Alright, we're going to talk about honor of places. And this is based upon the decimal numbering system. And when we count and the decimal numbering system, basically, most people will go 1-234-567-8910. And that that's fine, but ideally, properly when we count the first place and we'll get into that just bear with me here. We count from zero to nine. All right.

All right. So zero to nine. So I have these are called my units. Right? Then what happens when I get to nine We go to 10. All right.

But what is so we go from let's use this again 10 to 19. But what am I doing here? All right, I am using the next place, which is right here. And that is my 10s place. So I'm just going to pick a number, what is 18? We say the number 18.

What What do we mean by that? So let me just write the number 18 and 18 is 110s unit. 110 JUnit. plus eight units which meaning one. So basically what we have is we have one and I'm going to do the the illustration of the mathematical expression in a minute. But we have 110 units and eight units or single units.

All right, so let me just stop here. So here what I'm showing is a gain. So basically it's one times one times 110 unit that's represented right there. plus eight. One unit which is represented Right here. All right.

Now, we really don't do this in every day to day mathematics, but just to kind of build the, the, the foundation because we're going to go on here, we need to understand this. So when we represent numbers, okay, we have units, 10 units, 100 units, 1000 units, and that's called the number line. All right, I'm going to do one more, I'm going to, I'm going to erase the screen and do one more. And then we're going to go on to the next slide. And we're going to tie this into the number, the number line. Okay, just pick this number out of my hat just came to my head 342, nothing, nothing significant about the number.

It's just that it just says, Let me pick a number and I happen to pick this one. So but we've got three places here. All right now we know from the previous example This one here is what my units right here we have my 10 units. And over here, which is a new one is what? My hundred units worth can't get in my hundred units. So what do we mean by this?

Well, this is what we mean we mean three times 100 units plus four times 10 units. And I'll have to go over here with this one, and then two times one unit. All right, so if I look at this number 342, I have three 100 units for 10 units, and two single units three Hundred and 42 we don't go through that, again, I'm repeating myself, but we don't go through that. Okay, we say 342. But we know that right now from this discussion that that number has three 100 units for 10 units and two one units. And that equals 342.

Not a big deal, just kind of like embedding it in your mind. So when we go on, you'll understand the math process a little better. Okay, what we're showing you here is our number line from the decimal point to the left, so we're going left night. So from our previous discussion, we stated that every unit or every place, left of the decimal point right here gets 10 times greater. So that's the as my ones. There's my 10s.

There's my hundreds. There's my thousands. There's my 10 thousands. There's my hundred thousands. There's my millions. All right, again, as we go last, what happens?

Each position gets 10 times greater. All right, let me Let's pick a number here. I'm going to clear off the slide. Let's I'm gonna pick a number. I don't know just out of my head. Let's pick out this number 1,000,243 621 All right.

So what do we have here? Well we got a one there. We got two there. We got four there. We got three there. We got six there, two and one.

But what do we have? Remember these were my ones unit. These are my 10s. These are my hundreds. These are my thousands. These are my 10,000 these are my hundred thousand.

And these right here on my millions. Let's see if I can get them all in. There we go. All right. So what do we have is we have 1,000,001 1 million units, 200,000 units for 10,000 units, 3000 units, six 100 units to 110 units. And one, one unit 1,243,621 were made up of millions, hundred thousands 10 thousands, thousands, hundreds 10s and one units.

Okay, I'm going to write them Going to clear this slide. And I'm going to write out what we mean by that so you can see it. So let's do that. So we're going to clear the slide off. Looking here, okay, I expanded this and I wrote it nicely. So here's the number 1,243,621.

Right there it is right here. And if I break that out, I have one 1 million unit 200,000 units for 10,000 units, 3000 units, six 100 units, 210 units, and one, one unit, which gives me 1,243,621. So, what I'm going to do is I suggest you stop the slide and I've given you a problem right here. Why don't you take a minute and do that? And when you get the answer, hit the continue button, and you'll see the answer. All right, I'm going to give you a couple of these at the end of this section.

So just do one now. That way, we'll go over it. You can see that you've done it right. And then at some point further on when we, before we go on to the next discussion, we'll have a couple more problems for you to do. All right, I'm gonna stop now. Is the answer for this right there.

Six 1 million units. 700,000 units 9000 units. For 100 units, 510 units, and seven one units. All right, again, I'm going to give you more of these couple more at the end, not a whole lot, maybe two, three, maybe four at the end, and you can do them and I think you should be okay again, if you looked at the beginning of this course, and through the course I'll give you a phone number for help. And I'm going to show that to you on the next slide is my help number right there 78120 to 4396 I do not respond to block numbers. If you call me I do not pick up leave a message I will return all calls within the continental United States.

If there's someone out of state, send me an email or contact me through this platform. It's something up first, through through email or through the contact mechanism that a dummy through this platform will figure it out. But I will help you. I'm trying to make this as close to a classroom setting as possible, what I call a virtual classroom. So we're going to do this, and I'm dedicated to do this. So again, if you have problems or issues, call me send me an email.

And we'll help you out. And we're going to go on now we got one more topic, and then we're going to stop this discussion and go on to the next section. Okay, let's look at this here. And we've given we know that this is a number line from the decimal point right here. Going to the left, we've seen this before. And now we give we have names ones 10s, hundreds, thousands 10 thousands hundred thousand millions.

Here we are right here with the names. If I or someone gave you I have a number that's 300 to 10s and five ones. What would that number be? Well, it would be what? 325 and 25. So when I write this out verbally, we get 325.

Alrighty, so I'm going to give you one more, and you're going to write the number. So let's stop it here. One more example. Try to do this one 3506 10s and four ones. And when you turn it back on, you'll have the answer. Okay, here's the answer 3564 right there.

We'll put a couple more for you to do as homework or an assignment at the end of this section. We'll see you on the new section.