[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.88,0:00:02.99,Default,,0000,0000,0000,,At this point I think you\Nknow a little bit about
Dialogue: 0,0:00:02.99,0:00:05.05,Default,,0000,0000,0000,,what multiplication is.
Dialogue: 0,0:00:08.74,0:00:11.90,Default,,0000,0000,0000,,What we're going to do in this\Nvideo is to give you just a ton
Dialogue: 0,0:00:11.90,0:00:16.66,Default,,0000,0000,0000,,of more practice and start you\Non your memorization of the
Dialogue: 0,0:00:16.66,0:00:17.94,Default,,0000,0000,0000,,multiplication tables.
Dialogue: 0,0:00:17.94,0:00:20.45,Default,,0000,0000,0000,,And if you watch enough Khan\NAcademy videos, and hopefully
Dialogue: 0,0:00:20.45,0:00:22.52,Default,,0000,0000,0000,,you will in the future, you'll\Nrealize that I'm normally not
Dialogue: 0,0:00:22.52,0:00:24.55,Default,,0000,0000,0000,,a big fan of memorization.
Dialogue: 0,0:00:24.55,0:00:26.61,Default,,0000,0000,0000,,But the one thing about\Nmultiplication is if you
Dialogue: 0,0:00:26.61,0:00:30.24,Default,,0000,0000,0000,,memorize your multiplication\Ntables that we'll start to do
Dialogue: 0,0:00:30.24,0:00:33.86,Default,,0000,0000,0000,,in this video, it'll pay huge\Nbenefits the rest of your life.
Dialogue: 0,0:00:33.86,0:00:37.57,Default,,0000,0000,0000,,So I promise you, do it now,\Nyou'll never forget it, and the
Dialogue: 0,0:00:37.57,0:00:40.27,Default,,0000,0000,0000,,rest of your life everything\Nwill be-- well, I don't want to
Dialogue: 0,0:00:40.27,0:00:42.64,Default,,0000,0000,0000,,make false promises to you, but\Nthey'll be better than if you
Dialogue: 0,0:00:42.64,0:00:45.80,Default,,0000,0000,0000,,didn't memorize your\Nmultiplication tables.
Dialogue: 0,0:00:45.80,0:00:47.30,Default,,0000,0000,0000,,So what are the\Nmultiplication tables?
Dialogue: 0,0:00:47.30,0:00:49.74,Default,,0000,0000,0000,,Well that's all of the\Ndifferent numbers
Dialogue: 0,0:00:49.74,0:00:50.86,Default,,0000,0000,0000,,times each other.
Dialogue: 0,0:00:50.86,0:00:53.60,Default,,0000,0000,0000,,So let's actually do a\Nlittle bit of review.
Dialogue: 0,0:00:53.60,0:00:58.91,Default,,0000,0000,0000,,So if I say what is 2 times 1?
Dialogue: 0,0:00:58.91,0:01:02.28,Default,,0000,0000,0000,,That is equal to 2\Nplus itself one time.
Dialogue: 0,0:01:02.28,0:01:05.01,Default,,0000,0000,0000,,So this is equal to just 2.
Dialogue: 0,0:01:05.01,0:01:07.07,Default,,0000,0000,0000,,That's 2 plus itself one time.
Dialogue: 0,0:01:07.07,0:01:08.29,Default,,0000,0000,0000,,I don't have to say plus\Nanything because there's
Dialogue: 0,0:01:08.29,0:01:09.43,Default,,0000,0000,0000,,only one 2 there.
Dialogue: 0,0:01:09.43,0:01:13.47,Default,,0000,0000,0000,,I could also write this as\N1 plus itself two times.
Dialogue: 0,0:01:13.47,0:01:15.40,Default,,0000,0000,0000,,So that's also 1 plus 1.
Dialogue: 0,0:01:15.40,0:01:17.59,Default,,0000,0000,0000,,Well that also equals 2.
Dialogue: 0,0:01:17.59,0:01:18.22,Default,,0000,0000,0000,,Fair enough.
Dialogue: 0,0:01:18.22,0:01:19.69,Default,,0000,0000,0000,,So 2 times 1 is 2.
Dialogue: 0,0:01:19.69,0:01:22.44,Default,,0000,0000,0000,,And if you watched the last\Nvideo, what's 2 times 0?
Dialogue: 0,0:01:22.44,0:01:23.48,Default,,0000,0000,0000,,Well that's 0.
Dialogue: 0,0:01:23.48,0:01:26.67,Default,,0000,0000,0000,,So you don't have to memorize\Nyour 0 multiplication tables
Dialogue: 0,0:01:26.67,0:01:30.56,Default,,0000,0000,0000,,because everything times 0 is\N0, or 0 times anything is 0.
Dialogue: 0,0:01:30.56,0:01:31.10,Default,,0000,0000,0000,,So let's see.
Dialogue: 0,0:01:31.10,0:01:32.43,Default,,0000,0000,0000,,What's 2 times 2?
Dialogue: 0,0:01:35.75,0:01:37.91,Default,,0000,0000,0000,,Well, this is equal to--\Nwe're going to add 2
Dialogue: 0,0:01:37.91,0:01:39.47,Default,,0000,0000,0000,,to itself two times.
Dialogue: 0,0:01:39.47,0:01:41.85,Default,,0000,0000,0000,,So that's 2 plus 2.
Dialogue: 0,0:01:41.85,0:01:42.78,Default,,0000,0000,0000,,And there's only a\Nway to do that.
Dialogue: 0,0:01:42.78,0:01:45.49,Default,,0000,0000,0000,,I could say take this 2 and\Nadd it to itself two times,
Dialogue: 0,0:01:45.49,0:01:46.69,Default,,0000,0000,0000,,but it's the same thing.
Dialogue: 0,0:01:46.69,0:01:47.62,Default,,0000,0000,0000,,And what's 2 plus 2?
Dialogue: 0,0:01:47.62,0:01:49.46,Default,,0000,0000,0000,,That's equal to 4.
Dialogue: 0,0:01:49.46,0:01:51.41,Default,,0000,0000,0000,,What's 2 times 3?
Dialogue: 0,0:01:51.41,0:01:57.91,Default,,0000,0000,0000,,2 times 3 is equal\Nto 2 plus 2 plus 2.
