32.24,Default,,0000,0000,0000,,and then every other one's going to end with a zero.
Dialogue: 0,0:11:32.25,0:11:34.79,Default,,0000,0000,0000,,Because if you add five to fifteen you get twenty.
Dialogue: 0,0:11:34.79,0:11:41.87,Default,,0000,0000,0000,,You get twenty-five, thirty, thirty-five, forty, forty-five.
Dialogue: 0,0:11:41.87,0:11:43.38,Default,,0000,0000,0000,,Fair enough.
Dialogue: 0,0:11:43.38,0:11:47.12,Default,,0000,0000,0000,,Six times tables, let me do it in green.
Dialogue: 0,0:11:47.12,0:11:48.21,Default,,0000,0000,0000,,Six times one is six.
Dialogue: 0,0:11:48.22,0:11:49.08,Default,,0000,0000,0000,,That's easy.
Dialogue: 0,0:11:49.08,0:11:50.80,Default,,0000,0000,0000,,You add six to that, you get twelve.
Dialogue: 0,0:11:50.80,0:11:52.49,Default,,0000,0000,0000,,You add six to that, you get eighteen.
Dialogue: 0,0:11:52.50,0:11:54.25,Default,,0000,0000,0000,,You add six to that, you get twenty-four.
Dialogue: 0,0:11:54.25,0:11:56.22,Default,,0000,0000,0000,,You add six to that, you get thirty.
Dialogue: 0,0:11:56.22,0:12:01.22,Default,,0000,0000,0000,,Then you go six more, thirty-six, forty-two, forty-eight.
Dialogue: 0,0:12:01.22,0:12:04.62,Default,,0000,0000,0000,,Forty-eight plus six is fifty-four.
Dialogue: 0,0:12:04.62,0:12:07.62,Default,,0000,0000,0000,,So six times nine is fifty-four.
Dialogue: 0,0:12:07.62,0:12:08.99,Default,,0000,0000,0000,,All right, we're almost there.
Dialogue: 0,0:12:09.00,0:12:11.61,Default,,0000,0000,0000,,Seven times one, that's seven.
Dialogue: 0,0:12:11.62,0:12:13.52,Default,,0000,0000,0000,,Seven times one is seven.
Dialogue: 0,0:12:13.52,0:12:15.61,Default,,0000,0000,0000,,Seven times two is fourteen.
Dialogue: 0,0:12:15.62,0:12:17.74,Default,,0000,0000,0000,,Seven times three, twenty-one.
Dialogue: 0,0:12:17.74,0:12:20.04,Default,,0000,0000,0000,,Seven times four, twenty-eight.
Dialogue: 0,0:12:20.04,0:12:23.51,Default,,0000,0000,0000,,Seven times five, what's twenty-eight plus seven?
Dialogue: 0,0:12:23.51,0:12:25.13,Default,,0000,0000,0000,,Let's see, if you add two you get to thirty.
Dialogue: 0,0:12:25.13,0:12:27.70,Default,,0000,0000,0000,,Then you add five, it's thirty-five.
Dialogue: 0,0:12:27.71,0:12:29.48,Default,,0000,0000,0000,,Seven times six, forty-two.
Dialogue: 0,0:12:29.49,0:12:32.64,Default,,0000,0000,0000,,Seven times seven, forty-nine.
Dialogue: 0,0:12:32.64,0:12:34.78,Default,,0000,0000,0000,,Seven times eight--
Dialogue: 0,0:12:34.78,0:12:37.83,Default,,0000,0000,0000,,seven times is going to be seven plus this, so it's fifty-six.
Dialogue: 0,0:12:37.83,0:12:41.58,Default,,0000,0000,0000,,I always used to get confused between seven times eight being fifty-six
Dialogue: 0,0:12:41.59,0:12:43.61,Default,,0000,0000,0000,,and six times nine being fifty-four.
Dialogue: 0,0:12:43.62,0:12:46.70,Default,,0000,0000,0000,,So now that I pointed out to you that I always got confused between those two,
Dialogue: 0,0:12:46.70,0:12:49.39,Default,,0000,0000,0000,,it's your job not to be confused by those two.
Dialogue: 0,0:12:49.39,0:12:52.61,Default,,0000,0000,0000,,Seven times eight you could say has the six in it.
