Long Division trick 2 - an easier way! - By tecmath
Transcript
| 00:00 | Welcome to the Tech Math Channel . What we're gonna | |
| 00:02 | be having a look at today is going to be | |
| 00:03 | having a look at part to sort of a video | |
| 00:06 | I've been doing , which is looking at an easy | |
| 00:08 | way of doing long division . So we're having the | |
| 00:10 | last lesson , we were looking at dividing 19 into | |
| 00:13 | numbers . This time we're going to be using numbers | |
| 00:15 | which end in nine . Also , they were going | |
| 00:17 | to start getting into harder numbers . But I really | |
| 00:20 | recommend you have a look at the link if you | |
| 00:21 | haven't had a look at the earlier video already . | |
| 00:23 | But anyway , we're going to move on now to | |
| 00:26 | numbers that still ending nine but get a little bit | |
| 00:27 | more complex are the first ones we're going to be | |
| 00:30 | dealing with . We're gonna be dealing still with multipliers | |
| 00:32 | and things like this . But I'm going to be | |
| 00:33 | dividing 29 into 3124 . And so let's have a | |
| 00:41 | look at how we do this . Now , last | |
| 00:43 | lesson we have to look at , we're having a | |
| 00:44 | look at these things called multiplies . First off , | |
| 00:47 | what we have to do is realize which number is | |
| 00:50 | this closest to in terms of 10 . So it's | |
| 00:51 | closest to 30 . So I'm going to put the | |
| 00:53 | three from the 30 there . The only thing we | |
| 00:55 | have to know is how many steps , How many | |
| 00:58 | numbers do we have to move to get to that | |
| 00:59 | 30 ? Which is a plus one . Okay . | |
| 01:02 | We have to add 1-29 to get 30 and this | |
| 01:05 | is known as how multiplier . Now the multiplier is | |
| 01:10 | not going to seem that important again in today's video | |
| 01:12 | , but I'm going to keep mentioning it because it's | |
| 01:14 | really , really anything to know that something is very | |
| 01:17 | important . Okay , the other thing to remember is | |
| 01:20 | this very last number is our remainder number . We | |
| 01:24 | we treat that a little bit differently . Okay , | |
| 01:26 | so let's start out doing this . So how do | |
| 01:29 | we do this ? Well , we start with this | |
| 01:30 | first number , so we got three and we divide | |
| 01:33 | three into it . So what's three divided by three | |
| 01:36 | ? That's one . Okay , That's always a nice | |
| 01:39 | easy one to work out . And we're not going | |
| 01:41 | to do much to that . Okay , this one | |
| 01:45 | here , as we're doing in the last video , | |
| 01:47 | our answer that we got for the previous numbers affects | |
| 01:51 | the numbers we get for this next part of our | |
| 01:53 | answer . Okay , This is kind of a cool | |
| 01:55 | thing I find with this , but the numbers we | |
| 01:57 | get previously affect our other answers to get the correct | |
| 02:01 | answer . Okay ? So what we do here ? | |
| 02:03 | Yes , we've got a okay , A one . | |
| 02:06 | And what we have to do is To this one | |
| 02:10 | . We add the number here , which is this | |
| 02:14 | number up here , times by a multiplier . So | |
| 02:16 | one times one Which is one . We get the | |
| 02:20 | answer of two and this is the number , we're | |
| 02:22 | dividing three into two , divided by three . Well | |
| 02:26 | we can't do we get a remainder of two ? | |
| 02:28 | I'm going to put that there and I'll get this | |
| 02:30 | answer of zero . Okay , did you get that | |
| 02:35 | ? We'll go through that again . And sorry . | |
| 02:39 | Here we go , where are we ? So there | |
| 02:42 | we go , 22 and we get this zero and | |
| 02:46 | we times it by the multiplier . So zero times | |
| 02:48 | one is nothing unfortunately . So we don't have to | |
| 02:51 | add anything to this . And then we divide this | |