Dialogue: 0,0:01:57.91,0:02:03.37,Default,,0000,0000,0000,,It can also be\Nequal to 3 plus 3.
Dialogue: 0,0:02:03.37,0:02:06.12,Default,,0000,0000,0000,,We learned in a previous video\Nthis statement can be written
Dialogue: 0,0:02:06.12,0:02:07.16,Default,,0000,0000,0000,,either of these ways.
Dialogue: 0,0:02:07.16,0:02:09.39,Default,,0000,0000,0000,,And in either case,\Nwhat's it equal to?
Dialogue: 0,0:02:09.39,0:02:12.00,Default,,0000,0000,0000,,Well, 3 plus 3 is the same\Nthing as 2 plus 2 plus 2,
Dialogue: 0,0:02:12.00,0:02:14.78,Default,,0000,0000,0000,,and that's equal to 6.
Dialogue: 0,0:02:14.78,0:02:15.67,Default,,0000,0000,0000,,All right.
Dialogue: 0,0:02:15.67,0:02:17.44,Default,,0000,0000,0000,,Now what is 2 times 4?
Dialogue: 0,0:02:20.67,0:02:26.06,Default,,0000,0000,0000,,Well that's equal to 2\Nplus 2 plus 2 plus 2.
Dialogue: 0,0:02:26.06,0:02:29.88,Default,,0000,0000,0000,,And notice, it's exactly\Nwhat 2 times 3 was.
Dialogue: 0,0:02:29.88,0:02:32.62,Default,,0000,0000,0000,,2 times 3 was that.
Dialogue: 0,0:02:32.62,0:02:36.49,Default,,0000,0000,0000,,I have that here, but now I'm\Njust adding another 2 to it.
Dialogue: 0,0:02:36.49,0:02:39.74,Default,,0000,0000,0000,,So if we're too lazy to sit\Nhere and add 2 plus 2 is 4.
Dialogue: 0,0:02:39.74,0:02:40.72,Default,,0000,0000,0000,,4 plus 2 is 6.
Dialogue: 0,0:02:40.72,0:02:42.74,Default,,0000,0000,0000,,Instead of doing that, we could\Nsay, hey look, we already know
Dialogue: 0,0:02:42.74,0:02:45.69,Default,,0000,0000,0000,,that this thing over\Nhere, this was 6.
Dialogue: 0,0:02:45.69,0:02:48.32,Default,,0000,0000,0000,,We figured it out in the\Nprevious line right there.
Dialogue: 0,0:02:48.32,0:02:51.56,Default,,0000,0000,0000,,We figured out this is 6, so we\Ncould just say, oh, 2 times 4
Dialogue: 0,0:02:51.56,0:02:55.61,Default,,0000,0000,0000,,is going to be 2 more than\Nthat, which is equal to 8.
Dialogue: 0,0:02:55.61,0:02:57.49,Default,,0000,0000,0000,,And you should hopefully\Nsee that pattern.
Dialogue: 0,0:02:57.49,0:03:02.64,Default,,0000,0000,0000,,As we go from 2 times 1,\Nto 2 times 2, to 2 times
Dialogue: 0,0:03:02.64,0:03:03.77,Default,,0000,0000,0000,,3, what's happening?
Dialogue: 0,0:03:03.77,0:03:05.51,Default,,0000,0000,0000,,How much are we going up by?
Dialogue: 0,0:03:05.51,0:03:08.13,Default,,0000,0000,0000,,From 2 to 4 we're going plus 2.
Dialogue: 0,0:03:08.13,0:03:11.31,Default,,0000,0000,0000,,From 4 to 6 we're going plus 2.
Dialogue: 0,0:03:11.31,0:03:13.34,Default,,0000,0000,0000,,And then from 6 to 8\Nwe're going plus 2.
Dialogue: 0,0:03:13.34,0:03:16.27,Default,,0000,0000,0000,,So you could figure out what\N2 times 5 is, even without
Dialogue: 0,0:03:16.27,0:03:16.96,Default,,0000,0000,0000,,doing the addition.
Dialogue: 0,0:03:16.96,0:03:23.44,Default,,0000,0000,0000,,2 times 5 is equal to 2 plus\N2 plus 2 plus 2 plus 2.
Dialogue: 0,0:03:23.44,0:03:26.08,Default,,0000,0000,0000,,It could also be\Nwritten as 5 plus 5.
Dialogue: 0,0:03:26.08,0:03:29.12,Default,,0000,0000,0000,,2 times 4 could've been\Nwritten as 4 plus 4 as well.
Dialogue: 0,0:03:29.12,0:03:30.50,Default,,0000,0000,0000,,And what's that equal to?
Dialogue: 0,0:03:30.50,0:03:33.10,Default,,0000,0000,0000,,We could add all of these up\Nor we could add these two up.
Dialogue: 0,0:03:33.10,0:03:35.88,Default,,0000,0000,0000,,Or we could just say it's going\Nto be two more than 2 times 4.
Dialogue: 0,0:03:35.88,0:03:39.21,Default,,0000,0000,0000,,So it's going to be 10.
Dialogue: 0,0:03:39.21,0:03:41.79,Default,,0000,0000,0000,,I'll finish the 2 times tables.
Dialogue: 0,0:03:41.79,0:03:45.29,Default,,0000,0000,0000,,And I think you see all of the\Npatterns that emerge from it.
Dialogue: 0,0:03:45.29,0:03:47.72,Default,,0000,0000,0000,,So 2 times 6.
Dialogue: 0,0:03:47.72,0:03:51.59,Default,,0000,0000,0000,,That's going to be 2\Nplus itself six times.
Dialogue: 0,0:03:51.59,0:03:51.82,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:03:51.82,0:03:56.40,Default,,0000,0000,0000,,1, 2, 3, 4, 5, 6, which\Nshould also be equal to
Dialogue: 0,0:03:56.40,0:03:58.70,Default,,0000,0000,0000,,6 plus itself two times.
Dialogue: 0,0:03:58.70,0:04:00.63,Default,,0000,0000,0000,,This could be\Ninterpreted either way.
