How to multiply ANY numbers the fast way - Fast Math Trick - Free Educational videos for Students in K-12

How to multiply ANY numbers the fast way - Fast Math Trick - By tecmath

Transcript


00:0-1	Good day . Welcome to Tech Math Channel . What
00:02	we're gonna be having a look at in today's video
00:03	is a great little trick for multiplying 23 digit numbers
00:06	together , but that's not all . I'm going to
00:08	expand this out and show you how to multiply any
00:11	two numbers together . Okay . It's a great little
00:13	trick . Uh , this one is not gonna be
00:16	faster to calculator . I'm sorry , but it's still
00:18	much , much faster than probably the traditional method that
00:21	you have been taught anyway . If you like this
00:23	video , please remember to hit the like button and
00:25	subscribe and a big shout out to my patrons .
00:28	Always . Thank you . Always . Thank you .
00:30	Always . Thank you . So anyway , that much
00:32	further ado , let's launch into a question you ,
00:35	why don't you grab a pen and paper and see
00:36	if you can go faster than me ? Okay ,
00:39	so let's have a look at this first example ,
00:40	213 Multiplied by 323 . Go . All right ,
00:47	so we have three times three is nine . We
00:50	have three plus six is nine . We have six
00:53	plus two plus nine . Is 17 . Gonna put
00:56	the seven there carry the one we have four plus
00:58	three is seven plus that one there is an eight
01:01	and three times two is six . Did you get
01:03	the answer of 68,799 And more importantly , did you
01:08	do it faster than me ? Well , I'll tell
01:10	you what , I'm gonna show you how to do
01:11	this particular question . Okay . And I look this
01:15	is really , really easy then to actually expand that
01:17	further . And what's more is we don't have a
01:18	huge amount of working out there . Okay ? So
01:21	let's have a look at how it worked this out
01:23	. This particular method . Okay . So first off
01:26	what I did , is he gonna see here ?
01:28	We've got six numbers . Okay , I'm just going
01:30	to represent them here . Six dots . Okay .
01:32	And I'll show you what we're multiplying as we go
01:34	along . The first ones were multiplying is to get
01:36	our units , we have a unit here in a
01:38	unit here we're multiplying these two numbers and that gives
01:41	us our units answer . So three times three is
01:44	knowing for the next part of our answer for the
01:47	tens part where we have a tens times of units
01:50	and units time to tens . These are the ways
01:52	we can get tens . So we have one times
01:54	three which is three and three times two which is
01:56	six . And we're gonna add those together . So
01:58	three plus six is knowing . And that gives us
02:02	here tens part of our answer for our hundreds part
02:05	of our answer . We're going to be multiplying these
02:07	numbers . This one by this one this one by
02:09	this one . This one by this one . This
02:11	is 100 times units which gives us a hundreds tens
02:14	times tens , which also gives us a hundreds answer
02:16	and units times hundreds , which also gives us a
02:19	hundreds answers . And we're going to add our answers
02:21	together . So two times 3 is six . Okay
02:25	? I'll write that down there . One times two
02:27	is two and three times three is nine . And
02:30	we're gonna add these together . Six plus two is
02:32	eight plus nine is 17 . We're gonna put the
02:35	seven here and we're going to carry this one across
02:38	like you would with regular multiplication . All right ,
02:41	for thousands . Parts of Ariane to We're gonna see
02:44	here we're gonna be multiplying these ones . Okay ?
02:47	We have hundreds times tens and tens times hundreds .
02:51	Both of these , giving us thousands answers . So
02:53	two times two is four and one times three is
02:56	three plus this one here . So four plus three
02:59	is seven plus one is eight . And you guessed
03:03	it for the last part of your answer for the
03:05	tens of thousands were gonna be multiplying the hundreds by
03:08	the hundreds . Okay . So two times 3 is
03:12	six And there's our answer 68,799 . And you'll probably
03:18	notice that pattern there . The patterns are really ,
03:19	really important one to get . Okay , you're gonna
03:22	see . First off we multiply these , then we
03:24	multiply these ones and add them together . We multiply
03:26	these ones and added them together these ones and then
03:29	add them together and then these ones . So what
03:31	about , I'll give you an example for you to
03:33	try and then what we'll do is we'll go through
03:36	and have a look how to do these for different
03:39	types of questions that aren't three digit numbers . Okay
03:41	. And if you like this method by the way
03:43	, please remember like and subscribe . So what about
03:46	we have a look at another question . Okay .
03:48	What about we look at 324 Times 513 . What
03:55	about you give this a go . So the first
03:57	one you're gonna be multiplying ? Uh These two are
