[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:00.43,Default,,0000,0000,0000,,
Dialogue: 0,0:00:00.43,0:00:06.98,Default,,0000,0000,0000,,We're asked to multiply 32.12,\Nor 32 and 12 hundredths, times
Dialogue: 0,0:00:06.98,0:00:10.62,Default,,0000,0000,0000,,0.5, or just 5 tenths.
Dialogue: 0,0:00:10.62,0:00:12.63,Default,,0000,0000,0000,,Now when you multiply decimals,\Nyou multiply them
Dialogue: 0,0:00:12.63,0:00:15.70,Default,,0000,0000,0000,,the exact same way you would\Nmultiply whole numbers, and
Dialogue: 0,0:00:15.70,0:00:18.38,Default,,0000,0000,0000,,then you count the number of\Nspaces behind the decimal you
Dialogue: 0,0:00:18.38,0:00:21.33,Default,,0000,0000,0000,,have in your two numbers you're\Nmultiplying, and you're
Dialogue: 0,0:00:21.33,0:00:23.72,Default,,0000,0000,0000,,going to have that many spaces\Nin your product.
Dialogue: 0,0:00:23.72,0:00:25.34,Default,,0000,0000,0000,,Let me show you what\NI'm talking about.
Dialogue: 0,0:00:25.34,0:00:27.32,Default,,0000,0000,0000,,So let's just multiply\Nthese two characters.
Dialogue: 0,0:00:27.32,0:00:35.72,Default,,0000,0000,0000,,So we have 32.12 times 0.5.
Dialogue: 0,0:00:35.72,0:00:38.67,Default,,0000,0000,0000,,And when you write them out, you\Ncan just push both of them
Dialogue: 0,0:00:38.67,0:00:39.71,Default,,0000,0000,0000,,all the way to the right.
Dialogue: 0,0:00:39.71,0:00:41.53,Default,,0000,0000,0000,,You could almost ignore\Nthe decimal.
Dialogue: 0,0:00:41.53,0:00:44.28,Default,,0000,0000,0000,,Right now, you should write the\Ndecimal where they belong,
Dialogue: 0,0:00:44.28,0:00:48.66,Default,,0000,0000,0000,,but you can almost pretend that\Nthis is 3,212 times 5,
Dialogue: 0,0:00:48.66,0:00:51.58,Default,,0000,0000,0000,,and then we'll worry about\Nthe decimals in a second.
Dialogue: 0,0:00:51.58,0:00:52.92,Default,,0000,0000,0000,,So let's get started.
Dialogue: 0,0:00:52.92,0:00:56.39,Default,,0000,0000,0000,,So if we were just multiplying\N5 times 3,212, we would say,
Dialogue: 0,0:00:56.39,0:00:59.54,Default,,0000,0000,0000,,well, 5 times 2 is 10.
Dialogue: 0,0:00:59.54,0:01:01.03,Default,,0000,0000,0000,,Regroup the 1.
Dialogue: 0,0:01:01.03,0:01:08.86,Default,,0000,0000,0000,,5 times 1 is 5, plus 1 is 6.
Dialogue: 0,0:01:08.86,0:01:14.26,Default,,0000,0000,0000,,5 times 2 is 10.
Dialogue: 0,0:01:14.26,0:01:15.72,Default,,0000,0000,0000,,Regroup the 1.
Dialogue: 0,0:01:15.72,0:01:23.40,Default,,0000,0000,0000,,And then finally, you have 5\Ntimes 3 is 15, plus 1 is 16.
Dialogue: 0,0:01:23.40,0:01:26.80,Default,,0000,0000,0000,,And then we don't have\Nany other places.
Dialogue: 0,0:01:26.80,0:01:29.80,Default,,0000,0000,0000,,If we were just doing this as\N05, we wouldn't multiply 0
Dialogue: 0,0:01:29.80,0:01:30.48,Default,,0000,0000,0000,,times this whole thing.
Dialogue: 0,0:01:30.48,0:01:32.24,Default,,0000,0000,0000,,We would just get 0 anyway.
Dialogue: 0,0:01:32.24,0:01:36.00,Default,,0000,0000,0000,,So just 5 times 3,212 gives\Nus this number.
Dialogue: 0,0:01:36.00,0:01:38.70,Default,,0000,0000,0000,,But now we want to care\Nabout the decimals.
Dialogue: 0,0:01:38.70,0:01:42.74,Default,,0000,0000,0000,,We just have to count the total\Nnumber of spaces or
Dialogue: 0,0:01:42.74,0:01:45.71,Default,,0000,0000,0000,,places we have behind the\Ndecimal point in the two
Dialogue: 0,0:01:45.71,0:01:46.75,Default,,0000,0000,0000,,numbers we're multiplying.
Dialogue: 0,0:01:46.75,0:01:52.38,Default,,0000,0000,0000,,So we have one, two, three\Nspaces, or three numbers, to
Dialogue: 0,0:01:52.38,0:01:55.09,Default,,0000,0000,0000,,the right of the decimals in\Nthe two numbers that we're
Dialogue: 0,0:01:55.09,0:01:55.97,Default,,0000,0000,0000,,multiplying.
Dialogue: 0,0:01:55.97,0:01:58.99,Default,,0000,0000,0000,,So we need that many numbers to\Nthe right of the decimal in
Dialogue: 0,0:01:58.99,0:01:59.53,Default,,0000,0000,0000,,our answer.
Dialogue: 0,0:01:59.53,0:02:04.91,Default,,0000,0000,0000,,So we go one, two, three, put\Nthe decimal right over there.
Dialogue: 0,0:02:04.91,0:02:11.08,Default,,0000,0000,0000,,So 32.12 times 0.5 is 16.060.
Dialogue: 0,0:02:11.08,0:02:13.22,Default,,0000,0000,0000,,And this trailing zero right\Nhere we can ignore, because
Dialogue: 0,0:02:13.22,0:02:15.39,Default,,0000,0000,0000,,it's really not adding any\Ninformation there.
Dialogue: 0,0:02:15.39,0:02:19.20,Default,,0000,0000,0000,,So we could just write\Nthis as 16.06.
Dialogue: 0,0:02:19.20,0:02:21.78,Default,,0000,0000,0000,,The last thing you want to do\Nis just make sure that this
Dialogue: 0,0:02:21.78,0:02:22.67,Default,,0000,0000,0000,,makes sense.
Dialogue: 0,0:02:22.67,0:02:26.53,Default,,0000,0000,0000,,You have a number that's\Nalmost 32, and we're
Dialogue: 0,0:02:26.53,0:02:27.99,Default,,0000,0000,0000,,multiplying it by 0.5.
Dialogue: 0,0:02:27.99,0:02:33.86,Default,,0000,0000,0000,,Remember, 0.5 is the same thing\Nas 5 over 10, which is
Dialogue: 0,0:02:33.86,0:02:36.09,Default,,0000,0000,0000,,the same thing as 1/2.
Dialogue: 0,0:02:36.09,0:02:39.67,Default,,0000,0000,0000,,So we're really multiplying\N32.12 times 1/2.
Dialogue: 0,0:02:39.67,0:02:43.10,Default,,0000,0000,0000,,We're trying to figure out what\None half of 32.12 is.
Dialogue: 0,0:02:43.10,0:02:49.64,Default,,0000,0000,0000,,And half of 32 is 16, and half\Nof 0.12 0.06, so this makes
Dialogue: 0,0:02:49.64,0:02:51.45,Default,,0000,0000,0000,,complete sense.
Dialogue: 0,0:02:51.45,0:02:51.93,Default,,0000,0000,0000,,