Okay, yep. Welcome to this portion of math for electronics. We're going to talk about multiplication now. And again, I've got my help number up there. Nuff said about that. And one of the things that I want to talk about is some of the roles and some of the terminology.

Multiplication can be done in any order. So for instance, three times two equals six, and two times three equals six. So it's, it's like we talked about addition, addition can be done, you can add the numbers up in different order and get the same answer or the sum. Same thing with multiplication. I can multiply the fact doors here. We just introduced their terminology.

All right. Those are called the backdoors they're both called the factors. And this one here, and I'm going to say the top one is called the multiple can. And the one on the bottom by the multiplication sign right there is called the multiplier. They're both called factors arm. I can multiply that and get the product six, so it doesn't matter.

And guess what, if I reverse these, like I'm showing here, then the three becomes a multiplier, and the two becomes a multiple multiplication can. So in multiplication, again, we can do it in any order. The two numbers that we use to get our product are called factors. The top number is called the multiple can and the number that's right next to the multiple occasions sign right here is called a multiplier. And when I get my answer, it's called the product. All right.

That's it. Don't get hung up. All right, now on the next slide, I'm going to show you how to do a multiplication problem without the calculator, all right, without the calculator, so we'll do it, we'll do one, I'll show you how to do it. It's good to know because if you get the intuitive feel on how to multiply two or more numbers, when you do use the calculator, you'll get a feel of what's right or wrong. And that's that's the point we're trying to get here. Not that we want you to do every, in fact, after you go through this, this course here, you should should use the calculator, but at least you'll have a feel for how it's done.

And when you look at your number, after you punch in the numbers in your calculator and look at it, you'll say yeah, that that's right. It's probably right. Or No, that can't be right. So we'll stop here and we'll go to the next slide, we're going to do a couple. Okay, let's start off by multiplying here. And we want to multiply 13.4 times 2.1.

And that's going to equal some number now, we're doing what some people call long division. And basically I'm going to line them up 13.4 times let me put my multiplication sign there, times two dot one. Now I could also be do two dot one times 13.4 It doesn't matter. Okay? from our previous terminology, this is what the multiplier and that, okay? So over here, this one would be the multiplier and over here, the two dot one would be the multiplier.

All right, it doesn't matter, but we're going to use, we're going to use this one right here, right here, this one right there. So let me let me erase some of these. All right, so I'm gonna start here on the top to give me some room. And so I'm going to put it down again. So 13 dot four, times two to dot one. All right now What I'm going to do is I'm going to take this one, and I'm going to multiply every number up here.

So for instance, one times four is four. One times three is three, and one times one is one. All right. Now, what am I going to do? Well, I'm gonna multiply the two over here. All right, but what I want to do is when I line up my numbers, I want to line it up to the digit in the multiplier here.

So for instance, two times four is eight. Two times three is six. Two times one is two. I notice how I lined up when I went over here to The two I lined the product two times four, I lined it up with the digit in the multiplier right here. Okay, that's the point I'm trying to make right there. So now, let's add them up.

Well, four and this is the zero because it's a placeholder four, plus zero is four. eight plus three is what? 11. All right, I gotta carry the one over here. 678 Let me make this for nicer. Okay?

So it's 2814. Okay, but guess what? I've got a decimal point. So where does my decimal point go to? My This is how I figure out or find out where my destiny Prop A point goes in my answer or my product, it's also called the product. Okay?

How many I look at what I'm multiplying. In other words, I have two factors here. All right? And this factor two dot one, I've got one place to the right of the decimal point. And up here, 13 dot four, I also have one place, right of the decimal point. So I add up those places.

So I have two places, my answer will have two places right of the decimal point. So my decimal point will go right there. Let me just get rid of this. All right. So my answer is 28 dot one, four. All right.

What I'm going to do is I'm going to stop the slide. And I'm going to give you I'm going to write out these steps. So you'll have them and then we'll do one more. All right, so I'm going to stop the slide down. Okay, here we go. We're going to multiply 12 dot three, times two dot two, and here they are right here.

All right. Now let's look at the first one right here. It says, multiply all digits in the multiple can by the right hand digit in the multiplier. The result is a partial product. Okay, first of all, where is the multiplier and where is the multiple can well, this is the multiple it can. And this is the multiplier.

So let's read it again. multiply all digits in the multiple can my top one, buy the right hand digit in the multiplier. This results in a partial product is my multiple can and here's my right hand digit of my multiplier. So, two times three is six. Two times two is four. Two times one is two.

All right now, this is my partial product. Okay, right here. Right here is my partial product. Alright, so let's clear let's erase some of these things here. And go on. Let's read the second step, multiply all digits in the multiple multiple clan by the next digit to the left of the multiplier.

Each partial product is lined up with the digit used in the multiplier. Okay, well again, is my multiplier right here. Right there. And where is the digit that we're going to line up? This one right here. All right, so going to lunch ended up with the second digit in my partial product.

So two times three is six. Two times two is four. Two times one is two. Here we go. All right. Now, let's read Step three, continue until all digits in the multiplier have been used to obtain partial product.

So since we only have two digits in our multiplier, we have two partial products right there. So we finished. Now, add the partial products. Okay, I'm going to move this over here. And I'm going to change the color here to green. All right, so all I'm going to do is I'm gonna say 246246.

Okay, so now I'm going to add them. We know we got a placeholder there. So six plus zero is six. Four plus six is 10. carry the one, four and two is six plus one is seven. And then we just add the two. All right?

Add the partial products and locate the decimal point. Well, how do we locate the decimal point? We have two factors. We know that my multiple Canada's a factor, and my multiplier is a factor. Each one of the factors has two decimal points, or decimal places, right here. And right here.

I locate the decimal point between We have two places to the right of the decimal point. So I would place my decimal point there. So my answer 12 dot three times 2.2 is 27 dot 06. And there is my answer. Okay. All right, let's stop here.

And I'm going to clean off the slide and I'm going to make this a little bit. I'm going to set it up nicely for you in a nice bullet point and in a nice Up Display. All right.