WEBVTT 00:00:00.500 --> 00:00:02.600 Now, let's do the exact same addition problem 00:00:02.600 --> 00:00:03.850 that we did in the last video. 00:00:03.850 --> 00:00:06.220 But I'm going to expand out these numbers so that we really 00:00:06.220 --> 00:00:07.810 understand what's going on when we're 00:00:07.810 --> 00:00:09.430 doing all of this carrying. 00:00:09.430 --> 00:00:11.490 So this 5 is in the hundreds place. 00:00:11.490 --> 00:00:14.730 So it really represents 5 hundreds or 500. 00:00:14.730 --> 00:00:17.670 3 represents 3 tens because it is in the tens place. 00:00:17.670 --> 00:00:19.150 So it represents 30. 00:00:19.150 --> 00:00:23.000 And the 6, well, it just represents 6 ones or 6. 00:00:23.000 --> 00:00:26.940 Likewise, this 3 represents 300. 00:00:26.940 --> 00:00:31.180 This 9 is 9 tens or 90. 00:00:31.180 --> 00:00:35.240 And this 8 just represents 8 ones or 8. 00:00:35.240 --> 00:00:37.590 And now we can add these two up. 00:00:37.590 --> 00:00:42.140 Now let's start in the right-most column-- this ones 00:00:42.140 --> 00:00:42.670 column. 00:00:42.670 --> 00:00:45.100 6 plus 8, we've already figured out, 00:00:45.100 --> 00:00:48.780 is equal to 14, which is the same thing as 10 plus 4. 00:00:54.064 --> 00:00:55.480 So let's write the part that's not 00:00:55.480 --> 00:00:57.390 a multiple of 10 in this ones column. 00:00:57.390 --> 00:00:58.650 So let's put that 4 there. 00:00:58.650 --> 00:01:00.530 And the part that is a multiple of 10, 00:01:00.530 --> 00:01:02.708 we can now carry into this tens column. 00:01:02.708 --> 00:01:04.999 And that's just to keep track of it-- just to make sure 00:01:04.999 --> 00:01:06.600 that we don't lose that 10, we're 00:01:06.600 --> 00:01:08.230 putting it into the tens column. 00:01:08.230 --> 00:01:09.780 Now we can add all the tens. 00:01:09.780 --> 00:01:14.700 10 plus 30 plus 90, we've already figured out is 130. 00:01:14.700 --> 00:01:18.220 Well the part that is not a multiple of 100, 00:01:18.220 --> 00:01:21.357 we can write in this tens column-- so the 30 part. 00:01:21.357 --> 00:01:23.190 And then the part that is a multiple of 100, 00:01:23.190 --> 00:01:24.810 we can put in the hundreds column. 00:01:24.810 --> 00:01:27.730 So we could put the 100 right over here. 00:01:27.730 --> 00:01:29.600 Notice, we've just carried the 1. 00:01:29.600 --> 00:01:32.110 But essentially, we've carried 100, because we put a 1 00:01:32.110 --> 00:01:33.160 in the hundreds place. 00:01:33.160 --> 00:01:36.700 10 plus 30 plus 90 is 100 plus 30. 00:01:36.700 --> 00:01:41.120 This is equal to 100 plus 30. 00:01:41.120 --> 00:01:42.410 That's all we've done. 00:01:42.410 --> 00:01:44.300 Now we can add the hundreds. 00:01:44.300 --> 00:01:49.000 100 plus 500 plus 300 we've already figured out is 900. 00:01:49.000 --> 00:01:51.520 So we can write it as 900. 00:01:51.520 --> 00:01:52.390 And we're done! 00:01:52.390 --> 00:01:54.640 We've figured out that 500 plus 30 plus 6, 00:01:54.640 --> 00:02:02.060 plus 300 plus 90 plus 8, is equal to 900 plus 30 plus 4, 00:02:02.060 --> 00:02:05.215 which is the same thing as 934. 00:02:05.215 --> 00:02:07.340 So hopefully this gives you a little bit more sense 00:02:07.340 --> 00:02:09.660 of what we're doing when we "carry the 1" every time. 00:02:09.660 --> 00:02:11.520 6 plus 8 is 14. 00:02:11.520 --> 00:02:12.940 We carried the 1. 00:02:12.940 --> 00:02:14.347 That 1 represents 10. 00:02:14.347 --> 00:02:15.930 It represents this 10 right over here. 00:02:15.930 --> 00:02:17.380 Just so we don't lose track of it. 00:02:17.380 --> 00:02:22.940 Then we say that 10 plus 30 plus 90 is equal to 130. 00:02:22.940 --> 00:02:25.190 So that's 30 plus 100. 00:02:25.190 --> 00:02:28.220 Then we add the hundreds together and we get 900.