WEBVTT 00:00:00.660 --> 00:00:03.384 Voiceover: The goal of this video is to essentially write down 00:00:03.384 --> 00:00:07.726 all the numbers in order from zero to a 100. 00:00:07.726 --> 00:00:09.954 But I’m going to do it in an interesting way, a way 00:00:09.954 --> 00:00:11.993 that maybe will allow us to see some patterns 00:00:11.993 --> 00:00:13.969 in the numbers themselves. 00:00:13.969 --> 00:00:20.118 So let me just start, so I’m gonna start at zero, one, two, 00:00:20.118 --> 00:00:30.213 three, four, five, six, seven. eight, and nine, 00:00:30.213 --> 00:00:32.233 and instead of, of course we know the next number is 10, 00:00:32.233 --> 00:00:34.848 which I could write down but instead of doing that 00:00:34.848 --> 00:00:37.703 I’m just going to copy and paste all of this. 00:00:37.703 --> 00:00:43.876 So copy and paste all of that and see what this does for us. 00:00:43.876 --> 00:00:46.693 So if I do that, how does that help us? 00:00:46.693 --> 00:00:48.547 Well we know the next number is 10, 00:00:48.547 --> 00:00:50.311 which one way to think about it is, 00:00:50.311 --> 00:00:52.652 it’s a one followed by a zero. 00:00:52.652 --> 00:00:53.786 What’s the number after that? 00:00:53.786 --> 00:00:56.715 Well it’s 11, which is a one followed by a one. 00:00:56.715 --> 00:00:57.616 What’s the number after that? 00:00:57.616 --> 00:00:59.793 Well it’s a 12, which is a one followed by a two, 00:00:59.793 --> 00:01:08.231 and then 13, 14, 15, 16, 17, 18, and 19. 00:01:08.231 --> 00:01:09.818 Well that was pretty neat. 00:01:09.818 --> 00:01:12.677 This next row of numbers as I went from 10 to 19 00:01:12.677 --> 00:01:14.724 looked just like the first ones, 00:01:14.724 --> 00:01:16.766 so the 2nd number is the same in yellow, 00:01:16.766 --> 00:01:19.789 but then I added a purple one to the front of it. 00:01:19.789 --> 00:01:23.025 And one way to think about it is, each of these numbers, 00:01:23.025 --> 00:01:27.441 the purple one that I added, that represents 10. 00:01:27.441 --> 00:01:31.130 So 11 could be viewed as 10 plus one, 00:01:31.130 --> 00:01:35.191 12 could be viewed as 10 plus two. 00:01:35.191 --> 00:01:37.768 Let’s see if this keeps working. 00:01:37.768 --> 00:01:40.607 So let’s take another row of numbers. 00:01:40.607 --> 00:01:43.419 So let’s take another row , my original row, 00:01:43.419 --> 00:01:45.910 and what do I get to after 19? 00:01:45.910 --> 00:01:51.174 Well of course after 19 we get to 20. 00:01:51.174 --> 00:02:03.507 So 20, two zero and then 21, 22, 23, 24, 25, 26, 27, 28, 29. 00:02:03.507 --> 00:02:06.218 I think you might start to see the pattern here. 00:02:06.218 --> 00:02:08.346 What are we gonna do for the next row? 00:02:08.346 --> 00:02:10.816 Well now we’re in the 30s. 00:02:10.816 --> 00:02:14.862 So the first number 30 is 30 plus zero, 00:02:14.862 --> 00:02:19.379 30 plus one, 30 plus two, 30 plus three which is 33, 00:02:19.379 --> 00:02:26.220 34, 35, 36, 37, 38, 39. 00:02:26.220 --> 00:02:29.027 So just doing that I think you already see the pattern. 00:02:29.027 --> 00:02:33.019 The number on the right we keep going from zero, one, two, 00:02:33.019 --> 00:02:34.295 three, four, five, six, seven, 00:02:34.295 --> 00:02:36.682 eight, nine, and then the number on the left, 00:02:36.682 --> 00:02:40.046 if we’re between 10 and 19, you’ll always have a one. 00:02:40.046 --> 00:02:42.386 If you’re between 20 and 29, you’ll always have a two. 00:02:42.386 --> 00:02:46.626 If you’re between 30 and 39, you’ll always have a three. 00:02:46.626 --> 00:02:48.247 Now how can I complete this 00:02:48.247 --> 00:02:51.026 going all the way to 99 pretty fast? 00:02:51.026 --> 00:02:53.588 Well let’s do that, so that’s going to be my 40s, 00:02:53.588 --> 00:02:56.522 I haven’t written it out yet. 00:02:56.522 --> 00:03:02.036 That’s going to be my 50s, this is going to be my 60s, 00:03:04.205 --> 00:03:13.484 70s, 80s, and then I have my 90s right over here. 00:03:13.484 --> 00:03:18.954 And so this one we already said this is going to be my 40s, 00:03:18.954 --> 00:03:24.074 this is going to be my 50s, this is going to be, 00:03:24.074 --> 00:03:27.785 I’m trying to make sure I use all my colors, my 60s, 00:03:27.785 --> 00:03:33.315 this is going to be my 70s, and then I have my 80s, 00:03:33.315 --> 00:03:39.452 and then of course I have my, let me do a color that, 00:03:39.452 --> 00:03:42.540 I’ll re-use magenta, I’ll have my 90s. 00:03:42.540 --> 00:03:44.971 So what if I woulda just take this, 00:03:44.971 --> 00:03:48.283 so let me just take this right over here, 00:03:48.283 --> 00:03:50.197 and copy and paste that. 00:03:50.197 --> 00:03:52.916 So copy, and then let me paste it. 00:03:52.916 --> 00:03:57.585 So now I have 41, 51, 61, 71, 81, and 91. 00:03:58.215 --> 00:04:03.196 Now I can do it over here, 42, 52, 62, 72, 82, and 92. 00:04:03.196 --> 00:04:07.126 And I can do it for each of these, for each of these now. 00:04:07.126 --> 00:04:12.378 So that’s, now, 44, 54, 64, 74, 84, and 94. 00:04:12.378 --> 00:04:16.487 And so when I do that we see the full pattern. 00:04:16.487 --> 00:04:19.930 We see the full pattern and I’m almost done. 00:04:19.930 --> 00:04:28.738 I’m almost done filling in my numbers from zero to 99. 00:04:28.738 --> 00:04:34.461 49, 59,69,79,89,99 and if we just wanna feel good, 00:04:34.461 --> 00:04:40.979 we could throw in, we could throw in a 100, 00:04:40.979 --> 00:04:44.902 a 100 right over there. 00:04:44.902 --> 00:04:47.109 And you’ll see the pattern still holds, we went from one, 00:04:47.109 --> 00:04:50.477 two, three, four, five, six, seven, eight, nine, 00:04:50.477 --> 00:04:55.123 and now we got to 10 followed by a zero. 00:04:55.123 --> 00:04:57.470 That was pretty neat.