[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:01.29,0:00:02.87,Default,,0000,0000,0000,,Welcome to Level Four multiplication. Dialogue: 0,0:00:02.87,0:00:04.89,Default,,0000,0000,0000,,Let's do some problems. Dialogue: 0,0:00:04.89,0:00:10.72,Default,,0000,0000,0000,,Let's say we had two hundred thirty-five times-- Dialogue: 0,0:00:10.72,0:00:14.33,Default,,0000,0000,0000,,I'm going to use two different colors here, so bear with me a second. Dialogue: 0,0:00:14.33,0:00:21.69,Default,,0000,0000,0000,,Let's say times forty-seven. Dialogue: 0,0:00:21.69,0:00:23.50,Default,,0000,0000,0000,,So you start a Level four problem Dialogue: 0,0:00:23.50,0:00:26.96,Default,,0000,0000,0000,,just like you would normally do a Level Three problem. Dialogue: 0,0:00:26.96,0:00:31.06,Default,,0000,0000,0000,,We'll take that seven, and we'll multiply it by two hundred thirty-five. Dialogue: 0,0:00:31.07,0:00:36.16,Default,,0000,0000,0000,,So seven times five is thirty-five. Dialogue: 0,0:00:36.16,0:00:44.60,Default,,0000,0000,0000,,Seven times three is twenty-one, plus the three we just carried is twenty-four. Dialogue: 0,0:00:44.60,0:00:49.75,Default,,0000,0000,0000,,Seven times two is fourteen, plus the two we just carried. Dialogue: 0,0:00:49.78,0:00:51.03,Default,,0000,0000,0000,,This is sixteen. Dialogue: 0,0:00:51.04,0:00:52.56,Default,,0000,0000,0000,,So we're done with the seven. Dialogue: 0,0:00:52.57,0:00:54.39,Default,,0000,0000,0000,,Now we have to deal with this four. Dialogue: 0,0:00:54.39,0:00:58.24,Default,,0000,0000,0000,,Well, since that four is in the tens place, we add a zero here. Dialogue: 0,0:00:58.25,0:01:02.19,Default,,0000,0000,0000,,You could almost view it as we're multiplying two hundred thirty-five, not by four, Dialogue: 0,0:01:02.19,0:01:04.04,Default,,0000,0000,0000,,but we're multiplying it by forty, Dialogue: 0,0:01:04.04,0:01:06.49,Default,,0000,0000,0000,,and that's why we put that zero there. Dialogue: 0,0:01:06.50,0:01:09.31,Default,,0000,0000,0000,,But once you put the zero there, you can treat it just like a four. Dialogue: 0,0:01:09.31,0:01:14.90,Default,,0000,0000,0000,,So you say four times five, well, that's twenty. Dialogue: 0,0:01:14.90,0:01:17.66,Default,,0000,0000,0000,,Let's ignore what we had from before. Dialogue: 0,0:01:17.66,0:01:24.18,Default,,0000,0000,0000,,Four times three is twelve, plus the two we just carried, which is fourteen. Dialogue: 0,0:01:24.18,0:01:29.80,Default,,0000,0000,0000,,Four times two is eight, plus the one we just carried, so that's nine. Dialogue: 0,0:01:29.81,0:01:32.00,Default,,0000,0000,0000,,And now we just add up everything. Dialogue: 0,0:01:32.01,0:01:40.57,Default,,0000,0000,0000,,Five plus zero is five, four plus zero is four, six plus four is ten, carry the one, Dialogue: 0,0:01:40.57,0:01:43.67,Default,,0000,0000,0000,,and one plus one plus nine, well, that's eleven. Dialogue: 0,0:01:43.68,0:01:46.22,Default,,0000,0000,0000,,So the answer is eleven thousand forty-five. Dialogue: 0,0:01:46.23,0:01:48.15,Default,,0000,0000,0000,,Let's do another problem. Dialogue: 0,0:01:48.15,0:01:56.88,Default,,0000,0000,0000,,Let's say I had eight hundred seventy-three times-- Dialogue: 0,0:01:56.88,0:02:00.56,Default,,0000,0000,0000,,and I'm making these numbers up on the fly, so bear with me-- Dialogue: 0,0:02:00.56,0:02:06.08,Default,,0000,0000,0000,,eight hundred seventy-three times-- some high numbers-- Dialogue: 0,0:02:06.08,0:02:08.08,Default,,0000,0000,0000,,ninety-- and I'm doing them in different colors, Dialogue: 0,0:02:08.08,0:02:10.79,Default,,0000,0000,0000,,just so you hopefully get a better understanding Dialogue: 0,0:02:10.79,0:02:13.11,Default,,0000,0000,0000,,of what I'm trying to explain. Dialogue: 0,0:02:13.12,0:02:15.16,Default,,0000,0000,0000,,Let's say ninety-seven. Dialogue: 0,0:02:15.16,0:02:15.95,Default,,0000,0000,0000,,No, I just used a seven. Dialogue: 