Dialogue: 0,0:04:00.63,0:04:02.99,Default,,0000,0000,0000,,And that's going to\Nbe equal to 12.
Dialogue: 0,0:04:02.99,0:04:08.17,Default,,0000,0000,0000,,Once again, two more than 2\Ntimes 5 because we're adding
Dialogue: 0,0:04:08.17,0:04:09.72,Default,,0000,0000,0000,,2 to itself one more time.
Dialogue: 0,0:04:09.72,0:04:12.30,Default,,0000,0000,0000,,So it's going to be two more.
Dialogue: 0,0:04:12.30,0:04:13.89,Default,,0000,0000,0000,,Let's keep going.
Dialogue: 0,0:04:13.89,0:04:16.55,Default,,0000,0000,0000,,So 2 times 7.
Dialogue: 0,0:04:16.55,0:04:23.45,Default,,0000,0000,0000,,2 times 7 is equal to-- well, I\Ncould write 2 plus 2 plus 2
Dialogue: 0,0:04:23.45,0:04:27.24,Default,,0000,0000,0000,,plus 2-- this is getting\Ntiring-- plus 2 plus 2.
Dialogue: 0,0:04:27.24,0:04:27.81,Default,,0000,0000,0000,,Is that 7?
Dialogue: 0,0:04:27.81,0:04:31.21,Default,,0000,0000,0000,,1, 2, 3, 4, 5, 6, 7.
Dialogue: 0,0:04:31.21,0:04:34.48,Default,,0000,0000,0000,,And that's the same thing as 7\Nplus 7, which you may or may
Dialogue: 0,0:04:34.48,0:04:37.38,Default,,0000,0000,0000,,not know is equal to 14.
Dialogue: 0,0:04:37.38,0:04:39.56,Default,,0000,0000,0000,,You could just say hey, that's\Ngoing to be two more than 12.
Dialogue: 0,0:04:39.56,0:04:43.64,Default,,0000,0000,0000,,So 12 plus 1 plus 2\Nis-- 12 plus 1 is 13.
Dialogue: 0,0:04:43.64,0:04:45.54,Default,,0000,0000,0000,,12 plus 2 is 14.
Dialogue: 0,0:04:45.54,0:04:47.59,Default,,0000,0000,0000,,All right, let's\Njust keep going.
Dialogue: 0,0:04:47.59,0:04:50.75,Default,,0000,0000,0000,,2 times 8.
Dialogue: 0,0:04:50.75,0:04:53.82,Default,,0000,0000,0000,,I could do all of this business\Nhere where I add the 2's or I
Dialogue: 0,0:04:53.82,0:04:56.67,Default,,0000,0000,0000,,could say look, it's just going\Nto be two more than 2 times 7.
Dialogue: 0,0:04:56.67,0:04:58.79,Default,,0000,0000,0000,,So I could say it's\Ngoing to be 14 plus 2.
Dialogue: 0,0:04:58.79,0:05:00.48,Default,,0000,0000,0000,,I'm just adding\Ntwo to that one.
Dialogue: 0,0:05:00.48,0:05:01.93,Default,,0000,0000,0000,,So I could say it's 16.
Dialogue: 0,0:05:01.93,0:05:05.62,Default,,0000,0000,0000,,Or I could also say\Nthat's 8 plus 8.
Dialogue: 0,0:05:05.62,0:05:06.81,Default,,0000,0000,0000,,That's also 16.
Dialogue: 0,0:05:06.81,0:05:09.42,Default,,0000,0000,0000,,I could have done all the 2's\Nout, but if you like you
Dialogue: 0,0:05:09.42,0:05:15.04,Default,,0000,0000,0000,,could do that for your\Nown benefit and learning.
Dialogue: 0,0:05:15.04,0:05:18.15,Default,,0000,0000,0000,,We're almost-- well, we could\Ngo forever because there
Dialogue: 0,0:05:18.15,0:05:19.37,Default,,0000,0000,0000,,is no largest number.
Dialogue: 0,0:05:19.37,0:05:21.52,Default,,0000,0000,0000,,I can keep going.
Dialogue: 0,0:05:21.52,0:05:24.98,Default,,0000,0000,0000,,2 times 9 times 10 times 100\Ntimes 1,000 times 1,000,000.
Dialogue: 0,0:05:24.98,0:05:27.59,Default,,0000,0000,0000,,But I'm going to stop at 12\Nbecause that tends to be what
Dialogue: 0,0:05:27.59,0:05:28.78,Default,,0000,0000,0000,,people need to memorize.
Dialogue: 0,0:05:28.78,0:05:32.34,Default,,0000,0000,0000,,But if you really want\Nto be a mathlete you
Dialogue: 0,0:05:32.34,0:05:33.67,Default,,0000,0000,0000,,want to go up to 20.
Dialogue: 0,0:05:33.67,0:05:36.79,Default,,0000,0000,0000,,But let's go to 2 times 9.
Dialogue: 0,0:05:36.79,0:05:38.82,Default,,0000,0000,0000,,That's going to be two\Nmore than 2 times 8.
Dialogue: 0,0:05:38.82,0:05:40.100,Default,,0000,0000,0000,,It's going to be 18.
Dialogue: 0,0:05:40.100,0:05:42.70,Default,,0000,0000,0000,,Or that's 9 plus 9.
Dialogue: 0,0:05:42.70,0:05:44.07,Default,,0000,0000,0000,,Also 18.
Dialogue: 0,0:05:44.07,0:05:45.95,Default,,0000,0000,0000,,What's 2 times 10?
Dialogue: 0,0:05:45.95,0:05:47.95,Default,,0000,0000,0000,,And 10 times tables\Nare interesting.
Dialogue: 0,0:05:47.95,0:05:49.56,Default,,0000,0000,0000,,And we're going to see a\Npattern there in a second
Dialogue: 0,0:05:49.56,0:05:53.04,Default,,0000,0000,0000,,when we try to complete\Nan entire times tables.
Dialogue: 0,0:05:53.04,0:05:54.65,Default,,0000,0000,0000,,So 2 times 10?
Dialogue: 0,0:05:54.65,0:05:56.81,Default,,0000,0000,0000,,Two more than 2 times 9.
Dialogue: 0,0:05:56.81,0:05:59.05,Default,,0000,0000,0000,,It's 20.
