0:00:00.730,0:00:04.267
I think you've probably heard the word divide before,

0:00:04.267,0:00:06.730
where someone tells you to divide something up.

0:00:06.730,0:00:10.450
Divide the money between you and your brother

0:00:10.450,0:00:12.650
or between you and your buddy

0:00:12.650,0:00:14.640
And it essentially means to cut up something.

0:00:14.640,0:00:20.458
So let me write the word divide.

0:00:20.458,0:00:24.328
Lets's say that I have four quarters.

0:00:24.328,0:00:27.500
Do my best to draw the quarters.

0:00:27.500,0:00:32.320
If I have four quarters just like that

0:00:32.320,0:00:36.030
Thats's my rendition of George Washington on the quarters.

0:00:36.030,0:00:37.620
And lets say there's two of us,

0:00:37.620,0:00:40.550
and we're going to divide the quarters between us.

0:00:40.550,0:00:42.520
So this is me right here.

0:00:42.520,0:00:45.870
Let me try my best to draw me.

0:00:45.870,0:00:48.760
So that's me right there.

0:00:48.760,0:00:51.160
Let's see, I have a lot of hair.

0:00:51.160,0:00:55.705
And then this is you right there.

0:00:55.705,0:00:57.300
I'll do my best.

0:00:57.300,0:00:59.270
Let's say your bald.

0:00:59.270,0:01:04.407
But you have side burns.

0:01:04.407,0:01:09.077
Maybe you have a little bit of beard.

0:01:09.090,0:01:10.317
So that's you, that's me,

0:01:10.317,0:01:15.520
and we're going to divide these four quarters between the two of us.

0:01:15.520,0:01:20.876
So notice, we have four quarters

0:01:20.876,0:01:23.580
and we're going to divide between the two of us.

0:01:23.580,0:01:26.540
There are two of us

0:01:26.540,0:01:28.740
And I want to stress the the number two

0:01:28.740,0:01:31.880
So we're gong to divide four quarters by two.

0:01:31.880,0:01:34.480
We're going to divide it between the two of us.

0:01:34.480,0:01:36.900
And you've probably done something like this.

0:01:36.900,0:01:37.540
What happens?

0:01:37.540,0:01:40.230
Well, each of us are going to get two quarters

0:01:40.230,0:01:41.290
So let me divide it.

0:01:41.290,0:01:43.180
We're going to divide it into two.

0:01:43.180,0:01:46.060
Essentially what I did do is I take the four quarters

0:01:46.075,0:01:48.954
and I divide it into two equal groups.

0:01:48.954,0:01:51.697
Two equal groups.

0:01:51.712,0:01:53.931
And that's what division is.

0:01:53.931,0:01:57.620
We cut this group of quarters into two equal groups.

0:01:57.620,0:02:01.012
SO when you divide four quarters into to two groups,

0:02:01.012,0:02:08.061
so this was four quarters right there.

0:02:08.061,0:02:09.592
And you want to divide it into to two groups.

0:02:09.592,0:02:11.770
This is group one.

0:02:11.770,0:02:16.530
Group one right here

0:02:16.530,0:02:19.380
And this is group two right here.

0:02:19.380,0:02:21.890
How many numbers are in each group?

0:02:21.890,0:02:23.990
Or how many quarters are in each group?

0:02:23.990,0:02:26.870
Well, in each group I have one, two quarters.

0:02:26.870,0:02:28.660
I'll need to use a brighter color.

0:02:28.660,0:02:31.260
I have one, two quarters in each group.

0:02:31.260,0:02:34.040
One quarter and two quarters in each group.

0:02:34.040,0:02:36.153
So write this out mathematically.

