Math Trick - multiply with lines - the five zero edition - Free Educational videos for Students in K-12

Math Trick - multiply with lines - the five zero edition - By tecmath

Transcript


00:0-1	Good day . Welcome to the Tech Math Channel .
00:01	What we're gonna be having a look at in this
00:02	video as a way of multiplying using lines and this
00:05	is a bit of a , uh , an add
00:07	on to a video . I've already made multiplying using
00:09	lines and this is going to be looking where we
00:11	are and how we can deal with it . So
00:13	we had a zero in the number or numbers that
00:15	are bigger numbers , they are six , sevens ,
00:17	eights and those sort of numbers , the numbers above
00:19	five . Uh , so the type of questions we
00:22	were looking at in this last year , I put
00:24	a link up for this , by the way ,
00:26	these sorts of ones . Um , so I'll put
00:27	the link up just during what I'm explaining this .
00:30	Uh , it's this type of question to say we
00:32	had 13 times 12 . And the way we do
00:38	this is as follows , we draw the 13 ,
00:40	we're going to be doing it using lines . Okay
00:42	. We did this using lines . So we went
00:43	as follows . We did the 13 like this one
00:46	, add one , 2 , 3 . Okay ,
00:50	that's 13 and 12 . We do this way .
00:52	one that one , two for 12 . Okay .
00:58	And then what we do is we separate these up
01:00	into the far corner . Here on the right ,
01:02	is the units part . The next to going along
01:06	is the 10s part and the next one going along
01:09	as 1/100 part . And we simply count intersections to
01:12	get our answers . I show you what I mean
01:13	by this women , 123456 So the unit was a
01:18	612345 The tens was a five and the hundreds was
01:24	that one ? So I answer 156 . So that's
01:29	it's a good little method . So like I said
01:30	, the the links should be up there uh ,
01:33	to do this . If not , please remind me
01:35	of occasionally make that error when I do that .
01:38	So I'm going to show you first off , because
01:41	you can imagine first off , this doesn't account for
01:44	the number zero . What do we do if we
01:45	have that ? But also what we do is we
01:47	have big numbers . So yeah , all of a
01:49	sudden you'd have lots and lots of intersections and how
01:51	we can go about uh working to eradicate that problem
01:56	. So we'll have a bit of a look .
01:57	Okay , look , I'm gonna be using colors ,
02:00	you might use a slight variance if you only have
02:02	one colour using , so dash lines or dots or
02:05	something like this . Okay , so I'll give you
02:07	an example of how we would deal with zero .
02:09	So , so we had 207 times 12 . So
02:17	first off , when we do this , I'm gonna
02:18	be doing a couple of different color lines are going
02:20	to where we're just dealing with one . So that's
02:23	where I'm going to say one and 12 I'm going
02:26	to use a blue line . So that's going to
02:28	denote sort of where one's a crossing one another just
02:31	bear with me . I get this for a minute
02:33	for zeros . I'm gonna use a different colour line
02:35	which is going to be read . Okay , so
02:37	I'll show you what I mean with this to say
02:39	what I do 207 now , whatever they were doing
02:41	is say 200 and they do one two For the
02:45	hundreds part for that zero part . Sorry , that
02:48	that was the hundreds part for the zero part zero
02:51	Like that . Just a Red Line and the seven
02:55	, I'm going to Draw seven lines . I'll show
02:57	you how to deal with this . I think on
02:59	the next question , we'll just deal with this variance
03:01	. So 4567 at 12 we had what ? And
03:09	one two . Okay , you're going to see here
03:14	not to extend those out a little bit . You're
03:16	gonna say , look , it's not perfect , but
03:19	you sort of can visually see that this is we
03:22	have the units part here , the far right part
03:25	, we have the next one along and the next
03:27	one along which is our tens , we have the
03:29	next one's along which are hundreds and the next one's
03:32	along , which is going to be thousands . So
03:35	we're gonna count in sections . Now , the big
03:37	difference will be here is where we're gonna have these
03:39	red lines intersection and you'll see what we do with
03:41	these . So first off for the units , we
03:43	have 123456789 10 , 11 , 12 , 13 ,
03:49	14 there . So we're gonna put four of these
03:51	down . I'm gonna put the answer up here running
03:52	our space down here and going to carry this one
03:56	. Okay . Where we have these intersections here ?
03:58	That's like zero times one . Okay . These are
04:01	the ones over here a lot . One times one
04:02	. And we're counting them because one times one is
04:04	one these long zero times 10 times one is zero
04:07	. So we're gonna be able to ignore those .
04:10	So we're just going to count these where the blue
04:12	ones across 1234567 Plus that one we carried is going
04:18	to be eight . Once again we have where the
04:22	reds crossing the blue with zero on the one cross
04:25	. So we're just ignoring that and we're going to
04:27	go 1234 And in the thousands we have two .
04:34	So my answer is 2484 . How did you go
04:39	with it ? Okay . I'll tell you what ,
04:41	I'll go through how I deal with the bigger numbers
04:45	because we had at seven and you're sure you saw
04:47	probably it was getting very are cumbersome and there's a
04:49	lot of Aha . Yeah , a lot of lines
04:51	and that sort of deal in intersections . That makes
04:53	a little bit harder . So we do have a
04:55	way that we can deal with those . Okay .
04:58	So so we had a lot of about 109 .
05:03	And to this we're going to multiply 72 . Okay
05:07	. Now we've got a couple of big numbers here
05:08	. We got the 97 . Also put a zero
05:10	in there just to deal with that extra little layer
05:13	of joy there . So 109 I'll show you how
