MULTIPLICAÇÃO \Prof. Gis/

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Gis com Giz Matemática
MULTIPLICAÇÃO Oi Genti. Sejam bem vindos ao meu canal. Sou a Prof. Gis e nessa aula explico a MULT...
Video Transcript:
Hi guys, so you already know all the multiplication tables but still have difficulty multiplying natural numbers? So I invite you to watch this class, shall we go? Take the opportunity to subscribe to the channel and give Gis a thumbs up.
So how do you do the multiplication? We have that traditional process, right, which you may have already learned, but here I want to explain to you in detail how to do multiplication, so maybe I'll do it in a different way than you're used to, but then it's good for you to see the real thing. meaning of multiplication, right, and then you can do all the others.
Well, when it comes to setting up the calculation, you know, I can put 34 on top or I can put 216, you'll choose what I recommend to students, put the one with the fewest numbers at the bottom, right, because then it's easier to do, so What am I going to do, I'm going to create 216 x 34. So, see that I put 34, which has two digits, at the bottom, right, in the bottom factor there's no problem, well, you're already used to doing this multiplication. Multiply 4 x 6 which is 24 then it goes up by two units, then you do four times one which is four with the two that went up which is six and then you do four times two which is eight, okay?
Well, you've done it this far, so that means you multiplied this four by each digit here, okay? So what is the next step you would take then? you would put a 0 here because you would be stopping multiplying the units and going to tens, isn't it because this four is representing four units and three is three tens, so I put zero in the unit and I'm going to go to tens then and That's why I put this zero here, continuing the calculation, I would do three times six, which gives 18, put the 18 here and go up by one, right, delete this two under one, I do three times 1= 3 with another 1 that went up= 4 and then to finish I do three times 2= 6 .
Now I'm going to add these two these two installments here and what will happen will be four six plus eight are 14 goes up to 1, 8 9, 9 with 4 are 13 under one and here are 7, so that means that the result of this multiplication is 7. 344 OK? So this is the way you already learned, you have to make sure it was, but then I'm going to do the same multiplication in another way now so you can better understand why I can put this zero here and I'll make this jump there.
Well then, isn't this 4 representing 4 units? So now I'm going to do the separate multiplication, I'm going to take 216 and I'm going to multiply it by those four units 4 units, leave the three alone, okay, let's just take four units. So it's going to do four times 6= 24, we already have the result here, right?
4 x 1= 4, 6, 4 x 2= 8 Ok? So when I multiplied these four units by 216, it gave me 864, but now what's left for me to do is multiply the three tens also by 216, so I'm going to do another multiplication here, 216 times three tens, but see I can't for just three here, because if I put just three here it will show three units, three tens, how many units are there in people? Three tens are 30 units , right?
our three tens then I put the 0 out as it is just below zero below the 0 and then I do the normal multiplication 3 x 6 are 18 go one three times 1= 3, 4 and 3x 2= 6 see the result here you see, but now what needs to be done, what I did here, I didn't add them up at the end, now I add these two values ​​too, so you see I did the same calculation but here it was all together, here I did it separately, maybe here's a lot of work, right? One count, two counts, now I'm going to do the addition, and here we did it in just one count, so that's why we do this practical process here, so now I'm going to take 864 and I'm going to add it with 6,480 ah and be careful when setting up this account here because ten units are hundreds and thousands are units. Remembering that these 6 of 6,480 are representing 6 units of thousands, they have to stay in the corresponding place, so I'm going to add this from here, it will be 4, 14, 8 9, 13, 1 and 7, 7,344, so why did I do it two ways?
so you can try to understand why we put a zero, oh you know what I've seen, there are people who don't put a zero here, I myself learned that way, I didn't put a 0, I came here, my teacher used to teach, they put a + Here we can jump to the tens place, but we put 0, right, because it's zeroing out the units, okay? And then I hope you try to understand the real meaning of doing these calculations one under the other and adding them up later, it's because I do this whole process here, right guys? Let's do one more example then to see if you really understand.
Let's go? Guys, look here in this example now we have three digits here three digits here and you choose which one you want to put on top. So let's go straight through that process here, right, do everything separately, I'm not going to do it together this time, okay.
So let's start putting together 123, so what should I do? I'm going to take 123 and I'm going to multiply it by 6, which are the six units here, ok, so that's x 6, oh, and if I wanted to put 486 here, put these here. Below you could remember that I said the order, in multiplication the order of the factors does not change the product, the product is the final result so you choose.