Dialogue: 0,0:05:59.05,0:06:01.06,Default,,0000,0000,0000,,Or we could also say\Nthat's 10 plus 10.
Dialogue: 0,0:06:01.06,0:06:03.36,Default,,0000,0000,0000,,10 plus itself two times.
Dialogue: 0,0:06:03.36,0:06:05.07,Default,,0000,0000,0000,,Now what's interesting\Nabout this?
Dialogue: 0,0:06:05.07,0:06:09.14,Default,,0000,0000,0000,,This looks just like\Na 2 with a 0 added.
Dialogue: 0,0:06:09.14,0:06:10.70,Default,,0000,0000,0000,,And you're going to see\Nthat anything times 10.
Dialogue: 0,0:06:10.70,0:06:12.31,Default,,0000,0000,0000,,You just put a 0 on the right.
Dialogue: 0,0:06:12.31,0:06:14.14,Default,,0000,0000,0000,,And you can think\Nabout why that is.
Dialogue: 0,0:06:14.14,0:06:16.42,Default,,0000,0000,0000,,You can view this\Nas two 10's is 20.
Dialogue: 0,0:06:16.42,0:06:18.01,Default,,0000,0000,0000,,That's what 20 is.
Dialogue: 0,0:06:18.01,0:06:19.55,Default,,0000,0000,0000,,We're almost done.
Dialogue: 0,0:06:19.55,0:06:21.83,Default,,0000,0000,0000,,Let's do 2 times 11.
Dialogue: 0,0:06:21.83,0:06:25.93,Default,,0000,0000,0000,,2 times 11 is going to be 2\Nmore than this right here.
Dialogue: 0,0:06:25.93,0:06:27.84,Default,,0000,0000,0000,,It's going to be 22.
Dialogue: 0,0:06:27.84,0:06:29.54,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\Ntwice-- a 2 and a 2.
Dialogue: 0,0:06:32.22,0:06:33.17,Default,,0000,0000,0000,,Interesting.
Dialogue: 0,0:06:33.17,0:06:37.68,Default,,0000,0000,0000,,Something to watch out\Nfor as we look at other
Dialogue: 0,0:06:37.68,0:06:38.70,Default,,0000,0000,0000,,multiplication tables.
Dialogue: 0,0:06:38.70,0:06:42.00,Default,,0000,0000,0000,,And then finally-- it's not\Nfinally, we could keep going.
Dialogue: 0,0:06:42.00,0:06:44.75,Default,,0000,0000,0000,,2 times-- that's too\Ndark of a color.
Dialogue: 0,0:06:44.75,0:06:47.14,Default,,0000,0000,0000,,2 times 12.
Dialogue: 0,0:06:47.14,0:06:50.55,Default,,0000,0000,0000,,2 times 12 is going to be\Ntwo more than 2 times 11.
Dialogue: 0,0:06:50.55,0:06:51.39,Default,,0000,0000,0000,,That's 24.
Dialogue: 0,0:06:51.39,0:06:54.17,Default,,0000,0000,0000,,We could have also written\Nthat as 12 plus 12.
Dialogue: 0,0:06:54.17,0:06:56.32,Default,,0000,0000,0000,,Or we could've said 2 plus\N2 plus 2 plus 2 plus
Dialogue: 0,0:06:56.32,0:06:57.85,Default,,0000,0000,0000,,2 twelve times.
Dialogue: 0,0:06:57.85,0:06:59.67,Default,,0000,0000,0000,,It all gets you to 24.
Dialogue: 0,0:06:59.67,0:07:01.34,Default,,0000,0000,0000,,So that's the 2 times\Ntables and I think
Dialogue: 0,0:07:01.34,0:07:01.98,Default,,0000,0000,0000,,you see the pattern.
Dialogue: 0,0:07:01.98,0:07:04.95,Default,,0000,0000,0000,,Every time you multiply it by\None higher number you just
Dialogue: 0,0:07:04.95,0:07:06.68,Default,,0000,0000,0000,,add 2 to that number.
Dialogue: 0,0:07:06.68,0:07:08.81,Default,,0000,0000,0000,,So now that we see that\Npattern, let's see
Dialogue: 0,0:07:08.81,0:07:11.96,Default,,0000,0000,0000,,if we can complete a\Nmultiplication table.
Dialogue: 0,0:07:11.96,0:07:16.28,Default,,0000,0000,0000,,So what I want to do, I'm going\Nto write all the numbers.
Dialogue: 0,0:07:16.28,0:07:17.68,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:07:17.68,0:07:19.34,Default,,0000,0000,0000,,I hope I have space for this.
Dialogue: 0,0:07:19.34,0:07:29.44,Default,,0000,0000,0000,,1, 2, 3, 4, 5, 6, 7, 8, 9.
Dialogue: 0,0:07:29.44,0:07:30.92,Default,,0000,0000,0000,,Actually, I'll just\Ndo it till 9.
Dialogue: 0,0:07:30.92,0:07:31.84,Default,,0000,0000,0000,,I'll just keep going.
Dialogue: 0,0:07:31.84,0:07:32.58,Default,,0000,0000,0000,,9.
Dialogue: 0,0:07:32.58,0:07:34.46,Default,,0000,0000,0000,,Actually I won't have space to\Ndo that because I want you
Dialogue: 0,0:07:34.46,0:07:35.69,Default,,0000,0000,0000,,to see the entire table.
Dialogue: 0,0:07:35.69,0:07:37.66,Default,,0000,0000,0000,,So I'm just going up till\N9 here, but I encourage
Dialogue: 0,0:07:37.66,0:07:39.60,Default,,0000,0000,0000,,you after this video to\Ncomplete it on your own.
Dialogue: 0,0:07:39.60,0:07:42.89,Default,,0000,0000,0000,,Maybe if we have time I'll\Ncomplete it here as well.
Dialogue: 0,0:07:42.89,0:07:45.22,Default,,0000,0000,0000,,So these are the first numbers\Nthat I'm going to multiply.
Dialogue: 0,0:07:45.22,0:07:52.07,Default,,0000,0000,0000,,And I'm going to multiply\Nit times 1, 2, 3, 4,
Dialogue: 0,0:07:52.07,0:07:57.27,Default,,0000,0000,0000,,5, 6, 7, 8, and 9.