05:17	we're going to do this . So the 100 stays
05:19	the same . Okay , the 100 . This is
05:21	one and a zero part of that you probably guessed
05:23	is this to do the nine I'm gonna use now
05:26	with third color . Okay , I'll use black .
05:31	And what this is going to be is where we
05:32	get a five . Okay , So we do a
05:38	a dying so that this would have a five and
05:42	we have word two three , four . Okay .
05:48	For the seven we're going to have yeah , we're
05:51	gonna start up here . We're going to have one
05:53	. You probably guessed it . 12 and for the
05:58	two part , we're going to have one , two
06:03	. Okay . So now I'm going to go through
06:05	and separate up our unit . So I started this
06:07	far bit here and I circle those . The next
06:11	part . The 10th Circle . These the next part
06:15	of the circle is the hundreds . The next part
06:18	of the circle , I'm just going to redo that
06:20	. It was a little bit rough . Okay ,
06:22	I'll circle That one . Did the thousands . So
06:29	there's a bit of a different here . I'll talk
06:31	about what we get to actually going to get to
06:32	that straight away . Because what you're gonna see is
06:34	where the black crosses . The blue . This is
06:36	like five times one . So we're gonna count each
06:37	one of these . Black crosses . Blue is five
06:39	times one is five , so 5 10 , 11
06:43	, 12 , 13 , 14 , 15 , 16
06:45	, 17 , 18 . And I carry the one
06:48	where the red crossing something zero times something . So
06:51	it's nothing , it's zero , sorry . Uh ,
06:54	this one's got a few little variations . This one's
06:56	got where blacks crossing black . That's for five times
06:58	in 555 25 . And where Blues Crossing White one
07:01	times 5 . Just five . So 25 , 30
07:05	35 , 45 , 55 56 57 58 59 60
07:11	61 62 63 64 . That's going to come for
07:15	carry the six . The reds are all going to
07:18	be counted out . So we've only got 12 here
07:21	. Two plus six is I'd Okay , get rid
07:25	of that . And here we have five 567 So
07:32	I answer 7,848 . And that's the way that you
07:36	can deal with these . Okay . Rather getting lots
07:38	and lots of intersections . Okay . What about to
07:42	go through a couple more where you you try to
07:44	answer them , so you see how you go .
07:46	Okay ? And yeah , you my my mistakes with
07:50	this . It's it's It's a good little visual method
07:53	. It's not necessarily always the fastest method , I
07:55	must say . Okay , so 206 Times 40 .
08:00	What about you ? Give that a go , pause
08:01	that give it a go see how you go .
08:04	Maybe we haven't got a maybe if you haven't got
08:08	uh colored pen , you could use dash lines here
08:10	, dotted lines of the five or certainly whichever you'll
08:13	be good with . So Anyway , the way that
08:17	would do this is as follows 206 . Hopefully you
08:19	got the answer . I was going to start doing
08:20	it now . I know you can pause me 200
08:24	at six . Did you get a oh look at
08:28	that . I called the Royal colour there . I'll
08:30	get rid of these . So I'll get rid of
08:31	those 200 at six . We have times that by
08:43	14 . So why and why ? Two three and
08:52	where that one of the four . So then I'll
08:54	get to that joyous part of our trying to circle
08:57	these . Okay , so this is our unit .
09:01	This is going to be 10s part . This is
09:04	going to be hundreds . And over here we have
09:08	our thousands . Did you get something like this ?
09:11	Let's can't . 5 10 15 21 2346 24 carry
09:17	the two These counselor . So we just left you
09:20	56 Plus two is 8 . We have This council's
09:28	out . We have 12345678 . And over here we
09:32	have one to our answer is 2,884 . Okay ,
09:38	I'll give you one last one of these . Hopefully
09:40	you went really well with that . Hopefully you're you
09:42	could if you did you see where you've made a
09:44	mistake ? That's okay . As you saw , I
09:47	made a mistake when I started doing it . So
09:49	, you know , it's easy to do . uh
09:53	607 Times 24 . Okay , last question . Give
09:58	us a guy . Okay , suppose it . All
10:01	right . 607 times 24 . So we have it's
10:05	fairly quickly . Okay , so this is our six
10:09	, A little bit bigger . 100 and 700 and
10:14	seven . Hopefully you got something that looks a bit
10:17	like this times 24 . So we have 24 ,
10:21	which is one , two and 4 one two three
10:28	for . Okay , you see , I'm being fairly
10:31	whatever here , as long as you can keep your
10:33	what you're doing in your head and what you're doing
10:35	fairly straight , you're pretty good . That's the units
10:37	. It's going to be the tens , this one
10:41	here is going to be our hundreds and that one
10:44	there is going to be a thousands . Alright ,
10:45	so no problem . Let's count them 5 10 15
10:49	2021 22 23 24 25 26 27 28 . Put
10:53	the eight down there . Put the two over here
10:55	across this one out because it's got the red there
10:57	. Okay ? So 5 10 11 , 12 13
10:59	14 15 16 . Put the six there , move
11:02	the one over here . Then we can count this
11:04	15 10 15 2021 22 23 24 25 . And
11:09	this one's counseled out . So they put that they're
11:12	five there , carry the 25 10 11 , 12
11:15	, 13 14 . Our answer 14,568 . So ,
11:22	how'd you go with that ? That's how you can
11:24	go about dealing with the fives and the Zeros .
11:28	It's it's not a bad method anyway . Let us
11:31	know what you think of that . Uh no ,
11:33	it's not gonna be great . Still when you do
11:34	99 times 99 or 99 times 998 . All right
11:39	. It does still get fairly whatever with that ,
11:42	but that's just the way you might modify . I
11:45	hope that helps anyway by

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Math Trick - multiply with lines - the five zero edition is a free educational video by tecmath.

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