What we're going to do in this video is refresh our understanding of place value, but we're gonna dig a little bit deeper and think about place value in the context of decimals. So just as a refresher, if I had the number 973, this should be review for you. We already know that this rightmost space right over here, this is the ones place. And if we move one space to the left of that, This is the tens place. Notice we went from ones to tens.
Tens are 10 times as much as ones. And then we move one space to the left of that, we go to the, we multiply by tens again, we get to the hundreds space. And so this nine doesn't just represent nine, it represents 900, or we could write that as 900. Similarly, the seven doesn't just represent seven, it represents seven tens, or 70. This three represents three ones, so it actually does represent three. But as I promised, we're now going to extend our understanding.
And what we do is we put a decimal here, which you've probably seen before, at the right. And the reason why we even need a decimal is to really tell us where our ones place is. We say, okay, if we go right to the left of the decimal, that's going to be our one space. Because once we start introducing decimals, we can introduce as many spaces as we want to the right of the decimal.
And so let's think about those a little bit. If when we went from hundreds to tens, notice, we divided by 10. When we go from tens to ones, notice, you divide by 10. So what do you think this place over here is going to be called? Well, what happens if you take one divided by 10? Well then you get a tenth.
So, as you might imagine, this is the tenths place. And then if you were to go one place to the right of that, what would this place be? Well it would be tenths divided by 10, or one tenth of a tenth.
so this would be a hundredth, hundredths place. And then, if you were to go one space to the right, and we could keep doing this forever, but if we were to go one space to the right of that, what would it be? Well. Well, 1 hundredth divided by 10, or 1 tenth of 1 hundredth is 1 thousandth. 1 thousandth space.
And so, for example, if I were to extend this number, instead of it just being 973, if I were to write 973.526, what do these numbers, these digits represent? This five doesn't just represent five, it represents, it represents. represents five tenths. Or another way of writing five tenths, you could write it like this, 0.5.
You just have a five in the tenths place. Or you could write it as five tenths. This two, and I think you get where this is going, this doesn't just represent two, it represents two hundredths. I'm just going to make it very explicit in this video so it's very clear, two hundredths.
Another way to write that is you just write a two in the hundredths place. So we're going one, two spaces to the right of the decimal, or you could write it as two over 100, two hundredths. And so, you know, for kicks, pause the video, what are all the different ways of representing this six? What does this six represent?
Well, this is six thousandths. Six thousandths. This is thousandths. There you go.
How would, I could also write that as zero point, let's see, this is a tenths place, hundredths place. and then in the thousandths place, I have six. Or I could write this as six over 1,000, 6,000ths.
So big picture, place value, we can keep going to the right of the decimal, and we can start representing things that are, I guess you could say, more precise.