Dialogue: 0,0:08:00.95,0:08:03.28,Default,,0000,0000,0000,,Actually I should have\Nwritten this 1 under-
Dialogue: 0,0:08:03.28,0:08:04.72,Default,,0000,0000,0000,,well, what's 1 times 1?
Dialogue: 0,0:08:04.72,0:08:06.12,Default,,0000,0000,0000,,So this is the way I'm\Ngoing to view it.
Dialogue: 0,0:08:06.12,0:08:08.73,Default,,0000,0000,0000,,Whatever is 1 times 1 I'm\Ngoing to write here.
Dialogue: 0,0:08:08.73,0:08:09.97,Default,,0000,0000,0000,,Well that's 1.
Dialogue: 0,0:08:09.97,0:08:11.52,Default,,0000,0000,0000,,What's 1 times 2?
Dialogue: 0,0:08:11.52,0:08:12.41,Default,,0000,0000,0000,,That's 2.
Dialogue: 0,0:08:12.41,0:08:13.74,Default,,0000,0000,0000,,What's 1 times 3?
Dialogue: 0,0:08:13.74,0:08:14.36,Default,,0000,0000,0000,,That's 3.
Dialogue: 0,0:08:14.36,0:08:16.22,Default,,0000,0000,0000,,1 times anything is that\Nnumber, so I can just
Dialogue: 0,0:08:16.22,0:08:21.37,Default,,0000,0000,0000,,write 4, 5, 6, 7, 8, 9.
Dialogue: 0,0:08:21.37,0:08:23.54,Default,,0000,0000,0000,,1 times 9 is 9.
Dialogue: 0,0:08:23.54,0:08:24.54,Default,,0000,0000,0000,,Fair enough.
Dialogue: 0,0:08:24.54,0:08:26.31,Default,,0000,0000,0000,,Now let's do the\N2 times tables.
Dialogue: 0,0:08:26.31,0:08:27.58,Default,,0000,0000,0000,,I'll do that in a blue.
Dialogue: 0,0:08:27.58,0:08:32.07,Default,,0000,0000,0000,,Actually, let me do 1 in that\Ncolor and now in maybe a
Dialogue: 0,0:08:32.07,0:08:33.99,Default,,0000,0000,0000,,darker blue I'll do\Nthe 2 times tables.
Dialogue: 0,0:08:33.99,0:08:35.26,Default,,0000,0000,0000,,What's 2 times 1?
Dialogue: 0,0:08:35.26,0:08:36.44,Default,,0000,0000,0000,,That's 2.
Dialogue: 0,0:08:36.44,0:08:37.70,Default,,0000,0000,0000,,It's the same thing\Nas 1 times 2.
Dialogue: 0,0:08:37.70,0:08:40.01,Default,,0000,0000,0000,,Notice, these two numbers\Nare the same thing.
Dialogue: 0,0:08:40.01,0:08:41.71,Default,,0000,0000,0000,,What's 2 times 2?
Dialogue: 0,0:08:41.71,0:08:43.01,Default,,0000,0000,0000,,That's 4.
Dialogue: 0,0:08:43.01,0:08:44.62,Default,,0000,0000,0000,,2 times 3 is 6.
Dialogue: 0,0:08:44.62,0:08:45.84,Default,,0000,0000,0000,,We just did this.
Dialogue: 0,0:08:45.84,0:08:49.60,Default,,0000,0000,0000,,Every time you increment or\Nyou multiply by a higher
Dialogue: 0,0:08:49.60,0:08:51.19,Default,,0000,0000,0000,,number, you just add by 2.
Dialogue: 0,0:08:51.19,0:08:52.85,Default,,0000,0000,0000,,2 times 4 is 8.
Dialogue: 0,0:08:52.85,0:08:55.12,Default,,0000,0000,0000,,Same thing as 4 times 2.
Dialogue: 0,0:08:55.12,0:08:57.27,Default,,0000,0000,0000,,2 times 5 is 10.
Dialogue: 0,0:08:57.27,0:08:59.02,Default,,0000,0000,0000,,2 times 6 is 12.
Dialogue: 0,0:08:59.02,0:09:00.68,Default,,0000,0000,0000,,I'm just adding 2 every time.
Dialogue: 0,0:09:00.68,0:09:03.98,Default,,0000,0000,0000,,Up here I added 1 from every\Nstep, here I'm adding 2.
Dialogue: 0,0:09:03.98,0:09:06.83,Default,,0000,0000,0000,,2 times 7, 14.
Dialogue: 0,0:09:06.83,0:09:09.50,Default,,0000,0000,0000,,2 times 8, 16.
Dialogue: 0,0:09:09.50,0:09:12.98,Default,,0000,0000,0000,,2 two times 9, 18.
Dialogue: 0,0:09:12.98,0:09:17.62,Default,,0000,0000,0000,,All right, let's do\Nour 3 times tables.
Dialogue: 0,0:09:17.62,0:09:18.41,Default,,0000,0000,0000,,I'll do it in yellow.
Dialogue: 0,0:09:21.70,0:09:23.82,Default,,0000,0000,0000,,3 times 1 is 3.
Dialogue: 0,0:09:23.82,0:09:25.36,Default,,0000,0000,0000,,Notice, 3 times 1 is 3.
Dialogue: 0,0:09:25.36,0:09:26.92,Default,,0000,0000,0000,,1 times 3 is 3.
Dialogue: 0,0:09:26.92,0:09:28.75,Default,,0000,0000,0000,,These are the same values.
Dialogue: 0,0:09:28.75,0:09:33.43,Default,,0000,0000,0000,,3 times 2 is the same\Nthing as 2 times 3.
Dialogue: 0,0:09:33.43,0:09:37.65,Default,,0000,0000,0000,,3 times 2 should be the\Nsame thing as 2 times 3.
Dialogue: 0,0:09:37.65,0:09:39.69,Default,,0000,0000,0000,,So it's 6.
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,,3 plus 3 is 6 or 2\Nplus 2 plus 2 is 6.
