Multiplication Part 2

Math for Electronics Introduction to Math for Electronics
13 minutes
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Transcript

Okay, well I made this a little nicer for you. And basically let's just go over this here. If I multiply this number here five, and by my top number, this is my partial product 11860 right there. All right. So when I. Now when I multiply three, right here, times, again, the top number on my multiple, multiple Can I get this number here?

But notice we a skew here. All right? We we move in, we want to move over to the left one place. All right. All right, let's look at the next one. Okay, now I'm going to multiply two.

And I'm going to multiply my multiple can by two. And here's the number right here. Notice I went to the left two places, all right? two places. And here are my places right here. All right, those are the two places and going back one, he is one place over here.

Okay, let's clear the slide here. And now what we're going to do is, we're going to add It Up are partial products. And if you remember, each one of these is my partial product. So when I add them up, I get this number here. 557420. All right.

Now the next thing we need to do is we need to see how many decimal places are in my answer right here. And if I go back, how many decimal points do I have? Well, I just have one decimal point a decimal place. All right. So now we move it one place to the left. So my answer is 55742.

All right. I want to show you You might placeholders Alright, so I'm going to change the color here. And here are my placeholders. All right, if you notice, again, I'm reviewing this and I mentioning it one more time. When I multiply this first number five, and here's my multiple can, I get this number i. Now when I multiply three, times two, I move over one place to the left, right there and I start with the six.

When I take this last number here in this particular problem, and I start multiplying here, then I move over three places to the lab and I start right here. All right. All right. So that's a placeholder, that's a placeholder, and that's a placeholder. Okay? I made it a little bit nicer for you over here.

On this example, I did not show you the placeholders just to make a make a point. But if I put my placeholders in there, I'm just going to put a little x now. x, x, x. All right? I have three placeholders. I add the number up, and then he is my decimal point right there because I only have one decimal point in the in the problem.

Okay, I think I finished it. I'm going to stop here. I'm going to give you two examples, show you the solutions. And then when you pull down the assignment on this lesson, You'll see that you'll have additional ones there with the answers. All right, seeing a few. Okay, before we go on, I just want to present something needs or the ways that we can represent multiplication.

Basically the six and small x times three is the, in this example is, is the most common one, but we also can represent multiplication by six dot three is my dot, and then put two numbers in brackets like I show you here, six brackets, six, closed bracket, bracket, three closed bracket, that also represents multiplication right there. And then this one here, where I only put one number in the bracket. So those are all different ways that I can represent my multiplication operation. So I just wanted to bring that Okay, I've given you two examples here. Two dot two times 420 and 450 dot zero dot two, right there. So I'm going to give you the solutions.

All right, but what I'd like you to do is stop this presentation. Try to do them. And then when you when you click back on and feel as though you've gone as far as you can, or maybe you just want to make sure that you your answers are right, click on it, and the answers will be there. I will give you some more examples. Now I have I'm having a homework sheet or an assignment that's attached to this presentation. You can when you pull that down, you'll see some more examples.

Also. We've talked about this enough. There's my help number. All right. So I'm going to stop right now. Give it a shot.

And when you turn it on, you'll see the results. Okay, assume that you've done it. So let's look at the, let's look at the answers to the first one in depth. I've expanded this to you. I've added a little bit of color here. So if we look, we've got two dot two, which is what my multiplier right here.

And when multiple, we're multiplying 420, which is our multiple canned. All right, so notice, I'm going to get my partial product. All right, now here's my multiplier. It's in red. And I'm going to multiply that dot two, and I'm going to multiply 420. So here's my partial product right there.

Notice it's in rash red. All right? And now I'm going to multiply this two, which is in green. I'm going to multiply that times 420. And I'm going to get this number right here. Notice that I'm one position total left.

All right. Here's my placeholder. As we talked about, it's violent. This is my placeholder. All right, right there. Okay, that's my placeholder, the zero that's violent, violent.

Right. Now, what do I do I add my two partial products. And here's my number. I, the only thing left is I have to find my decimal point. So I Look up here in my original problem, how many places how many decimal places do I have? I just have one.

Therefore, I my decimal point goes one place to the left is my answer. All right, this last example, we're going to multiply zero dot two times 450. And we know from the previous examples, the point two is my multiplier. Just going to abbreviate that and this guy, the top here is my mole there. Click can. Alright, so now we're going to multiply my first or my rightmost digit in my multiplier, which is point two, we're going to multiply point two or two times four fifths.

So, when I do that, I get 900. This is my first partial product. Here it is right here. Notice it's in red. Okay, put it in red because we're multiplying by the multiply which is in red. So it's just a way for me to show you nicely, okay.

Then, after we do that, we're going to multiply it by the next digit in my multiplier, which is this green zero. And we're going to take the next partial product right here. And we're gonna move it over to the left. Bye One position. So these are the green zeros here. This violet zero is my placeholder.

Okay, so that's my placeholder. Okay, so now I'm going to add them up, and I get 900. Now I have to find my decimal where I'm going to place my decimal. Since there's only one decimal position here, I move my decimal point one place to the left. And here's my answer. All right, let me clear the slide.

All right, there's my answer. Hi. So that's pretty much it now. I'm going to give you some more examples. In an assignment, okay, you'll download it on this presentation. And there'll be some problems with answers.

There'll be one more example on there to show you how to do it. And again, yeah, I got this, and I'm sincere about this, you got that number, give me a call. And if I'm not here, leave a message, send me an email, contact me, we'll set something up. And again, if we get three, four or five people, we will do some type of collaboration over the Internet, and we'll do some problems and I'll try to clear things up for you. All right, we're done here. And we'll see you on the next subject, which is division.

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