0:02:36.153,0:02:37.855
I think this is something

0:02:37.855,0:02:40.728


0:02:40.728,0:02:42.882


0:02:42.882,0:02:44.066


0:02:44.066,0:02:47.330


0:02:47.330,0:02:50.360


0:02:50.360,0:02:55.270


0:02:55.270,0:02:56.980


0:02:56.980,0:03:03.758


0:03:03.758,0:03:07.500


0:03:07.500,0:03:11.030


0:03:11.030,0:03:14.953


0:03:14.953,0:03:17.850


0:03:17.850,0:03:20.361


0:03:20.361,0:03:22.918


0:03:22.918,0:03:24.388


0:03:24.388,0:03:25.149


0:03:25.149,0:03:29.260


0:03:29.260,0:03:32.822


0:03:32.822,0:03:36.328


0:03:36.330,0:03:42.564


0:03:42.564,0:03:48.694


0:03:48.694,0:03:52.849


0:03:52.849,0:03:55.886


0:03:55.901,0:03:58.538


0:03:58.538,0:04:01.400


0:04:01.400,0:04:03.600


0:04:03.600,0:04:08.681


0:04:08.681,0:04:10.900


0:04:10.900,0:04:14.800


0:04:14.800,0:04:17.150


0:04:17.150,0:04:18.590


0:04:18.590,0:04:23.030


0:04:23.030,0:04:25.050


0:04:25.050,0:04:27.260


0:04:27.260,0:04:28.210


0:04:28.210,0:04:34.370


0:04:34.370,0:04:36.030


0:04:36.030,0:04:37.700


0:04:37.700,0:04:41.059


0:04:41.059,0:04:43.730


0:04:43.730,0:04:47.384


0:04:47.384,0:04:48.970


0:04:48.970,0:04:50.840


0:04:50.840,0:04:52.770


0:04:52.770,0:04:54.580


0:04:54.580,0:04:56.564


0:04:56.564,0:05:02.470


0:05:02.470,0:05:04.910


0:05:04.910,0:05:10.350


0:05:10.350,0:05:12.120


0:05:12.120,0:05:13.510


0:05:13.510,0:05:15.140


0:05:15.140,0:05:20.060


0:05:20.060,0:05:22.384


0:05:22.384,0:05:26.790


0:05:26.790,0:05:29.880


0:05:29.880,0:05:31.392


0:05:31.392,0:05:33.110


0:05:33.110,0:05:38.150


0:05:38.150,0:05:42.936


0:05:42.952,0:05:47.460


0:05:47.460,0:05:51.598


0:05:51.600,0:05:54.290


0:05:54.290,0:05:56.165


0:05:56.165,0:05:57.521


0:05:57.521,0:06:02.710


0:06:02.710,0:06:04.260


0:06:04.260,0:06:05.960


0:06:05.960,0:06:09.490


0:06:09.490,0:06:12.930


0:06:12.930,0:06:16.040


0:06:16.040,0:06:21.725


0:06:21.725,0:06:26.674


0:06:26.674,0:06:29.950


0:06:29.950,0:06:33.230


0:06:33.230,0:06:34.550


0:06:34.550,0:06:36.908


0:06:36.908,0:06:42.120


0:06:42.120,0:06:43.720


0:06:43.720,0:06:48.483


0:06:48.483,0:06:51.740


0:06:51.740,0:06:54.850


0:06:54.850,0:06:58.780


0:06:58.780,0:07:03.286


0:07:03.286,0:07:06.725


0:07:06.725,0:07:08.674


0:07:08.674,0:07:11.500


0:07:11.500,0:07:12.541


0:07:12.541,0:07:14.730


0:07:14.730,0:07:16.400


0:07:16.400,0:07:21.683


0:07:21.683,0:07:26.420


0:07:26.420,0:07:29.041


0:07:29.041,0:07:31.200


0:07:31.200,0:07:32.920


0:07:32.920,0:07:36.640


0:07:36.640,0:07:38.690


0:07:38.690,0:07:40.900


0:07:40.900,0:07:42.990


0:07:42.990,0:07:44.580


0:07:44.580,0:07:45.920


0:07:45.920,0:07:47.390


0:07:47.390,0:07:49.250


0:07:49.250,0:07:51.070


0:07:51.070,0:07:57.706


0:07:57.706,0:08:00.690


0:08:00.690,0:08:03.280


0:08:03.280,0:08:08.721


0:08:08.721,0:08:13.290


0:08:13.290,0:08:19.508


0:08:19.508,0:08:26.115


0:08:26.115,0:08:28.477


0:08:28.490,0:08:29.840


0:08:29.840,0:08:37.292


0:08:37.292,0:08:40.792


0:08:40.792,0:08:44.360


0:08:44.360,0:08:46.401


0:08:46.401,0:08:48.090


0:08:48.090,0:08:50.900


0:08:50.900,0:08:53.840


0:08:53.840,0:08:56.450


0:08:56.450,0:08:57.960


0:08:57.960,0:09:01.240


0:09:01.240,0:09:03.260


0:09:03.260,0:09:04.840


0:09:04.840,0:09:05.968


0:09:05.968,0:09:07.522


0:09:07.522,0:09:09.530


0:09:09.530,0:09:12.182


0:09:12.182,0:09:13.368


0:09:13.368,0:09:18.990


0:09:18.990,0:09:23.058


0:09:23.070,0:09:24.360


0:09:24.360,0:09:33.963


0:09:33.963,0:09:35.863


0:09:35.870,0:09:40.600


0:09:40.600,0:09:43.360


0:09:43.360,0:09:51.170


0:09:51.170,0:09:54.108


0:09:54.108,0:09:57.140


0:09:57.140,0:09:58.923