Dialogue: 0,0:09:45.69,0:09:47.79,Default,,0000,0000,0000,,So every time here we're\Ngoing to increase by 3.
Dialogue: 0,0:09:47.79,0:09:48.89,Default,,0000,0000,0000,,You see the pattern.
Dialogue: 0,0:09:48.89,0:09:51.02,Default,,0000,0000,0000,,3 times 3 is 9.
Dialogue: 0,0:09:51.02,0:09:52.87,Default,,0000,0000,0000,,3 plus 3 plus 3.
Dialogue: 0,0:09:52.87,0:09:54.71,Default,,0000,0000,0000,,So we went from 3 to 6 to 9.
Dialogue: 0,0:09:54.71,0:09:57.00,Default,,0000,0000,0000,,So 3 times 4 is going to be 12.
Dialogue: 0,0:09:57.00,0:09:59.00,Default,,0000,0000,0000,,I'm just adding 3 every time.
Dialogue: 0,0:09:59.00,0:10:00.69,Default,,0000,0000,0000,,12 plus 3 is 15.
Dialogue: 0,0:10:00.69,0:10:03.23,Default,,0000,0000,0000,,15 plus 3 is 18.
Dialogue: 0,0:10:03.23,0:10:05.58,Default,,0000,0000,0000,,18 plus 3 is 21.
Dialogue: 0,0:10:05.58,0:10:08.09,Default,,0000,0000,0000,,21 plus 3 is 24.
Dialogue: 0,0:10:08.09,0:10:10.51,Default,,0000,0000,0000,,24 plus 3 is 27.
Dialogue: 0,0:10:10.51,0:10:13.12,Default,,0000,0000,0000,,So 3 times 9 is 27.
Dialogue: 0,0:10:13.12,0:10:14.84,Default,,0000,0000,0000,,3 times 8 is 24.
Dialogue: 0,0:10:14.84,0:10:19.55,Default,,0000,0000,0000,,So if you were to say 8 plus\N8 plus 8, it would be 24.
Dialogue: 0,0:10:19.55,0:10:21.80,Default,,0000,0000,0000,,So now I'm going to speed it\Nup a little bit now that
Dialogue: 0,0:10:21.80,0:10:22.84,Default,,0000,0000,0000,,we see the pattern.
Dialogue: 0,0:10:22.84,0:10:25.35,Default,,0000,0000,0000,,And you should do this on your\Nown and you really should
Dialogue: 0,0:10:25.35,0:10:26.97,Default,,0000,0000,0000,,memorize everything\Nwe're doing.
Dialogue: 0,0:10:26.97,0:10:29.00,Default,,0000,0000,0000,,You should actually go\Nall the way up to 12
Dialogue: 0,0:10:29.00,0:10:30.51,Default,,0000,0000,0000,,in both directions.
Dialogue: 0,0:10:30.51,0:10:30.87,Default,,0000,0000,0000,,So let's see.
Dialogue: 0,0:10:30.87,0:10:35.33,Default,,0000,0000,0000,,4 times 1 is 4.
Dialogue: 0,0:10:35.33,0:10:37.65,Default,,0000,0000,0000,,I'm just going to go up\Nby increments of 4.
Dialogue: 0,0:10:37.65,0:10:40.09,Default,,0000,0000,0000,,So 4 plus 4 is 8.
Dialogue: 0,0:10:40.09,0:10:41.97,Default,,0000,0000,0000,,8 plus 4 is 12.
Dialogue: 0,0:10:41.97,0:10:43.93,Default,,0000,0000,0000,,12 plus 4 is 16.
Dialogue: 0,0:10:43.93,0:10:46.46,Default,,0000,0000,0000,,16 plus 4 is 20.
Dialogue: 0,0:10:46.46,0:10:48.46,Default,,0000,0000,0000,,20 plus 4 is 24.
Dialogue: 0,0:10:48.46,0:10:51.47,Default,,0000,0000,0000,,4 times 6 is 24.
Dialogue: 0,0:10:51.47,0:10:52.98,Default,,0000,0000,0000,,4 times 7, 28.
Dialogue: 0,0:10:52.98,0:10:54.26,Default,,0000,0000,0000,,I'm just going up by 4.
Dialogue: 0,0:10:54.26,0:10:58.75,Default,,0000,0000,0000,,32 and 365.
Dialogue: 0,0:10:58.75,0:11:01.49,Default,,0000,0000,0000,,All right, 5 times 1.
Dialogue: 0,0:11:01.49,0:11:06.68,Default,,0000,0000,0000,,5 times 1 is going to be 5.
Dialogue: 0,0:11:06.68,0:11:08.79,Default,,0000,0000,0000,,Actually, we know that\Nanything-- well, I want to keep
Dialogue: 0,0:11:08.79,0:11:11.42,Default,,0000,0000,0000,,changing colors, so I'll just\Ndo it in rows like this.
Dialogue: 0,0:11:11.42,0:11:12.58,Default,,0000,0000,0000,,5 times 1 is 5.
Dialogue: 0,0:11:12.58,0:11:15.79,Default,,0000,0000,0000,,5 times 2 is 10.
Dialogue: 0,0:11:15.79,0:11:17.27,Default,,0000,0000,0000,,5 times 3 is 15.
Dialogue: 0,0:11:17.27,0:11:18.44,Default,,0000,0000,0000,,I'm just going to\Nincrease by 5.
Dialogue: 0,0:11:18.44,0:11:21.21,Default,,0000,0000,0000,,5 times tables are very fun as\Nwell because every number
Dialogue: 0,0:11:21.21,0:11:24.13,Default,,0000,0000,0000,,you're going to add-- if we\Nmultiply 5 times-- well, we'll
Dialogue: 0,0:11:24.13,0:11:25.89,Default,,0000,0000,0000,,learn about even and\Nodd in the future.
Dialogue: 0,0:11:25.89,0:11:29.62,Default,,0000,0000,0000,,But every other number in its\Ntimes tables is going to end
Dialogue: 0,0:11:29.62,0:11:32.25,Default,,0000,0000,0000,,with a 5, and then every other\None's going to end with a 0.
Dialogue: 0,0:11:32.25,0:11:34.80,Default,,0000,0000,0000,,Because if you add 5\Nto 15 you get 20.
