1 00:00:00,000 --> 00:00:00,620 2 00:00:00,620 --> 00:00:03,840 A ticket agent sells 42 tickets to a play. 3 00:00:03,839 --> 00:00:06,240 The tickets cost $29 each. 4 00:00:06,240 --> 00:00:10,600 Use rounding to estimate the total dollars taken in from 5 00:00:10,599 --> 00:00:12,320 the sale of the tickets. 6 00:00:12,320 --> 00:00:16,949 Now if we wanted the exact number, we could say 42 times 7 00:00:16,949 --> 00:00:19,710 29, and we could work out the multiplication, but they 8 00:00:19,710 --> 00:00:21,429 essentially want us to be able to do it in our head. 9 00:00:21,429 --> 00:00:24,309 We want to round the numbers first and then multiply. 10 00:00:24,309 --> 00:00:27,160 So if we want to round, and really we just have two places 11 00:00:27,160 --> 00:00:28,670 here, so if we're going to round anything, it's going to 12 00:00:28,670 --> 00:00:31,130 be to the nearest ten because that's the largest place we 13 00:00:31,129 --> 00:00:34,670 have. So if we round 42 to the nearest ten-- we've done this 14 00:00:34,670 --> 00:00:38,679 drill many times-- 2 in the ones place is the less than 5, 15 00:00:38,679 --> 00:00:40,030 so we're going to round down. 16 00:00:40,030 --> 00:00:41,539 The nearest ten is 40. 17 00:00:41,539 --> 00:00:44,049 We're going to round down to 40. 18 00:00:44,049 --> 00:00:48,939 29, if we round to the nearest ten, 9 in the ones place is 19 00:00:48,939 --> 00:00:54,670 greater than or equal to 5, so we round up. 20 00:00:54,670 --> 00:00:57,100 The nearest ten is 30. 21 00:00:57,100 --> 00:00:58,240 And another way to think about it. 22 00:00:58,240 --> 00:01:00,990 Just say, well, you know, 42, that's pretty close to 40. 23 00:01:00,990 --> 00:01:02,870 29 is pretty close to 30. 24 00:01:02,869 --> 00:01:05,450 Those are literally the nearest multiples of ten that 25 00:01:05,450 --> 00:01:07,519 I can figure out, so now I can multiply. 26 00:01:07,519 --> 00:01:10,179 27 00:01:10,180 --> 00:01:12,900 And here, once again, we can use-- you could call it a 28 00:01:12,900 --> 00:01:15,540 trick, but hopefully, you understand why it works. 29 00:01:15,540 --> 00:01:17,830 But 30 times 40, instead of you saying, well, this is 30 00:01:17,829 --> 00:01:21,049 going to be the same thing as 3 times 4, but we're going to 31 00:01:21,049 --> 00:01:23,289 put two zeroes at the end of it. 32 00:01:23,290 --> 00:01:26,180 30 times 40 is the same thing as 3 times 4 with two zeroes, 33 00:01:26,180 --> 00:01:26,860 so let's do that. 34 00:01:26,859 --> 00:01:32,650 So you have 3 times 4 is 12, which we know, and then we 35 00:01:32,650 --> 00:01:34,340 have two zeroes. 36 00:01:34,340 --> 00:01:36,820 We got that zero, so let's stick that zero there, and 37 00:01:36,819 --> 00:01:38,759 then we got that blue zero there, so let's 38 00:01:38,760 --> 00:01:40,079 put that over there. 39 00:01:40,079 --> 00:01:46,079 So they're going to have roughly $1,200 taken it from 40 00:01:46,079 --> 00:01:47,399 sales of the tickets. 41 00:01:47,400 --> 00:01:49,510 That is our estimate. 42 00:01:49,510 --> 00:01:50,067