| 02:53 | number by three , 22 divided by three equals seven | |
| 02:57 | . Up with the seven up there with the remainder | |
| 02:59 | of one . I'll put the one down here . | |
| 03:01 | Now what we're doing is we're working at the remainder | |
| 03:04 | . Okay , pretty easy this question , like changing | |
| 03:07 | one's perfect , purposely easier . Get harder . Next | |
| 03:10 | question . Okay , so this one here , what | |
| 03:12 | do we do ? We get 14 ? And what | |
| 03:17 | we again have to do is we have to add | |
| 03:19 | this number on which has been times by the multiplier | |
| 03:22 | . Okay , so seven times one is seven And | |
| 03:24 | we're going to add that to our 14 here . | |
| 03:27 | So we get the answer of 21 , this is | |
| 03:30 | our remainder remainder is 21 , So the answer is | |
| 03:34 | 107 remainder . 21 . Pretty cool . Right , | |
| 03:39 | Okay . Let me give you a harder question now | |
| 03:43 | . All right , Rub all those out . Keep | |
| 03:47 | the multiply there because we're going to be talking about | |
| 03:49 | him again and I'm not going to be letting him | |
| 03:51 | go but say we do 59 and we will divide | |
| 03:56 | into that . Well , we're going to divide that | |
| 04:00 | into 63,214 . So let's first off if we add | |
| 04:07 | one which is our multiply now . Okay ? We | |
| 04:10 | have to add one . And again that becomes our | |
| 04:15 | multiply . We get very very close . 26 Okay | |
| 04:19 | , so six goes into six once attack this three | |
| 04:23 | here . These three we add two . One times | |
| 04:30 | multiplier . Okay , so one times multiplier is one | |
| 04:33 | . So one times one is 13 plus one equals | |
| 04:36 | four . So four divided by six equals we just | |
| 04:40 | get a remainder of four . We're still getting a | |
| 04:42 | zero there . Were getting a zero there . We | |
| 04:44 | get a remainder of four there . So this leads | |
| 04:47 | us to the next number . Okay , So we've | |
| 04:53 | got 42 , 42 . We're going to add to | |
| 04:56 | that zero times the multiply . Which army is going | |
| 04:59 | to be zero . So 42 we now just divide | |
| 05:02 | by six . So 42 divided by six equals seven | |
| 05:06 | . Okay , this is a seven here . All | |
| 05:09 | right . All good . Let's get on to this | |
| 05:12 | next No . zero remainder there by the way . | |
| 05:15 | Okay . So what we do now is we get | |
| 05:17 | this one here . We're working at this number here | |
| 05:20 | . So this one and we add to this one | |
| 05:23 | seven times the multiplier because So seven times 1 is | |
| 05:29 | seven . So we're gonna add that on . So | |
| 05:32 | we get the answer of one plus seven equals eight | |
| 05:35 | . Now we divide six into it and we get | |
| 05:37 | the answer of one with a remainder of two . | |
| 05:40 | So there's my one and I'm gonna put it to | |
| 05:42 | down there . Now what you probably remember now and | |
| 05:45 | you probably you realized I might have forgotten . This | |
| 05:49 | is our remainder number . This last number . Okay | |
| 05:55 | , Now how do we work this number ? It's | |
| 05:56 | a slightly different one . We get this 24 here | |
| 05:59 | . And what we do is we add this times | |
| 06:03 | the multiply . So one times one we're going to | |
| 06:06 | add one to it and so 24 plus 21 plus | |
| 06:10 | one equals 25 . We get a remainder 25 and | |
| 06:15 | that's our answer . Pretty cool . Right ? The | |
| 06:18 | next video , we're going to start getting even harder | |
| 06:19 | than this , so make sure you know how to | |
| 06:21 | do those . It's really , really , really , | |
| 06:23 | really , really a much easier way than doing standard | |
| 06:26 | long division anyway . Any questions let us know , | |
| 06:29 | we'll see you next time . |
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