LONG DIVISION EXPLAINED | Divide 207 by 3 - By TucsonMathDoc
Transcript
00:00 | Welcome to another session of math license . We're doing | |
00:04 | a long division today . Yea , we're transforming a | |
00:08 | fraction into a long division . This shows up the | |
00:12 | up on the exam . So often it's very important | |
00:15 | you get this one handled what to do first . | |
00:18 | We got to set it up over the years . | |
00:20 | I have a really good analogy for you . The | |
00:23 | number on top goes inside the house , that the | |
00:25 | number of cookies you have , the number on the | |
00:27 | bottom is where your slippers are and they go outside | |
00:30 | the house that the number of people you have right | |
00:33 | , pretty easy to set up . Next question is | |
00:36 | where do we put the numbers ? Like where is | |
00:39 | the first digit of the answer goal ? Does it | |
00:43 | go right on top of the tool ? I'm often | |
00:46 | asked this question , there's a really , really easy | |
00:49 | way to find out . The answer is no , | |
00:52 | because the number of people outside three is bigger than | |
00:56 | the number of cookies you have inside looking at . | |
00:58 | That's why you have to go move one more digit | |
01:02 | over Alignment is very important . Now , here we | |
01:05 | have three is less than 20 , so I have | |
01:08 | 20 cookies inside and three people outside . This is | |
01:11 | why the answer is yes . Okay , now we | |
01:14 | got that out of the way . Next I want | |
01:16 | you to split your paper in half . You're going | |
01:19 | to do all the thinking and the scratch paper on | |
01:21 | the right hand side and the left hand side is | |
01:24 | where you're going to do the work Question you need | |
01:27 | to ask is how many times does three go into | |
01:29 | 20 without going over that ? Without going over part | |
01:33 | is very important because you don't want to not be | |
01:36 | a good host . Right ? How do we find | |
01:39 | out how many times three basically can cover 20 ? | |
01:43 | Well three times one is three , so on , | |
01:46 | so forth , three times five is 15 . You | |
01:48 | can see I'm using multiplication table to figure that out | |
01:52 | . Remember I said it without going over since three | |
01:55 | times 20 Uh seven is 21 . That's going over | |
01:58 | . That's why three times six is the answer I'm | |
02:01 | looking for . So the answer is six . Now | |
02:03 | , where do I put the six ? And what | |
02:05 | do I do with 18 ? So many digits ? | |
02:08 | Worry not , I have a really easy way for | |
02:10 | you to do first one . We're gonna put a | |
02:13 | six right on top of the digit zero . Remember | |
02:17 | its not on top of the two because we already | |
02:19 | said it , that doesn't cover right . three times | |
02:21 | 6 . On the outside you do the multiplication and | |
02:24 | then you put the answer back inside the house , | |
02:28 | white back into the inside the house again . You're | |
02:31 | gonna do subtraction . So three times six . Outside | |
02:34 | equal 18 , 18 goes right under the 20 . | |
02:37 | Make sure alignment is precise . Division is hard because | |
02:43 | alignment . Most kids don't take care of it . | |
02:46 | 20-18 is too . What do we do now ? | |
02:50 | Right , worry not . You've already done the hard | |
02:52 | part now . We just do rinse and repeat before | |
02:55 | we can do rinse and repeat . We need to | |
02:57 | figure out since two can't cover three , right ? | |
03:03 | Because we need to find the second digit to the | |
03:05 | number for the second , answer . For the second | |
03:08 | digit for the second answer . Try again . 2nd | |
03:12 | , digital for the answer . There we go . | |
03:14 | Since three is bigger than two , we need to | |
03:16 | go basically borrow a friend that's seven . We're going | |
03:21 | to bring it down . So our tool becomes 27 | |
03:24 | a magic friend . Okay , so from here it's | |
03:29 | really downhill . Rinse and repeat . How many times | |
03:32 | does three goes into 27 without going over ? You | |
03:36 | can match 27 but you can't go over . Right | |
03:38 | . How do we do that ? Remember from last | |
03:41 | step , rinse and repeat it . We're gonna use | |
03:44 | drum beat . Yeah , multiplication tables . So let's | |
03:49 | put this out Next time . How many times has | |
03:51 | three going to 27 without going over ? You can | |
03:55 | match it again . Right , I repeat again . | |
03:58 | You can match it , we can go over . | |
03:59 | So if your parents teaching your child at this point | |
04:03 | your child gets little fidgety , worry not they'll get | |
04:06 | so much better and so much quicker . Um If | |
04:10 | your first time doing this again , worry not it's | |
04:12 | fairly simple multiplication table . Over and over . This | |
04:15 | is how you get good at it . Three times | |
04:18 | 8 27 3 times nine is three times 8 , | |
04:21 | 24 . 3 times nine is 27 . So the | |
04:24 | the answer is nine . So how do we do | |
04:26 | , where do we put nine right on the roof | |
04:29 | ? three times 9 . Do the multiplication outside , | |
04:31 | bring 27 inside the house . And then you're gonna | |
04:35 | do you guessed it ? Subtraction ? Look at that | |
04:39 | . It's a perfect match Just like you and the | |
04:42 | math , right ? So answer is 69 . Do | |
04:47 | the subtraction make sure everything is clean on the left | |
04:50 | hand side , everything on the right is a scratch | |
04:52 | paper . Yeah . Good job . |
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