03:59	the units . Okay ? Four times three Is 12
04:02	. So I'm going to put the two down and
04:04	carry the one . The next one we're gonna multiply
04:06	it is to buy the three and the four by
04:08	the 1 to 2 times three is six . Four
04:11	times one has 46 plus four plus this one here
04:14	, six plus four is 10 plus this one is
04:17	11 . So we're gonna put that one here and
04:19	carry the one over . The next ones . We're
04:21	gonna be multiplying is a three x 3 . The
04:25	two times one and the four times five . Okay
04:28	, three times three is 92 times one is two
04:32	. Four times five is 20 . We're going to
04:34	add these altogether . So nine plus two is 11
04:37	plus 20 is 31 plus this one down here is
04:41	32 . So let's put the R . Two down
04:43	here and carry the three for the thousands parts of
04:46	our answer . We have two times five which is
04:48	10 and we have three times one , which is
04:51	three easy . 10 plus three is 13 plus is
04:55	three here is going to give us 16 . So
04:57	, I'm gonna put the six here And carry that
04:59	one . Finally we have three times five which is
05:03	15 plus this one here , which is 16 .
05:05	So , we put that whole thing down . We
05:07	have 166,212 . What a cool trick . Right .
05:12	Really , really simple . All right , now you
05:14	got that under your belt . What about I show
05:16	you the adaptions that you can make on this trick
05:18	. So you can use it for any number .
05:20	So first I'm going to show you just how to
05:22	multiply things like a two by two number , A
05:25	three by three number . And you'll see how you
05:27	can extend this out for a four by four .
05:29	Number of five by five , that sort of thing
05:31	. And then I'm gonna show you how you can
05:32	multiply things where it's not the same . So it's
05:34	like a two digit number by three digit number or
05:37	something like that . And how you might then go
05:39	about doing those and it's not a huge difference .
05:41	So first off , let me just put up the
05:43	pattern that you would use . Okay , so so
05:46	we have a two digit by two digit number to
05:48	get the units . What we're doing is we're multiplying
05:50	the two units numbers Then to get the 10s numbers
05:53	were multiplying the units by the 10s and 10s by
05:56	the units . Then to get the hundreds number ,
05:59	we're going the tens by the tens number . And
06:01	that's how we go about systematically working at our answer
06:04	for the three digit number . To get a units
06:06	would start over here we go . The units by
06:08	the units to get the tens would go attends by
06:11	the units and the units by the tens . To
06:14	get the hundreds number would go hundreds by the units
06:16	, tens by the tens , units by the hundreds
06:19	. To get the thousands , we'd go tens by
06:22	the hundreds and hundreds by the tens . And to
06:24	get the tens of thousands would multiply the hundreds by
06:28	the hundreds . And you can see this pattern here
06:29	and you can see how you can extend this out
06:31	to a four digit or a five digit set ,
06:33	Things like this . Okay . So what about if
06:36	we have a two digit by a three digit number
06:37	and I'll show you with an example . Okay ?
06:39	So so we multiply 23 times 341 . How would
06:47	I go about doing this ? All right , little
06:50	trick . And as soon as I do this one
06:52	little thing , you're going okay ? And I'll show
06:55	you what it is . I'll put a zero here
06:56	. Alright , we're just gonna three digit by a
06:58	three digit number now . Okay , One times three
07:01	or 3 times one is 3 . We have two
07:04	times one which is two and we have three times
07:07	four which is 12 to plus 12 is 14 .
07:09	So I put the four down , carry that little
07:11	one . We have zero times one . Nothing like
07:14	a +02483 times three is nine . So eight plus
07:20	nine and 17 plus that one there is 18 .
07:23	So I put the eight there carry the one .
07:25	Zero times four is 02 times three is six plus
07:30	one is seven and zero times three . Well that's
07:34	zero . So answer is 7843 . Anyway , that's
07:39	all there is for this trick . It's a really
07:41	simple little way of multiplying . It's a lot faster
07:44	than the way you've been taught to . Did you
07:47	like it ? If so please like and comment .
07:49	I did try to go through by the way and
07:50	actually explain what was happening at the same time .
07:52	I just thought I'd run and show you a trick
07:54	and saying this is it . You know , we
07:56	actually are taking care of all the tens in the
07:58	units and that sort of deal that you do with
07:59	other multiplication . It's just a more expedient way of
08:02	doing it . Uh , once again , thanks to
08:04	my patrons , the next video , we're actually having
08:07	a look at a Patreon requests , so I'm looking
08:09	forward to that anyway . Thank you for watching .
08:12	We'll see you next time . Bye .

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