1 00:00:00,500 --> 00:00:02,600 Now, let's do the exact same addition problem 2 00:00:02,600 --> 00:00:03,850 that we did in the last video. 3 00:00:03,850 --> 00:00:06,220 But I'm going to expand out these numbers so that we really 4 00:00:06,220 --> 00:00:07,810 understand what's going on when we're 5 00:00:07,810 --> 00:00:09,430 doing all of this carrying. 6 00:00:09,430 --> 00:00:11,490 So this 5 is in the hundreds place. 7 00:00:11,490 --> 00:00:14,730 So it really represents 5 hundreds or 500. 8 00:00:14,730 --> 00:00:17,670 3 represents 3 tens because it is in the tens place. 9 00:00:17,670 --> 00:00:19,150 So it represents 30. 10 00:00:19,150 --> 00:00:23,000 And the 6, well, it just represents 6 ones or 6. 11 00:00:23,000 --> 00:00:26,940 Likewise, this 3 represents 300. 12 00:00:26,940 --> 00:00:31,180 This 9 is 9 tens or 90. 13 00:00:31,180 --> 00:00:35,240 And this 8 just represents 8 ones or 8. 14 00:00:35,240 --> 00:00:37,590 And now we can add these two up. 15 00:00:37,590 --> 00:00:42,140 Now let's start in the right-most column-- this ones 16 00:00:42,140 --> 00:00:42,670 column. 17 00:00:42,670 --> 00:00:45,100 6 plus 8, we've already figured out, 18 00:00:45,100 --> 00:00:48,780 is equal to 14, which is the same thing as 10 plus 4. 19 00:00:54,064 --> 00:00:55,480 So let's write the part that's not 20 00:00:55,480 --> 00:00:57,390 a multiple of 10 in this ones column. 21 00:00:57,390 --> 00:00:58,650 So let's put that 4 there. 22 00:00:58,650 --> 00:01:00,530 And the part that is a multiple of 10, 23 00:01:00,530 --> 00:01:02,708 we can now carry into this tens column. 24 00:01:02,708 --> 00:01:04,999 And that's just to keep track of it-- just to make sure 25 00:01:04,999 --> 00:01:06,600 that we don't lose that 10, we're 26 00:01:06,600 --> 00:01:08,230 putting it into the tens column. 27 00:01:08,230 --> 00:01:09,780 Now we can add all the tens. 28 00:01:09,780 --> 00:01:14,700 10 plus 30 plus 90, we've already figured out is 130. 29 00:01:14,700 --> 00:01:18,220 Well the part that is not a multiple of 100, 30 00:01:18,220 --> 00:01:21,357 we can write in this tens column-- so the 30 part. 31 00:01:21,357 --> 00:01:23,190 And then the part that is a multiple of 100, 32 00:01:23,190 --> 00:01:24,810 we can put in the hundreds column. 33 00:01:24,810 --> 00:01:27,730 So we could put the 100 right over here. 34 00:01:27,730 --> 00:01:29,600 Notice, we've just carried the 1. 35 00:01:29,600 --> 00:01:32,110 But essentially, we've carried 100, because we put a 1 36 00:01:32,110 --> 00:01:33,160 in the hundreds place. 37 00:01:33,160 --> 00:01:36,700 10 plus 30 plus 90 is 100 plus 30. 38 00:01:36,700 --> 00:01:41,120 This is equal to 100 plus 30. 39 00:01:41,120 --> 00:01:42,410 That's all we've done. 40 00:01:42,410 --> 00:01:44,300 Now we can add the hundreds. 41 00:01:44,300 --> 00:01:49,000 100 plus 500 plus 300 we've already figured out is 900. 42 00:01:49,000 --> 00:01:51,520 So we can write it as 900. 43 00:01:51,520 --> 00:01:52,390 And we're done! 44 00:01:52,390 --> 00:01:54,640 We've figured out that 500 plus 30 plus 6, 45 00:01:54,640 --> 00:02:02,060 plus 300 plus 90 plus 8, is equal to 900 plus 30 plus 4, 46 00:02:02,060 --> 00:02:05,215 which is the same thing as 934. 47 00:02:05,215 --> 00:02:07,340 So hopefully this gives you a little bit more sense 48 00:02:07,340 --> 00:02:09,660 of what we're doing when we "carry the 1" every time. 49 00:02:09,660 --> 00:02:11,520 6 plus 8 is 14. 50 00:02:11,520 --> 00:02:12,940 We carried the 1. 51 00:02:12,940 --> 00:02:14,347 That 1 represents 10. 52 00:02:14,347 --> 00:02:15,930 It represents this 10 right over here. 53 00:02:15,930 --> 00:02:17,380 Just so we don't lose track of it. 54 00:02:17,380 --> 00:02:22,940 Then we say that 10 plus 30 plus 90 is equal to 130. 55 00:02:22,940 --> 00:02:25,190 So that's 30 plus 100. 56 00:02:25,190 --> 00:02:28,220 Then we add the hundreds together and we get 900.