0:00:00.000,0:00:00.500


0:00:00.500,0:00:02.600
Now, let's do the exact[br]same addition problem

0:00:02.600,0:00:03.850
that we did in the last video.

0:00:03.850,0:00:06.220
But I'm going to expand out[br]these numbers so that we really

0:00:06.220,0:00:07.810
understand what's[br]going on when we're

0:00:07.810,0:00:09.430
doing all of this carrying.

0:00:09.430,0:00:11.490
So this 5 is in[br]the hundreds place.

0:00:11.490,0:00:14.730
So it really represents[br]5 hundreds or 500.

0:00:14.730,0:00:17.670
3 represents 3 tens because[br]it is in the tens place.

0:00:17.670,0:00:19.150
So it represents 30.

0:00:19.150,0:00:23.000
And the 6, well, it just[br]represents 6 ones or 6.

0:00:23.000,0:00:26.940
Likewise, this 3 represents 300.

0:00:26.940,0:00:31.180
This 9 is 9 tens or 90.

0:00:31.180,0:00:35.240
And this 8 just[br]represents 8 ones or 8.

0:00:35.240,0:00:37.590
And now we can add these two up.

0:00:37.590,0:00:42.140
Now let's start in the[br]right-most column-- this ones

0:00:42.140,0:00:42.670
column.

0:00:42.670,0:00:45.100
6 plus 8, we've[br]already figured out,

0:00:45.100,0:00:48.780
is equal to 14, which is[br]the same thing as 10 plus 4.

0:00:48.780,0:00:54.064


0:00:54.064,0:00:55.480
So let's write the[br]part that's not

0:00:55.480,0:00:57.390
a multiple of 10 in[br]this ones column.

0:00:57.390,0:00:58.650
So let's put that 4 there.

0:00:58.650,0:01:00.530
And the part that[br]is a multiple of 10,

0:01:00.530,0:01:02.708
we can now carry into[br]this tens column.

0:01:02.708,0:01:04.999
And that's just to keep track[br]of it-- just to make sure

0:01:04.999,0:01:06.600
that we don't lose[br]that 10, we're

0:01:06.600,0:01:08.230
putting it into the tens column.

0:01:08.230,0:01:09.780
Now we can add all the tens.

0:01:09.780,0:01:14.700
10 plus 30 plus 90, we've[br]already figured out is 130.

0:01:14.700,0:01:18.220
Well the part that is[br]not a multiple of 100,

0:01:18.220,0:01:21.357
we can write in this tens[br]column-- so the 30 part.

0:01:21.357,0:01:23.190
And then the part that[br]is a multiple of 100,

0:01:23.190,0:01:24.810
we can put in the[br]hundreds column.

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So we could put the[br]100 right over here.

0:01:27.730,0:01:29.600
Notice, we've just[br]carried the 1.

0:01:29.600,0:01:32.110
But essentially, we've carried[br]100, because we put a 1

0:01:32.110,0:01:33.160
in the hundreds place.

0:01:33.160,0:01:36.700
10 plus 30 plus[br]90 is 100 plus 30.

0:01:36.700,0:01:41.120
This is equal to 100 plus 30.

0:01:41.120,0:01:42.410
That's all we've done.

0:01:42.410,0:01:44.300
Now we can add the hundreds.

0:01:44.300,0:01:49.000
100 plus 500 plus 300 we've[br]already figured out is 900.

0:01:49.000,0:01:51.520
So we can write it as 900.

0:01:51.520,0:01:52.390
And we're done!

0:01:52.390,0:01:54.640
We've figured out that[br]500 plus 30 plus 6,

0:01:54.640,0:02:02.060
plus 300 plus 90 plus 8, is[br]equal to 900 plus 30 plus 4,

0:02:02.060,0:02:05.215
which is the same thing as 934.

0:02:05.215,0:02:07.340
So hopefully this gives[br]you a little bit more sense

0:02:07.340,0:02:09.660
of what we're doing when we[br]"carry the 1" every time.

0:02:09.660,0:02:11.520
6 plus 8 is 14.

0:02:11.520,0:02:12.940
We carried the 1.

0:02:12.940,0:02:14.347
That 1 represents 10.

0:02:14.347,0:02:15.930
It represents this[br]10 right over here.

0:02:15.930,0:02:17.380
Just so we don't[br]lose track of it.

0:02:17.380,0:02:22.940
Then we say that 10 plus[br]30 plus 90 is equal to 130.

0:02:22.940,0:02:25.190
So that's 30 plus 100.

0:02:25.190,0:02:28.220
Then we add the hundreds[br]together and we get 900.

0:02:28.220,0:02:29.767