0,0:02:15.96,0:02:19.87,Default,,0000,0000,0000,,Let's make it ninety-eight. Dialogue: 0,0:02:19.87,0:02:22.65,Default,,0000,0000,0000,,So just like we did before, we go to the ones place first, Dialogue: 0,0:02:22.65,0:02:23.59,Default,,0000,0000,0000,,and that's where that eight is, Dialogue: 0,0:02:23.59,0:02:26.71,Default,,0000,0000,0000,,and we multiply that eight times eight hundred seventy-three. Dialogue: 0,0:02:26.71,0:02:32.07,Default,,0000,0000,0000,,So eight times three is twenty-four, carry the two. Dialogue: 0,0:02:32.08,0:02:40.09,Default,,0000,0000,0000,,Eight times seven is fifty-six, plus two is fifty-eight, carry the five. Dialogue: 0,0:02:40.09,0:02:44.40,Default,,0000,0000,0000,,Eight times eight is sixty-four, plus the five we just carried. Dialogue: 0,0:02:44.41,0:02:46.47,Default,,0000,0000,0000,,That's sixty-nine. Dialogue: 0,0:02:46.47,0:02:47.57,Default,,0000,0000,0000,,We're done with the eight. Dialogue: 0,0:02:47.58,0:02:49.41,Default,,0000,0000,0000,,Now we have to multiply the nine, Dialogue: 0,0:02:49.41,0:02:53.83,Default,,0000,0000,0000,,or we could just do it as we're multiplying eight hundred seventy-three by ninety. Dialogue: 0,0:02:53.84,0:02:56.01,Default,,0000,0000,0000,,But multiplying something by ninety is just the same thing Dialogue: 0,0:02:56.01,0:02:59.31,Default,,0000,0000,0000,,as multiplying something by nine and then adding a zero at the end. Dialogue: 0,0:02:59.31,0:03:02.03,Default,,0000,0000,0000,,So that's why I put a zero right here. Dialogue: 0,0:03:02.03,0:03:03.52,Default,,0000,0000,0000,,Let's say nine times three-- Dialogue: 0,0:03:03.52,0:03:06.71,Default,,0000,0000,0000,,well, first, just to clean up things, let's get rid of what we had from before. Dialogue: 0,0:03:06.71,0:03:12.93,Default,,0000,0000,0000,,We say nine times three is twenty-seven, carry the two. Dialogue: 0,0:03:12.94,0:03:20.80,Default,,0000,0000,0000,,Nine times seven is sixty-three, plus the two that we just carried is sixty-five. Dialogue: 0,0:03:20.80,0:03:22.34,Default,,0000,0000,0000,,Carry the six. Dialogue: 0,0:03:22.35,0:03:25.48,Default,,0000,0000,0000,,Nine times eight is seventy-two, plus the six we just carried. Dialogue: 0,0:03:25.49,0:03:28.03,Default,,0000,0000,0000,,That's seventy-eight. Dialogue: 0,0:03:28.03,0:03:29.71,Default,,0000,0000,0000,,And now we just add again. Dialogue: 0,0:03:29.71,0:03:36.23,Default,,0000,0000,0000,,Four, eight plus seven is fifteen, one plus nine plus five is fifteen, Dialogue: 0,0:03:36.23,0:03:42.16,Default,,0000,0000,0000,,one plus six plus eight is also fifteen, and one plus seven, that's eight. Dialogue: 0,0:03:42.16,0:03:45.18,Default,,0000,0000,0000,,So the answer, hopefully-- I don't have a calculator in front of me-- Dialogue: 0,0:03:45.18,0:03:48.01,Default,,0000,0000,0000,,is eighty-five thousand five hundred fifty-four, Dialogue: 0,0:03:48.01,0:03:50.87,Default,,0000,0000,0000,,assuming I didn't make any careless mistakes. Dialogue: 0,0:03:50.88,0:03:51.90,Default,,0000,0000,0000,,Let's do one more problem. Dialogue: 0,0:03:51.90,0:03:54.65,Default,,0000,0000,0000,,I think it'll hit the point home. Dialogue: 0,0:03:54.66,0:03:55.79,Default,,0000,0000,0000,,The next problem I'm going to do, Dialogue: 0,0:03:55.79,0:03:58.22,Default,,0000,0000,0000,,you can almost do it as a Level Five problem Dialogue: 0,0:03:58.22,0:04:00.60,Default,,0000,0000,0000,,because I'm actually going to multiply two three-digit numbers, Dialogue: 0,0:04:00.60,0:04:03.77,Default,,0000,0000,0000,,but it's really the same thing, and hopefully, you'll see the pattern. Dialogue: 0,0:04:03.77,0:04:10.97,Default,,0000,0000,0000,,So let's say I had two hundred thirty-four times-- Dialogue: 0,0:04:10.97,0:04:13.85,Default,,0000,0000,0000,,and I'm going to use three colors now-- Dialogue: 0,0:04:13.85,0:04:23.15,Default,,0000,0000,0000,,let's say six hundred forty-three. Dialogue: 