Dialogue: 0,0:12:52.62,0:12:54.85,Default,,0000,0000,0000,,Six times nine doesn't have the six in it.
Dialogue: 0,0:12:54.85,0:12:56.08,Default,,0000,0000,0000,,That's the way I think of it.
Dialogue: 0,0:12:56.08,0:12:57.58,Default,,0000,0000,0000,,Anyway, seven times nine.
Dialogue: 0,0:12:57.58,0:12:59.32,Default,,0000,0000,0000,,We're going to add another seven here.
Dialogue: 0,0:12:59.32,0:13:01.15,Default,,0000,0000,0000,,It's going to be sixty-three.
Dialogue: 0,0:13:01.15,0:13:04.83,Default,,0000,0000,0000,,I'll do it in the same color.
Dialogue: 0,0:13:04.84,0:13:08.35,Default,,0000,0000,0000,,All right, we're at our eight times tables.
Dialogue: 0,0:13:08.36,0:13:10.66,Default,,0000,0000,0000,,Eight times one is eight.
Dialogue: 0,0:13:10.66,0:13:12.52,Default,,0000,0000,0000,,Eight times two is sixteen.
Dialogue: 0,0:13:12.52,0:13:14.09,Default,,0000,0000,0000,,Twenty-four.
Dialogue: 0,0:13:14.10,0:13:15.69,Default,,0000,0000,0000,,Eight times three is twenty-four.
Dialogue: 0,0:13:15.69,0:13:18.30,Default,,0000,0000,0000,,And if we go to three times eight we should also see the twenty-four.
Dialogue: 0,0:13:18.30,0:13:19.50,Default,,0000,0000,0000,,Yep, it's there.
Dialogue: 0,0:13:19.50,0:13:21.11,Default,,0000,0000,0000,,These values are the same.
Dialogue: 0,0:13:21.12,0:13:22.80,Default,,0000,0000,0000,,So we're actually doing things twice.
Dialogue: 0,0:13:22.80,0:13:24.85,Default,,0000,0000,0000,,We're doing it when you do eight times three
Dialogue: 0,0:13:24.85,0:13:27.47,Default,,0000,0000,0000,,and we're doing it when we did three times eight.
Dialogue: 0,0:13:27.47,0:13:31.21,Default,,0000,0000,0000,,Let's see, eight times four, you're going to add eight to it-- thirty-two.
Dialogue: 0,0:13:31.22,0:13:32.48,Default,,0000,0000,0000,,Forty.
Dialogue: 0,0:13:32.49,0:13:34.69,Default,,0000,0000,0000,,Add another eight, forty-eight.
Dialogue: 0,0:13:34.69,0:13:37.27,Default,,0000,0000,0000,,Notice, eight times six, forty-eight.
Dialogue: 0,0:13:37.27,0:13:40.23,Default,,0000,0000,0000,,Six times eight, forty-eight.
Dialogue: 0,0:13:40.24,0:13:42.45,Default,,0000,0000,0000,,All right, eight times seven.
Dialogue: 0,0:13:42.45,0:13:45.86,Default,,0000,0000,0000,,Well, we already pointed that one out, that was fifty-six.
Dialogue: 0,0:13:45.87,0:13:48.20,Default,,0000,0000,0000,,Eight times eight, sixty-four.
Dialogue: 0,0:13:48.20,0:13:52.01,Default,,0000,0000,0000,,Eight times nine, add eight to this, is seventy-two.
Dialogue: 0,0:13:52.01,0:13:54.64,Default,,0000,0000,0000,,Now we're at the nine times tables.
Dialogue: 0,0:13:54.65,0:13:57.26,Default,,0000,0000,0000,,I'm running out of colors.
Dialogue: 0,0:13:57.26,0:13:59.52,Default,,0000,0000,0000,,Maybe I'll reuse a color or two.
Dialogue: 0,0:13:59.53,0:14:01.10,Default,,0000,0000,0000,,I'll use the blue again.
Dialogue: 0,0:14:01.11,0:14:03.28,Default,,0000,0000,0000,,Nine times one is nine.
Dialogue: 0,0:14:03.28,0:14:06.70,Default,,0000,0000,0000,,Nine times two, eighteen nine times three-- we actually know all of these.
Dialogue: 0,0:14:06.71,0:14:08.10,Default,,0000,0000,0000,,We could look it up in the rest of the table
Dialogue: 0,0:14:08.10,0:14:11.29,Default,,0000,0000,0000,,because nine times three is the same thing as three times nine.
