WEBVTT 00:00:00.563 --> 00:00:04.071 We are asked to divide 99.061 or 00:00:04.071 --> 00:00:08.015 ninety nine and sixty one thousandths by 100. 00:00:08.015 --> 00:00:09.393 And there is a few ways to do it 00:00:09.393 --> 00:00:11.089 but all I'm going to do in this video is focus on 00:00:11.089 --> 00:00:13.123 kind of a faster way to think about it. 00:00:13.123 --> 00:00:14.108 And hopefully it will make sense to you. 00:00:14.108 --> 00:00:17.120 And that is also the focus of it. That it makes sense to you. 00:00:17.120 --> 00:00:19.733 Let us just think about it a little bit. 00:00:19.733 --> 00:00:26.867 So 99.061. So if we were to divide this by 10, 00:00:26.867 --> 00:00:28.369 just to make the point clear, 00:00:28.369 --> 00:00:31.069 if we were to divide this by 10, what would we get? 00:00:31.069 --> 00:00:33.646 Well, we would essentially move the decimal place 00:00:33.646 --> 00:00:37.093 one spot to the left. And it should make sense 00:00:37.093 --> 00:00:38.672 because we have a little over 99. 00:00:38.672 --> 00:00:43.006 If you took 99 divided by 10, you should have a little over 9. 00:00:43.006 --> 00:00:46.208 So essentially you would move the decimal place 00:00:46.208 --> 00:00:48.790 one to the left when you divide by 10. 00:00:48.790 --> 00:00:54.740 So this would be equal to 9.9061. 00:00:54.740 --> 00:00:58.413 If you were to divide it by 100, 00:00:58.413 --> 00:01:00.867 which is actually the focus of this problem, 00:01:00.867 --> 00:01:06.114 so if we divide 99.061 divided by 100. 00:01:06.114 --> 00:01:08.346 If we move the decimal place once to the left, 00:01:08.346 --> 00:01:10.246 we're dividing by 10. 00:01:10.246 --> 00:01:12.529 To divide it by 100, we have to divide it by 10 again. 00:01:12.529 --> 00:01:16.087 So we move it over twice. So one, two times. 00:01:16.102 --> 00:01:21.456 And so now the decimal place is out in front of that first leading 9. 00:01:21.456 --> 00:01:25.877 Which also should make sense. 99 is almost 100. 00:01:25.877 --> 00:01:29.467 Or a little bit less than 100. So if you divide it by 100 00:01:29.467 --> 00:01:32.082 we should be a little bit less than 1. 00:01:32.082 --> 00:01:33.920 And so if you move the decimal place 00:01:33.920 --> 00:01:35.368 two places over to the left, 00:01:35.368 --> 00:01:37.200 because we're really dividing by 10 twice 00:01:37.200 --> 00:01:38.669 if you want to think of it that way, 00:01:38.685 --> 00:01:42.738 we will get the decimal in front of the 99. 00:01:42.738 --> 00:01:46.208 .99061, we should put a 0 out here, 00:01:46.208 --> 00:01:48.277 just sometimes it clarifies things. 00:01:48.277 --> 00:01:50.254 So then we get this right over here. 00:01:50.254 --> 00:01:52.067 Now one way to think about it, 00:01:52.067 --> 00:01:53.731 although I do want you to always imagine that 00:01:53.731 --> 00:01:55.241 when you move the decimal place over to the left, 00:01:55.241 --> 00:01:58.164 you really are dividing by 10 when you move it to the left. 00:01:58.164 --> 00:02:01.144 When you move it to the right, you are multiplying by 10. 00:02:01.144 --> 00:02:03.167 Sometimes people say, hey look, 00:02:03.167 --> 00:02:05.418 you could just count the number of zeros. 00:02:05.418 --> 00:02:08.637 And if you are dividing, so over here you are dividing by 100, 00:02:08.637 --> 00:02:14.215 100 has two zeros, so when we're dividing by it, 00:02:14.215 --> 00:02:18.005 so we can move our decimal two spaces to the left. 00:02:18.005 --> 00:02:20.179 That's alright to do that, if you know 00:02:20.179 --> 00:02:21.773 especially if it's kind of a fast way to do it. 00:02:21.773 --> 00:02:24.382 If this had 20 zeros, you would have needed to say, 00:02:24.382 --> 00:02:26.615 ok, let us move the decimal 20 spaces to the left. 00:02:26.615 --> 00:02:29.705 But I really want you to think about why that's working. 00:02:29.705 --> 00:02:31.450 Why that makes sense? 00:02:31.450 --> 00:02:34.702 Why it's giving you a number that seems to be 00:02:34.702 --> 00:02:37.085 in the right kind of size number. 00:02:37.085 --> 00:02:38.884 That this is why it makes sense that 00:02:38.884 --> 00:02:40.559 if you take something that's almost 100 00:02:40.559 --> 00:02:44.995 and divide it by 100, you'll get something that's almost 1. 00:02:44.995 --> 00:02:47.843 And that part, frankly, is just a really good reality check 00:02:47.843 --> 00:02:50.260 to make sure you're going in the right direction with the decimal. 00:02:50.260 --> 00:02:53.338 Because if you were to try this five or ten years from now, 00:02:53.338 --> 00:02:56.393 maybe your memory of the rule 00:02:56.393 --> 00:02:58.309 or whatever you want to call it for doing it, 00:02:58.309 --> 00:03:00.163 you're like, hey, wait. Do I move the decimal 00:03:00.163 --> 00:03:01.502 to the left or the right? 00:03:01.502 --> 00:03:03.033 It's really good to do that reality check 00:03:03.033 --> 00:03:04.902 to say, ok, look. If I'm dividing by 100, 00:03:04.902 --> 00:03:07.131 I should be getting a smaller value. 00:03:07.131 --> 00:03:09.092 And that moving the decimal to the left 00:03:09.092 --> 00:03:10.561 gives me that smaller value. 00:03:10.561 --> 00:03:12.984 If I was multiplying by 100, I should get a larger value. 00:03:12.984 --> 00:03:15.269 And moving the decimal to the right 00:03:15.269 --> 00:03:17.815 would give you that larger value.