0:09:58.923,0:09:59.899


0:09:59.899,0:10:02.521


0:10:02.521,0:10:04.820


0:10:04.820,0:10:06.570


0:10:06.570,0:10:11.100


0:10:11.100,0:10:13.330


0:10:13.330,0:10:15.051


0:10:15.051,0:10:18.235


0:10:18.235,0:10:20.793


0:10:20.793,0:10:24.090


0:10:24.090,0:10:28.102


0:10:28.102,0:10:32.395


0:10:32.395,0:10:34.802


0:10:34.802,0:10:36.670


0:10:36.670,0:10:38.970


0:10:38.970,0:10:45.870


0:10:45.890,0:10:49.348


0:10:49.348,0:10:53.010


0:10:53.010,0:11:00.802


0:11:00.802,0:11:01.980


0:11:01.980,0:11:05.918


0:11:05.918,0:11:08.414


0:11:08.414,0:11:10.480


0:11:10.480,0:11:12.905


0:11:12.905,0:11:14.845


0:11:14.845,0:11:19.340


0:11:19.340,0:11:23.340


0:11:23.340,0:11:24.188


0:11:24.188,0:11:26.666


0:11:26.666,0:11:27.996


0:11:27.996,0:11:30.750


0:11:30.750,0:11:35.210


0:11:35.210,0:11:38.190


0:11:38.190,0:11:44.474


0:11:44.474,0:11:47.110


0:11:47.110,0:11:49.666


0:11:49.666,0:11:51.840


0:11:51.840,0:11:55.200


0:11:55.200,0:11:56.501


0:11:56.501,0:12:00.884


0:12:00.884,0:12:02.770


0:12:02.770,0:12:09.420


0:12:09.420,0:12:12.180


0:12:12.180,0:12:13.892


0:12:13.892,0:12:17.730


0:12:17.730,0:12:19.870


0:12:19.870,0:12:21.680


0:12:21.680,0:12:27.720


0:12:27.720,0:12:33.010


0:12:33.010,0:12:34.330


0:12:34.330,0:12:37.058


0:12:37.058,0:12:38.684


0:12:38.684,0:12:40.110


0:12:40.110,0:12:42.100


0:12:42.100,0:12:43.780


0:12:43.780,0:12:45.550


0:12:45.550,0:12:49.843


0:12:49.843,0:12:53.450


0:12:53.450,0:12:56.610


0:12:56.610,0:12:59.110


0:12:59.110,0:13:01.900


0:13:01.900,0:13:03.689


0:13:03.689,0:13:08.380


0:13:08.380,0:13:10.688


0:13:10.688,0:13:16.740


0:13:16.740,0:13:20.706


0:13:20.710,0:13:21.790


0:13:21.790,0:13:26.110


0:13:26.110,0:13:26.967


0:13:26.983,0:13:36.348


0:13:36.350,0:13:39.580


0:13:39.580,0:13:47.390


0:13:47.390,0:13:48.330


0:13:48.330,0:13:51.850


0:13:51.850,0:13:55.510


0:13:55.510,0:13:57.930


0:13:57.930,0:13:59.924


0:13:59.924,0:14:01.990


0:14:01.990,0:14:05.434


0:14:05.434,0:14:10.070


0:14:10.070,0:14:11.680


0:14:11.680,0:14:14.505


0:14:14.505,0:14:16.872


0:14:16.872,0:14:18.270


0:14:18.270,0:14:20.660


0:14:20.660,0:14:23.405


0:14:23.405,0:14:27.618


0:14:27.618,0:14:28.704


0:14:28.704,0:14:31.125


0:14:31.125,0:14:36.027


0:14:36.027,0:14:38.502


0:14:38.502,0:14:40.060


0:14:40.060,0:14:42.750


0:14:42.750,0:14:43.360


0:14:43.360,0:14:45.971


0:14:45.971,0:14:48.950


0:14:48.950,0:14:51.860


0:14:51.860,0:14:55.960


0:14:55.960,0:14:59.140


0:14:59.140,0:15:01.650


0:15:01.650,0:15:03.980


0:15:03.980,0:15:05.630


0:15:05.630,0:15:08.530


0:15:08.530,0:15:09.690


0:15:09.690,0:15:12.160


0:15:12.160,0:15:15.090


0:15:15.090,0:15:17.919


0:15:17.919,0:15:19.578


0:15:19.578,0:15:21.090


0:15:21.090,0:15:28.089


0:15:28.089,0:15:28.858


0:15:28.858,0:15:35.765


0:15:35.765,0:15:37.542


0:15:37.542,0:15:41.660


0:15:41.660,0:15:43.605


0:15:43.605,0:15:45.529


0:15:45.529,0:15:46.790


0:15:46.790,0:15:52.100


0:15:52.100,0:15:55.019


0:15:55.019,0:15:57.655


0:15:57.655,0:16:01.219


0:16:01.219,0:16:02.683


0:16:02.683,0:16:06.062


0:16:06.062,0:16:09.070


0:16:09.070,0:16:11.360


0:16:11.360,0:16:13.070


0:16:13.070,0:16:15.710


0:16:15.710,0:16:17.230


0:16:17.230,0:16:21.430


0:16:21.430,0:16:25.130


0:16:25.130,0:16:27.500


0:16:27.500,0:16:29.750


0:16:29.750,0:16:33.200


0:16:33.200,0:16:35.030


0:16:35.030,0:16:38.490


0:16:38.490,0:16:40.080


0:16:40.080,0:16:42.950


0:16:42.950,0:16:47.240


0:16:47.240,0:16:51.010


0:16:51.010,0:16:54.170


0:16:54.170,0:16:55.460


0:16:55.460,0:16:59.210


0:16:59.210,0:17:01.460