Dialogue: 0,0:14:11.29,0:14:13.28,Default,,0000,0000,0000,,It's twenty-seven.
Dialogue: 0,0:14:13.28,0:14:14.50,Default,,0000,0000,0000,,Add nine to that.
Dialogue: 0,0:14:14.50,0:14:18.38,Default,,0000,0000,0000,,Twenty-seven plus nine is thirty-six.
Dialogue: 0,0:14:18.39,0:14:21.52,Default,,0000,0000,0000,,Thirty-six plus nine is forty-five.
Dialogue: 0,0:14:21.53,0:14:25.33,Default,,0000,0000,0000,,Notice, every time you add nine, you go almost up by ten,
Dialogue: 0,0:14:25.33,0:14:26.22,Default,,0000,0000,0000,,but one less than that.
Dialogue: 0,0:14:26.22,0:14:29.97,Default,,0000,0000,0000,,So up by ten would be forty-six, and then one less than that is forty-five.
Dialogue: 0,0:14:29.97,0:14:32.65,Default,,0000,0000,0000,,But anyway, notice, the ones--
Dialogue: 0,0:14:32.65,0:14:33.88,Default,,0000,0000,0000,,well, I'll talk more about it in the future.
Dialogue: 0,0:14:33.89,0:14:37.51,Default,,0000,0000,0000,,But we go from a nine, eight, seven, six, five on this digit,
Dialogue: 0,0:14:37.52,0:14:38.84,Default,,0000,0000,0000,,on the second digit.
Dialogue: 0,0:14:38.84,0:14:42.51,Default,,0000,0000,0000,,And on this digit here you go one, two, three, four.
Dialogue: 0,0:14:42.51,0:14:44.01,Default,,0000,0000,0000,,So it's an interesting pattern.
Dialogue: 0,0:14:44.02,0:14:47.24,Default,,0000,0000,0000,,Another interesting pattern is the digits will add up to nine.
Dialogue: 0,0:14:47.25,0:14:49.27,Default,,0000,0000,0000,,Three plus six is nine, two plus seven is nine.
Dialogue: 0,0:14:49.27,0:14:50.83,Default,,0000,0000,0000,,We'll talk more about that in the future
Dialogue: 0,0:14:50.83,0:14:52.62,Default,,0000,0000,0000,,and maybe prove that to you.
Dialogue: 0,0:14:52.63,0:14:56.34,Default,,0000,0000,0000,,Nine times six, fifty-four.
Dialogue: 0,0:14:56.35,0:14:58.15,Default,,0000,0000,0000,,That was this one as well.
Dialogue: 0,0:14:58.15,0:15:01.72,Default,,0000,0000,0000,,Nine times seven, sixty-three.
Dialogue: 0,0:15:01.73,0:15:03.85,Default,,0000,0000,0000,,Nine times eight, seventy-two.
Dialogue: 0,0:15:03.86,0:15:05.91,Default,,0000,0000,0000,,Nine times nine is eighty-one.
Dialogue: 0,0:15:05.91,0:15:07.03,Default,,0000,0000,0000,,I don't know if you can see that.
Dialogue: 0,0:15:07.04,0:15:08.36,Default,,0000,0000,0000,,Eighty-one.
Dialogue: 0,0:15:08.37,0:15:09.48,Default,,0000,0000,0000,,There you go.
Dialogue: 0,0:15:09.48,0:15:11.08,Default,,0000,0000,0000,,Now, I could keep going.
Dialogue: 0,0:15:11.08,0:15:13.78,Default,,0000,0000,0000,,Actually, I should keep going.
Dialogue: 0,0:15:13.78,0:15:17.52,Default,,0000,0000,0000,,Well, I realize this video is already pretty long.
Dialogue: 0,0:15:17.52,0:15:19.32,Default,,0000,0000,0000,,I want you to memorize this right now
Dialogue: 0,0:15:19.32,0:15:21.20,Default,,0000,0000,0000,,because this is going to get you pretty far.
Dialogue: 0,0:15:21.21,0:15:25.54,Default,,0000,0000,0000,,In the next video I'm going to do the times tables past nine.
Dialogue: 0,0:15:25.54,0:15:26.96,Default,,0000,0000,0000,,See you soon!