At that time I started with the ones that were here because they only had two digits and it was faster for us, so let's go. We are taking the units first, so it will be six times 3= 18 goes up to 1. 6 x 2 is 12 with 1= 13 goes up to 1.
6 times 1= 6 with 1= 7 so the multiplication of 6 units by 123 of 738 Ok , reserve that account there. Let's now move on to tens, so there are 8 tens now, so that means I should multiply 123 by 8 tens, it's the same thing as 80 units, so remember the diagram, I put eight here and put the zero out, which is faster to do like this right, so I just lower this zero and I just multiply the eight by the digits up here: 8 x 3 is 24, goes up to 2, right 8 x 2 to 16 with 2 that went up to 18, goes up to 1, 8 x1= 8 so it gives nine . So that means that 8 tens x 123 gave 9840 now let's go to the third to third calculation which is four hundreds now, so that means that four hundreds are 400 units I'm going to do 123 times 400 and now that I have two zeros in 400 I put two zeros out so put the four here and two zeros out there same diagram, below the 00 ok, then I do 4 x 3= 12 goes up to 1, 4 x 2= 8 with 1= 9 and 4 x 1= 4, 49,200.
So I have the three products here, right give the result of each multiplication. What should I do now? Now we must add these three results, remembering the order, right, people, unit ten hundred, so you have to put it correctly.
So let's start with the one that is the largest, so it will be 49,200, just remembering something here unit ten hundred thousand unit and ten thousand, okay? then I'm going to add it with 9840. So it's 9 thousand which presents nine thousand units, 840 and after 738 adding all of this.
Ah, but what if I wanted to put the 738 on top? It might be the same, okay? So now it will be eight here, so it will be four with three are seven then eight and two ten of 17 goes up to 1, 9= 10, 10 with 9 of 19 under 1 so here is 5.
So this means that the result of this multiplication will be be 59,778. Let's put 59,778 here, oh okay, I prefer to do the one that does it in just one perfect person, but I would like you to understand the meaning of doing the multiplication in that which is a single account, just a concentrated account, so here you already understand Third, I'm going to do it only on one account, so you understand, right, you're going to rock the other one now, shall we? So look at our third one now 4,365 x 241 so I'm going to do it all together in one account, okay?
So it will be 4. 365 x 241, let's do the process together now, 1 times five is five, one unit I'm doing here, right, then one times six is ​​six, one time 3 is 3, and one time four is four, perfect now I I go to the four tens here, so for that, as I'm doing the math in just one, I need to jump here from the units to the tens so I go there and put 0 units because I'm going here, remember what time I multiplied I put that zero, so now I'm going to do four times five which is 20 it will go up 2, 4 x 6 are 24 with that two that went up they are 26, go up 2 4 x 3= 12, 14 with that two that went up, go up 1, 4 x 4= 16 with 1 that went up 17 perfect and now what remains to do is multiply that two that it is representing two hundreds so I skip the zero of the unit and skip the 0 of the ten. So from here the beginning of the hundred is then going to be twice 5 and let's delete these numbers that came up here otherwise it gets confusing, right, and if you get confused here you get the count wrong.
Twice five is 10 under one twice 6= 12, 13 under 1 twice 3= 6 with 1 which went up seven and twice 4= 8 now I'm going to add it all up, okay? See how easier it is to do it this way here, it's actually faster, right? So here it will be five here six here nine because 3 + 6= 9, 4 plus 4 are 8 with 3 are 11, 7 with 1 gives 8 with 7 15 goes up to 1, 1 to 2, 2 with 8 to 10 so here we have 1,051,965 units, right guys?
Unit, oh really units, it went from 1 million so units, plural. So this is the result of our multiplication and see that I did it in just one calculation. Well guys, that was our lesson today, I hope you understood the meaning of multiplication, putting these zeros here, take a look at this place, you know, this one isn't right, folks, this one is just the business.
This one I skipped then this one, putting these zeros in then to perform the multiplication there if you prefer, until you get the hang of it, do it that way separately then when you understand it well you go and do a process here all together. Leave it in the comments if you liked it, if you have any questions, as far as possible I will respond to your comment and help you because I want you to be successful in your activities. Also, don't forget one thing, right?
Leave a thumbs up for Gis and subscribe to the channel, and in addition to all this I will ask you to share this video with your colleagues so that everyone knows how to do multiplication, agreed guys? So I'll see you in the next class! Goodbye.
. .
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