Dialogue: 0,0:11:34.80,0:11:41.45,Default,,0000,0000,0000,,You get 25, 30, 35, 40, 45.
Dialogue: 0,0:11:41.45,0:11:43.39,Default,,0000,0000,0000,,Fair enough.
Dialogue: 0,0:11:43.39,0:11:47.13,Default,,0000,0000,0000,,6 times tables, let\Nme do it in green.
Dialogue: 0,0:11:47.13,0:11:48.22,Default,,0000,0000,0000,,6 times 1 is 6.
Dialogue: 0,0:11:48.22,0:11:49.08,Default,,0000,0000,0000,,That's easy.
Dialogue: 0,0:11:49.08,0:11:50.81,Default,,0000,0000,0000,,You add 6 to that, you get 12.
Dialogue: 0,0:11:50.81,0:11:52.50,Default,,0000,0000,0000,,You add 6 to that, you get 18.
Dialogue: 0,0:11:52.50,0:11:54.25,Default,,0000,0000,0000,,You add 6 to that, you get 24.
Dialogue: 0,0:11:54.25,0:11:56.22,Default,,0000,0000,0000,,You add 6 to that, you get 30.
Dialogue: 0,0:11:56.22,0:12:01.22,Default,,0000,0000,0000,,Then you go 6 more, 36, 42, 48.
Dialogue: 0,0:12:01.22,0:12:04.63,Default,,0000,0000,0000,,48 plus 6 is 54.
Dialogue: 0,0:12:04.63,0:12:07.63,Default,,0000,0000,0000,,So 6 times 9 is 54.
Dialogue: 0,0:12:07.63,0:12:09.01,Default,,0000,0000,0000,,All right, we're almost there.
Dialogue: 0,0:12:09.01,0:12:11.62,Default,,0000,0000,0000,,7 times 1, that's 7.
Dialogue: 0,0:12:11.62,0:12:13.53,Default,,0000,0000,0000,,7 times 1 is 7.
Dialogue: 0,0:12:13.53,0:12:15.62,Default,,0000,0000,0000,,7 times 2 is 14.
Dialogue: 0,0:12:15.62,0:12:17.74,Default,,0000,0000,0000,,7 times 3, 21.
Dialogue: 0,0:12:17.74,0:12:20.05,Default,,0000,0000,0000,,7 times 4, 28.
Dialogue: 0,0:12:20.05,0:12:23.67,Default,,0000,0000,0000,,7 times 5, what's 28 plus 7?
Dialogue: 0,0:12:23.67,0:12:23.82,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:12:23.82,0:12:25.14,Default,,0000,0000,0000,,If you add 2 you get to 30.
Dialogue: 0,0:12:25.14,0:12:27.71,Default,,0000,0000,0000,,Then you have 5, 35.
Dialogue: 0,0:12:27.71,0:12:29.49,Default,,0000,0000,0000,,7 times 6, 42.
Dialogue: 0,0:12:29.49,0:12:32.65,Default,,0000,0000,0000,,7 times 7, 49.
Dialogue: 0,0:12:32.65,0:12:34.99,Default,,0000,0000,0000,,7 times 8.
Dialogue: 0,0:12:34.99,0:12:37.83,Default,,0000,0000,0000,,Seven times is going to be\N7 plus this, so it's 56.
Dialogue: 0,0:12:37.83,0:12:41.59,Default,,0000,0000,0000,,I always used to get confused\Nbetween 7 times 8 being 56
Dialogue: 0,0:12:41.59,0:12:43.62,Default,,0000,0000,0000,,and 6 times 9 being 54.
Dialogue: 0,0:12:43.62,0:12:45.69,Default,,0000,0000,0000,,So now that I pointed out to\Nyou that I always got confused
Dialogue: 0,0:12:45.69,0:12:48.23,Default,,0000,0000,0000,,between those two, it's your\Njob not to be confused
Dialogue: 0,0:12:48.23,0:12:49.40,Default,,0000,0000,0000,,by those two.
Dialogue: 0,0:12:49.40,0:12:52.62,Default,,0000,0000,0000,,7 times 8 you could\Nsay has the 6 in it.
Dialogue: 0,0:12:52.62,0:12:54.85,Default,,0000,0000,0000,,6 times 9 doesn't\Nhave the 6 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, 7 times 9.
Dialogue: 0,0:12:57.58,0:12:59.32,Default,,0000,0000,0000,,We're going to add\Nanother 7 here.
Dialogue: 0,0:12:59.32,0:13:00.66,Default,,0000,0000,0000,,It's going to be 63.
Dialogue: 0,0:13:00.66,0:13:04.84,Default,,0000,0000,0000,,I'll do it in the same color.
Dialogue: 0,0:13:04.84,0:13:08.36,Default,,0000,0000,0000,,All right, we're at\Nour 8 times tables.
Dialogue: 0,0:13:08.36,0:13:10.67,Default,,0000,0000,0000,,8 times 1 is 8.
Dialogue: 0,0:13:10.67,0:13:12.53,Default,,0000,0000,0000,,8 times 2 is 16.
Dialogue: 0,0:13:12.53,0:13:14.10,Default,,0000,0000,0000,,24.
Dialogue: 0,0:13:14.10,0:13:15.69,Default,,0000,0000,0000,,8 times 3 is 24.
Dialogue: 0,0:13:15.69,0:13:18.31,Default,,0000,0000,0000,,And if we go to 3 times 8\Nwe should also see the 24.
Dialogue: 0,0:13:18.31,0:13:19.51,Default,,0000,0000,0000,,Yep, it's there.
Dialogue: 0,0:13:19.51,0:13:21.12,Default,,0000,0000,0000,,These values are the same.
Dialogue: 0,0:13:21.12,0:13:22.81,Default,,0000,0000,0000,,So we're actually\Ndoing things twice.
Dialogue: 0,0:13:22.81,0:13:25.15,Default,,0000,0000,0000,,We're doing it when you do\N8 times 3 and we're doing
Dialogue: 0,0:13:25.15,0:13:27.48,Default,,0000,0000,0000,,it when we did 3 times 8.
Dialogue: 0,0:13:27.48,0:13:27.79,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:13:27.79,0:13:31.22,Default,,0000,0000,0000,,8 times 4, you're going\Nto add 8 to it-- 32.
