[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:00.49,Default,,0000,0000,0000,,
Dialogue: 0,0:00:00.49,0:00:07.03,Default,,0000,0000,0000,,What is the cost of 14.6 gallons\Nof gasoline at $2.70
Dialogue: 0,0:00:07.03,0:00:08.29,Default,,0000,0000,0000,,per gallon?
Dialogue: 0,0:00:08.29,0:00:15.60,Default,,0000,0000,0000,,So we have 14.6 gallons,\Nand each gallon's
Dialogue: 0,0:00:15.60,0:00:17.30,Default,,0000,0000,0000,,going to cost $2.70.
Dialogue: 0,0:00:17.30,0:00:21.53,Default,,0000,0000,0000,,Or we can even view $2.70\Nas 2.7 dollars.
Dialogue: 0,0:00:21.53,0:00:25.04,Default,,0000,0000,0000,,Let's just multiply times 2.7.
Dialogue: 0,0:00:25.04,0:00:26.87,Default,,0000,0000,0000,,It makes things a little\Nbit simpler.
Dialogue: 0,0:00:26.87,0:00:30.49,Default,,0000,0000,0000,,I think you'll appreciate $2.70\Nis the same thing as 2.7
Dialogue: 0,0:00:30.49,0:00:32.34,Default,,0000,0000,0000,,dollars per gallon.
Dialogue: 0,0:00:32.34,0:00:35.03,Default,,0000,0000,0000,,So let's multiply this out.
Dialogue: 0,0:00:35.03,0:00:38.62,Default,,0000,0000,0000,,So first we have, and just as a\Nreminder, when you multiply
Dialogue: 0,0:00:38.62,0:00:42.28,Default,,0000,0000,0000,,decimals, you just have to treat\Nthe numbers like whole
Dialogue: 0,0:00:42.28,0:00:44.76,Default,,0000,0000,0000,,numbers and then worry about\Nthe decimals later.
Dialogue: 0,0:00:44.76,0:00:49.37,Default,,0000,0000,0000,,So right now, we can just view\Nthis as 146 times 27, and then
Dialogue: 0,0:00:49.37,0:00:51.06,Default,,0000,0000,0000,,we'll worry about\Nthe decimals.
Dialogue: 0,0:00:51.06,0:00:53.95,Default,,0000,0000,0000,,So first we have\Na 7 times a 6.
Dialogue: 0,0:00:53.95,0:00:57.04,Default,,0000,0000,0000,,7 times 6 is 42.
Dialogue: 0,0:00:57.04,0:00:58.53,Default,,0000,0000,0000,,Regroup the 4.
Dialogue: 0,0:00:58.53,0:01:03.21,Default,,0000,0000,0000,,7 times 4 is 28, plus 4 is 32.
Dialogue: 0,0:01:03.21,0:01:04.73,Default,,0000,0000,0000,,Regroup the 3.
Dialogue: 0,0:01:04.73,0:01:08.73,Default,,0000,0000,0000,,7 times 1 is 7, plus 3 is 10.
Dialogue: 0,0:01:08.73,0:01:13.79,Default,,0000,0000,0000,,So we get 7 times\N146 is 1,022.
Dialogue: 0,0:01:13.79,0:01:15.84,Default,,0000,0000,0000,,Now we're going to\Ndeal with this 2.
Dialogue: 0,0:01:15.84,0:01:18.38,Default,,0000,0000,0000,,But this 2, at least before we\Nconsider the decimal, is
Dialogue: 0,0:01:18.38,0:01:19.16,Default,,0000,0000,0000,,really a 20.
Dialogue: 0,0:01:19.16,0:01:22.31,Default,,0000,0000,0000,,So we're going to\Nput a 0 here.
Dialogue: 0,0:01:22.31,0:01:24.60,Default,,0000,0000,0000,,We're doing it exactly the same\Nway we do a traditional
Dialogue: 0,0:01:24.60,0:01:25.52,Default,,0000,0000,0000,,multiplication problem.
Dialogue: 0,0:01:25.52,0:01:27.62,Default,,0000,0000,0000,,We're ignoring the\Ndecimals for now.
Dialogue: 0,0:01:27.62,0:01:29.43,Default,,0000,0000,0000,,2 times 6 is 12.
Dialogue: 0,0:01:29.43,0:01:31.66,Default,,0000,0000,0000,,Carry the 1, or regroup the 1.
Dialogue: 0,0:01:31.66,0:01:33.58,Default,,0000,0000,0000,,We can ignore these\Nguys right now.
Dialogue: 0,0:01:33.58,0:01:37.80,Default,,0000,0000,0000,,2 times 4 is 8, plus 1 is 9.
Dialogue: 0,0:01:37.80,0:01:41.36,Default,,0000,0000,0000,,2 times 1 is 2, and\Nnow we can add.
Dialogue: 0,0:01:41.36,0:01:44.60,Default,,0000,0000,0000,,
Dialogue: 0,0:01:44.60,0:01:47.41,Default,,0000,0000,0000,,And we get 2 plus 0 is 2.
Dialogue: 0,0:01:47.41,0:01:49.39,Default,,0000,0000,0000,,2 plus 2 is 4.
Dialogue: 0,0:01:49.39,0:01:51.72,Default,,0000,0000,0000,,0 plus 9 is 9.
Dialogue: 0,0:01:51.72,0:01:55.17,Default,,0000,0000,0000,,1 plus 2 is 3.
Dialogue: 0,0:01:55.17,0:01:58.65,Default,,0000,0000,0000,,Now we've figured out what\N146 times 27 is.
Dialogue: 0,0:01:58.65,0:02:00.95,Default,,0000,0000,0000,,It's 3,942.
Dialogue: 0,0:02:00.95,0:02:03.07,Default,,0000,0000,0000,,But this wasn't 146 times 27.
Dialogue: 0,0:02:03.07,0:02:06.03,Default,,0000,0000,0000,,It was 14.6 times 2.7.
Dialogue: 0,0:02:06.03,0:02:07.98,Default,,0000,0000,0000,,So now we have to worry\Nabout the decimals.
Dialogue: 0,0:02:07.98,0:02:11.13,Default,,0000,0000,0000,,We just count how many numbers\Nare sitting behind decimals.
Dialogue: 0,0:02:11.13,0:02:14.20,Default,,0000,0000,0000,,We have one right there and\Na second one right there.
Dialogue: 0,0:02:14.20,0:02:16.71,Default,,0000,0000,0000,,So our product has to have\Ntwo numbers to the
Dialogue: 0,0:02:16.71,0:02:17.67,Default,,0000,0000,0000,,right of the decimal.
Dialogue: 0,0:02:17.67,0:02:21.16,Default,,0000,0000,0000,,So one, two, stick it\Nright over there.
Dialogue: 0,0:02:21.16,0:02:25.86,Default,,0000,0000,0000,,So for 14.6 gallons of gas at\N$2.70 per gallon, it's going
Dialogue: 0,0:02:25.86,0:02:28.11,Default,,0000,0000,0000,,to cost $39.42.
Dialogue: 0,0:02:28.11,0:02:31.20,Default,,0000,0000,0000,,