0,0:04:23.15,0:04:26.01,Default,,0000,0000,0000,,So first we do the three, which is in the ones place, Dialogue: 0,0:04:26.02,0:04:28.94,Default,,0000,0000,0000,,and we multiply that times two hundred thirty-four. Dialogue: 0,0:04:28.94,0:04:32.30,Default,,0000,0000,0000,,Well, three times four is twelve, carry the one. Dialogue: 0,0:04:32.31,0:04:36.56,Default,,0000,0000,0000,,Three times three is nine, add the one. Dialogue: 0,0:04:36.56,0:04:38.61,Default,,0000,0000,0000,,That's ten, carry the one. Dialogue: 0,0:04:38.62,0:04:41.18,Default,,0000,0000,0000,,Three times two is six, plus one. Dialogue: 0,0:04:41.18,0:04:43.72,Default,,0000,0000,0000,,Well, that's seven. Dialogue: 0,0:04:43.73,0:04:45.54,Default,,0000,0000,0000,,And then we've done the-- Dialogue: 0,0:04:45.54,0:04:46.95,Default,,0000,0000,0000,,I think I've made a mistake someplace. Dialogue: 0,0:04:46.95,0:04:48.43,Default,,0000,0000,0000,,Let me see. Dialogue: 0,0:04:48.43,0:04:50.86,Default,,0000,0000,0000,,Three times four is twelve. Dialogue: 0,0:04:50.87,0:04:54.34,Default,,0000,0000,0000,,Oh, no, I think that's correct. Dialogue: 0,0:04:54.34,0:04:56.43,Default,,0000,0000,0000,,I was confusing myself. Dialogue: 0,0:04:56.43,0:04:58.56,Default,,0000,0000,0000,,Okay, now we're ready to do the four, or the forty, Dialogue: 0,0:04:58.56,0:05:03.02,Default,,0000,0000,0000,,and since it's a forty, because it's in the tens place, we put a zero right here. Dialogue: 0,0:05:03.02,0:05:04.39,Default,,0000,0000,0000,,We say four times four-- Dialogue: 0,0:05:04.39,0:05:06.13,Default,,0000,0000,0000,,well let's clean up the stuff at the top. Dialogue: 0,0:05:06.13,0:05:08.39,Default,,0000,0000,0000,,I always forget to do that. Dialogue: 0,0:05:08.39,0:05:12.14,Default,,0000,0000,0000,,Four times four, well, that's sixteen, carry the one. Dialogue: 0,0:05:12.14,0:05:19.12,Default,,0000,0000,0000,,Four times three, well that's twelve, plus one, well that's thirteen. Dialogue: 0,0:05:19.12,0:05:23.67,Default,,0000,0000,0000,,Four times two is eight, plus the one, well that's nine. Dialogue: 0,0:05:23.68,0:05:25.47,Default,,0000,0000,0000,,And now we're done with the four, or the forty, Dialogue: 0,0:05:25.47,0:05:26.50,Default,,0000,0000,0000,,depending on how you want to view it. Dialogue: 0,0:05:26.51,0:05:29.35,Default,,0000,0000,0000,,Now we're ready for the six, or the six hundred. Dialogue: 0,0:05:29.40,0:05:32.87,Default,,0000,0000,0000,,Since it's a six hundred, we put two zeros here, Dialogue: 0,0:05:32.87,0:05:34.36,Default,,0000,0000,0000,,and we just treat it like a six. Dialogue: 0,0:05:34.36,0:05:37.18,Default,,0000,0000,0000,,Let's clean up what we did before. Dialogue: 0,0:05:37.18,0:05:41.22,Default,,0000,0000,0000,,So six times four is twenty-four, carry the two. Dialogue: 0,0:05:41.22,0:05:47.49,Default,,0000,0000,0000,,Six times three is eighteen, plus two is twenty, carry the two. Dialogue: 0,0:05:47.50,0:05:52.70,Default,,0000,0000,0000,,Six times two is twelve, plus two is fourteen. Dialogue: 0,0:05:52.70,0:05:55.46,Default,,0000,0000,0000,,And now we add it all up. Dialogue: 0,0:05:55.47,0:05:59.67,Default,,0000,0000,0000,,Two. Six. Seven plus three is ten. Dialogue: 0,0:05:59.68,0:06:02.26,Default,,0000,0000,0000,,Fourteen, carry the one. Dialogue: 0,0:06:02.26,0:06:04.23,Default,,0000,0000,0000,,One plus nine is ten. Dialogue: 0,0:06:04.23,0:06:05.47,Default,,0000,0000,0000,,Carry the one. Dialogue: 0,0:06:05.47,0:06:07.37,Default,,0000,0000,0000,,That's five, that's one. Dialogue: 0,0:06:07.38,0:06:09.60,Default,,0000,0000,0000,,I hope you can see. I hope it's not falling off the screen, Dialogue: 0,0:06:09.60,0:06:13.69,Default,,0000,0000,0000,,the answer I get is a one hundred fifty thousand four hundred sixty-two. Dialogue: 0,0:06:13.69,0:06:16.96,Default,,0000,0000,0000,,I think you're ready now to try Level Four multiplication problems!