[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.56,0:00:04.07,Default,,0000,0000,0000,,We are asked to divide 99.061 or
Dialogue: 0,0:00:04.07,0:00:08.02,Default,,0000,0000,0000,,ninety nine and sixty one thousandths by 100.
Dialogue: 0,0:00:08.02,0:00:09.39,Default,,0000,0000,0000,,And there is a few ways to do it
Dialogue: 0,0:00:09.39,0:00:11.09,Default,,0000,0000,0000,,but all I'm going to do in this video is focus on
Dialogue: 0,0:00:11.09,0:00:13.12,Default,,0000,0000,0000,,kind of a faster way to think about it.
Dialogue: 0,0:00:13.12,0:00:14.11,Default,,0000,0000,0000,,And hopefully it will make sense to you.
Dialogue: 0,0:00:14.11,0:00:17.12,Default,,0000,0000,0000,,And that is also the focus of it. That it makes sense to you.
Dialogue: 0,0:00:17.12,0:00:19.73,Default,,0000,0000,0000,,Let us just think about it a little bit.
Dialogue: 0,0:00:19.73,0:00:26.87,Default,,0000,0000,0000,,So 99.061. So if we were to divide this by 10,
Dialogue: 0,0:00:26.87,0:00:28.37,Default,,0000,0000,0000,,just to make the point clear,
Dialogue: 0,0:00:28.37,0:00:31.07,Default,,0000,0000,0000,,if we were to divide this by 10, what would we get?
Dialogue: 0,0:00:31.07,0:00:33.65,Default,,0000,0000,0000,,Well, we would essentially move the decimal place
Dialogue: 0,0:00:33.65,0:00:37.09,Default,,0000,0000,0000,,one spot to the left. And it should make sense
Dialogue: 0,0:00:37.09,0:00:38.67,Default,,0000,0000,0000,,because we have a little over 99.
Dialogue: 0,0:00:38.67,0:00:43.01,Default,,0000,0000,0000,,If you took 99 divided by 10, you should have a little over 9.
Dialogue: 0,0:00:43.01,0:00:46.21,Default,,0000,0000,0000,,So essentially you would move the decimal place
Dialogue: 0,0:00:46.21,0:00:48.79,Default,,0000,0000,0000,,one to the left when you divide by 10.
Dialogue: 0,0:00:48.79,0:00:54.74,Default,,0000,0000,0000,,So this would be equal to 9.9061.
Dialogue: 0,0:00:54.74,0:00:58.41,Default,,0000,0000,0000,,If you were to divide it by 100,
Dialogue: 0,0:00:58.41,0:01:00.87,Default,,0000,0000,0000,,which is actually the focus of this problem,
Dialogue: 0,0:01:00.87,0:01:06.11,Default,,0000,0000,0000,,so if we divide 99.061 divided by 100.
Dialogue: 0,0:01:06.11,0:01:08.35,Default,,0000,0000,0000,,If we move the decimal place once to the left,
Dialogue: 0,0:01:08.35,0:01:10.25,Default,,0000,0000,0000,,we're dividing by 10.
Dialogue: 0,0:01:10.25,0:01:12.53,Default,,0000,0000,0000,,To divide it by 100, we have to divide it by 10 again.
Dialogue: 0,0:01:12.53,0:01:16.09,Default,,0000,0000,0000,,So we move it over twice. So one, two times.
Dialogue: 0,0:01:16.10,0:01:21.46,Default,,0000,0000,0000,,And so now the decimal place is out in front of that first leading 9.
Dialogue: 0,0:01:21.46,0:01:25.88,Default,,0000,0000,0000,,Which also should make sense. 99 is almost 100.
Dialogue: 0,0:01:25.88,0:01:29.47,Default,,0000,0000,0000,,Or a little bit less than 100. So if you divide it by 100
Dialogue: 0,0:01:29.47,0:01:32.08,Default,,0000,0000,0000,,we should be a little bit less than 1.
Dialogue: 0,0:01:32.08,0:01:33.92,Default,,0000,0000,0000,,And so if you move the decimal place
Dialogue: 0,0:01:33.92,0:01:35.37,Default,,0000,0000,0000,,two places over to the left,
Dialogue: 0,0:01:35.37,0:01:37.20,Default,,0000,0000,0000,,because we're really dividing by 10 twice
Dialogue: 0,0:01:37.20,0:01:38.67,Default,,0000,0000,0000,,if you want to think of it that way,
Dialogue: 0,0:01:38.68,0:01:42.74,Default,,0000,0000,0000,,we will get the decimal in front of the 99.
Dialogue: 0,0:01:42.74,0:01:46.21,Default,,0000,0000,0000,,.99061, we should put a 0 out here,
Dialogue: 0,0:01:46.21,0:01:48.28,Default,,0000,0000,0000,,just sometimes it clarifies things.
Dialogue: 0,0:01:48.28,0:01:50.25,Default,,0000,0000,0000,,So then we get this right over here.