Dialogue: 0,0:13:31.22,0:13:32.49,Default,,0000,0000,0000,,40.
Dialogue: 0,0:13:32.49,0:13:34.69,Default,,0000,0000,0000,,Add another 8, 48.
Dialogue: 0,0:13:34.69,0:13:37.28,Default,,0000,0000,0000,,Notice, 8 times 6, 48.
Dialogue: 0,0:13:37.28,0:13:40.24,Default,,0000,0000,0000,,6 times 8, 48.
Dialogue: 0,0:13:40.24,0:13:42.45,Default,,0000,0000,0000,,All right, 8 times 7.
Dialogue: 0,0:13:42.45,0:13:45.87,Default,,0000,0000,0000,,Well, we already pointed\Nthat one out, that was 56.
Dialogue: 0,0:13:45.87,0:13:48.20,Default,,0000,0000,0000,,8 times 8, 64.
Dialogue: 0,0:13:48.20,0:13:52.02,Default,,0000,0000,0000,,8 times 9, add 8\Nto this, is 72.
Dialogue: 0,0:13:52.02,0:13:54.66,Default,,0000,0000,0000,,Now we're at the\N9 times tables.
Dialogue: 0,0:13:54.66,0:13:57.27,Default,,0000,0000,0000,,I'm running out of colors.
Dialogue: 0,0:13:57.27,0:13:59.54,Default,,0000,0000,0000,,Maybe I'll reuse\Na color or two.
Dialogue: 0,0:13:59.54,0:14:01.11,Default,,0000,0000,0000,,I'll use the blue again.
Dialogue: 0,0:14:01.11,0:14:03.29,Default,,0000,0000,0000,,9 times 1 is 9.
Dialogue: 0,0:14:03.29,0:14:06.71,Default,,0000,0000,0000,,9 times 2, 18 9 times 3-- we\Nactually know all of these.
Dialogue: 0,0:14:06.71,0:14:09.42,Default,,0000,0000,0000,,We could look it up in the rest\Nof the table because 9 times 3
Dialogue: 0,0:14:09.42,0:14:11.30,Default,,0000,0000,0000,,is the same thing as 3 times 9.
Dialogue: 0,0:14:11.30,0:14:13.29,Default,,0000,0000,0000,,It's 27.
Dialogue: 0,0:14:13.29,0:14:14.51,Default,,0000,0000,0000,,Add 9 to that.
Dialogue: 0,0:14:14.51,0:14:18.40,Default,,0000,0000,0000,,27 plus 9 is 36.
Dialogue: 0,0:14:18.40,0:14:21.54,Default,,0000,0000,0000,,36 plus 9 is 45.
Dialogue: 0,0:14:21.54,0:14:24.91,Default,,0000,0000,0000,,Notice, every time you add\N9, you go almost up by
Dialogue: 0,0:14:24.91,0:14:26.25,Default,,0000,0000,0000,,10, but 1 less than that.
Dialogue: 0,0:14:26.25,0:14:29.97,Default,,0000,0000,0000,,So up by 10 would be 46, and\Nthen one less than that is 45.
Dialogue: 0,0:14:29.97,0:14:33.38,Default,,0000,0000,0000,,But anyway, notice, the\N1's-- well, I'll talk more
Dialogue: 0,0:14:33.38,0:14:33.90,Default,,0000,0000,0000,,about it in the future.
Dialogue: 0,0:14:33.90,0:14:37.53,Default,,0000,0000,0000,,But we go from a 9, 8,\N7, 6, 5 on this digit,
Dialogue: 0,0:14:37.53,0:14:39.25,Default,,0000,0000,0000,,on the second digit.
Dialogue: 0,0:14:39.25,0:14:42.52,Default,,0000,0000,0000,,And on this digit here\Nyou go 1, 2, 3, 4.
Dialogue: 0,0:14:42.52,0:14:44.03,Default,,0000,0000,0000,,So it's an interesting pattern.
Dialogue: 0,0:14:44.03,0:14:47.25,Default,,0000,0000,0000,,Another interesting pattern is\Nthe digits will add up to 9.
Dialogue: 0,0:14:47.25,0:14:49.28,Default,,0000,0000,0000,,3 plus 6 is 9, 2 plus 7 is 9.
Dialogue: 0,0:14:49.28,0:14:51.01,Default,,0000,0000,0000,,We'll talk more about that\Nin the future and maybe
Dialogue: 0,0:14:51.01,0:14:52.64,Default,,0000,0000,0000,,prove that to you.
Dialogue: 0,0:14:52.64,0:14:56.35,Default,,0000,0000,0000,,9 times 6, 54.
Dialogue: 0,0:14:56.35,0:14:58.16,Default,,0000,0000,0000,,That was this one as well.
Dialogue: 0,0:14:58.16,0:15:01.73,Default,,0000,0000,0000,,9 times 7, 63.
Dialogue: 0,0:15:01.73,0:15:03.86,Default,,0000,0000,0000,,9 times 8, 72.
Dialogue: 0,0:15:03.86,0:15:05.92,Default,,0000,0000,0000,,9 times 9 is 81.
Dialogue: 0,0:15:05.92,0:15:07.05,Default,,0000,0000,0000,,I don't know if\Nyou can see that.
Dialogue: 0,0:15:07.05,0:15:08.37,Default,,0000,0000,0000,,81.
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: 0,0:15:11.08,0:15:13.79,Default,,0000,0000,0000,,Actually, I should keep going.
Dialogue: 0,0:15:13.79,0:15:17.55,Default,,0000,0000,0000,,Well, I realize this video\Nis already pretty long.
Dialogue: 0,0:15:17.55,0:15:19.68,Default,,0000,0000,0000,,I want you to memorize this\Nright now because this is
Dialogue: 0,0:15:19.68,0:15:21.21,Default,,0000,0000,0000,,going to get you pretty far.
Dialogue: 0,0:15:21.21,0:15:25.05,Default,,0000,0000,0000,,In the next video I'm going to\Ndo the times tables past 9.
Dialogue: 0,0:15:25.05,0:15:26.97,Default,,0000,0000,0000,,See you soon.