Okay, let's talk about reciprocals and decimal fractions. All right? And a reciprocal is any number is one divided by that number. Okay? So I give you an example here, the reciprocal of seven is one over seven. The reciprocal of eight is one over eight, the reciprocal of two is one over two.

All right, so reciprocals of the digits two to nine often must be converted to decimals. And this is basically what just to try just to kind of show you a little bit. So the reciprocal one is one. reciprocal of two is point five, okay, because that would be one over two Three, one over three, one over four and so forth. And again, here are the decimal equivalence when I take the reciprocal. Now we can use the calculator to find a reciprocal.

So I brought down the calculator here, and there's the reciprocal key. So for instance, for and if I want the reciprocal of four, I hit the key and there it is. Point 0.25. Let's do 880 dot one, zero dot 125. So there you go. It's not a big deal.

So that key is the reciprocal key. And any any number I plug in there will give me one over that number here. Let's do one that's not there. Let's do 45. All right, I want the reciprocal of 45. There it is to repeating decimal zero dot tu tu tu tu tu tu tu tu forever.

Okay. All right, let's move on. All right, again, a reciprocal is any number is one divided by that number. And again, I'm showing you the reciprocal of eight over that eight is one over eight is the answer. And we did that in the previous slide with the calculator. So basically, why don't you take a few minutes and use use the calculator?

Find the reciprocals of 2550. Little throwing a little bit of a curve square root of 25 and four squared. All right, don't. What you need to do here is do the operation and then find the reciprocal. Okay, the answers are on the next slide. I'll do these last two on the calculator for you.

All right. All right, here we go with the answers now. brought down the calculator and here we are, we're going to do this 120 the reciprocal of 25 right here. So all we do is 25 004. All right, let's do the next 150 reciprocal of 50. If the reciprocal T, there you go right there.

Okay. Now how do we do these? Well, first of all, I've got to find the square root. So 25 square root is five, hit the reciprocal key 0.02. Okay. Okay, now let's find this one, four squared.

Let me clear that that didn't come out, right, four. Yes, it did. That's right, four times 416. All right, hit the reciprocal key, and there's my answer. So that's pretty much it for this I wouldn't blame anybody from using a calculator on on something like this. Because if you went in there manually, you could do it but it's very, very repetitive and very, very difficult.

All right. Okay, let's stop here. Go on to the next slide. Okay, I mean, we've talked about these before. It's a decimal fraction. When we take the reciprocal of a number, like I explained here, one half of five tenths, it's going to give me a decimal equivalent.

In this example, it's point five. When I want to add a decimal fraction, I need to make sure that the decimal points are lined up here and just add them. All right. Ah, that's pretty much it. We've we've talked about this in previous sections, is just a review here. So that's it.

So let's go on to the next slide. Okay, again, we've talked about this, but when we multiply decimal fractions, we got it take into consideration the number of, of decimal places. So just do this one real quick. Four times two is eight. Four times zero is zero right there. All right, zero times zero times point two, or zero times two is zero, and zero times zero is zero.

All right, here they are right here. So you know that when I'm multiplying when I go to the next number here, I shift over to the left, which I'm showing you right there. Right? All we do is add them up. eight plus zero even though we don't show it to assume that a 0000 plus 00 and then 00 Here, we move to places to the left. And then my decimal point ends right there.

Okay, it's kind of quick. But if you go to I believe it's section one. Where we talk about multiplying and dividing fractions, we go over there and a little deeper. So go back and review that. And again, if you have some problems, you need clarification, send me an email, you'll see the numbers give me a call. Okay, when we're dividing by a decimal fraction, in this example, zero dot six or 0.6 by 0.2.

We want to move the decimal point in the divisor to a whole number. So I'm going to move this over here in this example, and we come up with a two. All right, so I move the decimal point one place Next, move the decimal point to the in the dividend to the same number of places as a divisor. So, again, I move this one place over here, and that becomes six. So six divided by two equals three. That said, I can get my calculator down and do it.

We can, why don't we do that and say we did. So six divided by three equals two. Whoops, it was actually six to six divided by two, so I'm sorry, six divided by two equals three. Okay. Six divided by two equals three. And there's my answer.

Right there. Three. All right. Okay, that wraps it up for this section. We'll see you in the next section. And if you have any questions, make sure you give us a call or send us an email.

The next slide will give you a number I. The next section we're going to be looking at powers and routes. See over there.