Dialogue: 0,0:01:50.25,0:01:52.07,Default,,0000,0000,0000,,Now one way to think about it,
Dialogue: 0,0:01:52.07,0:01:53.73,Default,,0000,0000,0000,,although I do want you to always imagine that
Dialogue: 0,0:01:53.73,0:01:55.24,Default,,0000,0000,0000,,when you move the decimal place over to the left,
Dialogue: 0,0:01:55.24,0:01:58.16,Default,,0000,0000,0000,,you really are dividing by 10 when you move it to the left.
Dialogue: 0,0:01:58.16,0:02:01.14,Default,,0000,0000,0000,,When you move it to the right, you are multiplying by 10.
Dialogue: 0,0:02:01.14,0:02:03.17,Default,,0000,0000,0000,,Sometimes people say, hey look,
Dialogue: 0,0:02:03.17,0:02:05.42,Default,,0000,0000,0000,,you could just count the number of zeros.
Dialogue: 0,0:02:05.42,0:02:08.64,Default,,0000,0000,0000,,And if you are dividing, so over here you are dividing by 100,
Dialogue: 0,0:02:08.64,0:02:14.22,Default,,0000,0000,0000,,100 has two zeros, so when we're dividing by it,
Dialogue: 0,0:02:14.22,0:02:18.00,Default,,0000,0000,0000,,so we can move our decimal two spaces to the left.
Dialogue: 0,0:02:18.00,0:02:20.18,Default,,0000,0000,0000,,That's alright to do that, if you know
Dialogue: 0,0:02:20.18,0:02:21.77,Default,,0000,0000,0000,,especially if it's kind of a fast way to do it.
Dialogue: 0,0:02:21.77,0:02:24.38,Default,,0000,0000,0000,,If this had 20 zeros, you would have needed to say,
Dialogue: 0,0:02:24.38,0:02:26.62,Default,,0000,0000,0000,,ok, let us move the decimal 20 spaces to the left.
Dialogue: 0,0:02:26.62,0:02:29.70,Default,,0000,0000,0000,,But I really want you to think about why that's working.
Dialogue: 0,0:02:29.70,0:02:31.45,Default,,0000,0000,0000,,Why that makes sense?
Dialogue: 0,0:02:31.45,0:02:34.70,Default,,0000,0000,0000,,Why it's giving you a number that seems to be
Dialogue: 0,0:02:34.70,0:02:37.08,Default,,0000,0000,0000,,in the right kind of size number.
Dialogue: 0,0:02:37.08,0:02:38.88,Default,,0000,0000,0000,,That this is why it makes sense that
Dialogue: 0,0:02:38.88,0:02:40.56,Default,,0000,0000,0000,,if you take something that's almost 100
Dialogue: 0,0:02:40.56,0:02:44.100,Default,,0000,0000,0000,,and divide it by 100, you'll get something that's almost 1.
Dialogue: 0,0:02:44.100,0:02:47.84,Default,,0000,0000,0000,,And that part, frankly, is just a really good reality check
Dialogue: 0,0:02:47.84,0:02:50.26,Default,,0000,0000,0000,,to make sure you're going in the right direction with the decimal.
Dialogue: 0,0:02:50.26,0:02:53.34,Default,,0000,0000,0000,,Because if you were to try this five or ten years from now,
Dialogue: 0,0:02:53.34,0:02:56.39,Default,,0000,0000,0000,,maybe your memory of the rule
Dialogue: 0,0:02:56.39,0:02:58.31,Default,,0000,0000,0000,,or whatever you want to call it for doing it,
Dialogue: 0,0:02:58.31,0:03:00.16,Default,,0000,0000,0000,,you're like, hey, wait. Do I move the decimal
Dialogue: 0,0:03:00.16,0:03:01.50,Default,,0000,0000,0000,,to the left or the right?
Dialogue: 0,0:03:01.50,0:03:03.03,Default,,0000,0000,0000,,It's really good to do that reality check
Dialogue: 0,0:03:03.03,0:03:04.90,Default,,0000,0000,0000,,to say, ok, look. If I'm dividing by 100,
Dialogue: 0,0:03:04.90,0:03:07.13,Default,,0000,0000,0000,,I should be getting a smaller value.
Dialogue: 0,0:03:07.13,0:03:09.09,Default,,0000,0000,0000,,And that moving the decimal to the left
Dialogue: 0,0:03:09.09,0:03:10.56,Default,,0000,0000,0000,,gives me that smaller value.
Dialogue: 0,0:03:10.56,0:03:12.98,Default,,0000,0000,0000,,If I was multiplying by 100, I should get a larger value.
Dialogue: 0,0:03:12.98,0:03:15.27,Default,,0000,0000,0000,,And moving the decimal to the right
Dialogue: 0,0:03:15.27,0:03:17.82,Default,,0000,0000,0000,,would give you that larger value.