WEBVTT 00:00:00.228 --> 00:00:04.714 Lets see if we can express 16 over 21 as an decimal 00:00:04.852 --> 00:00:06.355 Or we can call this sixteen twenty first. 00:00:06.370 --> 00:00:09.185 This is also sixteen divided by 21. 00:00:09.339 --> 00:00:12.610 So we can literally just divide 21 into 16. 00:00:12.718 --> 00:00:14.582 And because 21 is larger than 16, 00:00:14.613 --> 00:00:17.301 we're going to get something less than 1. 00:00:17.424 --> 00:00:22.113 So let's just literally divide 21 into 16. 00:00:22.205 --> 00:00:25.282 And we we're going to have some less than one, so lets add some decimal places here. 00:00:25.359 --> 00:00:31.216 We're going to round to the nearest thousandths in case our digits just keep going on and on and on. 00:00:31.339 --> 00:00:34.759 And let's start dividing, 21 goes into 1 zero times, 00:00:34.759 --> 00:00:36.724 21 goes into 16 zero times. 00:00:36.832 --> 00:00:41.727 21 goes into 160, well, 20 would go into 160 8 times, 00:00:41.773 --> 00:00:45.859 So let's try 7, lets see if 7 is the right thing. 00:00:46.166 --> 00:00:52.524 7 times 1 is 7, 7 times 2 is 14 and then when we subtract, 00:00:52.678 --> 00:00:54.529 we should get a remainder less than 21. 00:00:54.559 --> 00:00:59.562 If we picked the largest number here that goes into the largest number here, 00:00:59.686 --> 00:01:03.651 that if I multiply it by 21 I get close to 160 without going over. 00:01:03.682 --> 00:01:07.271 And so if we subtract we do get 13, we do get 13. 00:01:07.348 --> 00:01:10.570 So that worked, 13 is less than 21. 00:01:10.586 --> 00:01:13.240 And you could just subtract, I did it in my head right there, 00:01:13.302 --> 00:01:15.678 but you could re-group, you could say that this is a 10 00:01:15.678 --> 00:01:17.369 and then this would be a 5 00:01:17.430 --> 00:01:18.755 10 minus 7 is 3. 00:01:18.878 --> 00:01:20.105 5 minus 4 is 1, 00:01:20.151 --> 00:01:22.107 1 minus 1 is zero. 00:01:22.214 --> 00:01:25.953 Now lets bring down a zero 00:01:26.122 --> 00:01:30.279 21 goes into 130, so lets see, would 6 work? 00:01:30.587 --> 00:01:31.738 It looks like 6 would work 00:01:31.845 --> 00:01:34.769 6 times 21 is 126, so that looks like it works. 00:01:34.784 --> 00:01:36.665 So lets put a 6 there 00:01:36.695 --> 00:01:38.292 6 times 1 is 6 00:01:38.338 --> 00:01:42.468 6 times 2 is 120. There's a little bit of an art to this. 00:01:42.545 --> 00:01:43.876 Alright, now let's subtract. 00:01:44.015 --> 00:01:45.421 Once again, we can regroup, 00:01:45.483 --> 00:01:48.290 this would be a 10, we've taken 10 from 00:01:48.290 --> 00:01:50.716 essentially this 30, so this becomes a 2 00:01:50.808 --> 00:01:53.152 10 minus six is 4 00:01:53.352 --> 00:01:54.541 2 minus 2 is zero 00:01:54.618 --> 00:01:56.138 1 minus 1 is zero. 00:01:56.199 --> 00:02:00.329 Now let's bring down, now lets bring down another zero 00:02:00.329 --> 00:02:03.791 21 goes into 40, well, almost 2 times 00:02:03.930 --> 00:02:06.116 but not quite, so only 1 time. 00:02:06.301 --> 00:02:09.762 1 times 21 is 21, and now lets subtract 00:02:09.839 --> 00:02:12.269 This is a 10, this becomes a 3. 00:02:12.330 --> 00:02:14.239 10 minus 1 is 9 00:02:14.531 --> 00:02:17.885 3 minus 2 is 1 and we're going to have get 00:02:17.885 --> 00:02:21.315 this digit because we want to round to the nearest thousand. 00:02:21.376 --> 00:02:24.572 So if this is 5 or over we're going to round up 00:02:24.633 --> 00:02:28.084 if this is less than 5 we're going to round down. 00:02:28.192 --> 00:02:30.152 So let's bring another 0, lets bring another 00:02:30.182 --> 00:02:32.974 lets bring another zero down here 00:02:33.036 --> 00:02:38.098 and 21 goes into 190, lets see I think 9 will work 00:02:38.436 --> 00:02:41.135 Lets try 9, 9 times 1 is 9 00:02:41.243 --> 00:02:49.067 9 times 2 is 18, when you subtract 190 minus 189 is 1 00:02:49.343 --> 00:02:52.913 And we could keep going on and on but we already have 00:02:52.959 --> 00:02:54.925 enough digits to round to the nearest thousand. 00:02:55.017 --> 00:02:57.911 This digit right over here is greater than 00:02:58.126 --> 00:03:01.387 this is greater than or equal to 5, so we will round up 00:03:01.602 --> 00:03:03.957 in the thousandths place. 00:03:04.141 --> 00:03:05.808 So if we round to the nearest thousandths, 00:03:05.993 --> 00:03:09.370 we can say that this is 0.76 00:03:09.523 --> 00:03:14.400 and then this where we're going to round up, 762.