Ordering decimals visually: greatest to least

0:00- [Instructor] We're told the distance in kilometers that three friends ran are represented below. Each large square represents one kilometer. All right, they visually tell us the distance in kilometers. Order the runners by distance from greatest to least. So pause this video and have a go at that.

0:19All right, now let's work through this together. So there's a couple of ways to do this. You could stay visual or we could try to convert these into decimals and then compare them. Well, we could see that the large square, this is a full kilometer up here, lemme make sure my pen is working, this is a full kilometer right over here.

0:38So they all ran one full kilometer and then a little bit. So they're all one point something kilometers. So let's look at this next section. So it looks like this next full kilometer box, it's been divided into 10 equal rectangles. And Bobbi has, we've colored in four of them.

0:56So this is four of the 10 equal rectangles, so this is 4/10. So one way to think about it is Bobbi ran 1 4/10 kilometers. Or another way of thinking about it, this could be 1 4/10, we have 4 in the tenths place, kilometers. Now, let's go to Angel. Angel is one and how many...

1:20Well, this is actually broken up into hundredths 'cause each of those tenths have now been broken up into 10. But we can see that this is 1/10 there, this whole thing, that's 1/10, then we have 2/10, then we have 3/10, 4/10, or another way you could think about it, that's 40 hundredths right there, and then we have three more hundredths.

1:44So you could view that as 4/10 and 3/100. So that is... Well, lemme do it the same way, We could view that as 43/100, 43/100, that's how many we have colored in, or, kilometers, which is another way of saying 1 and 4/10 and 3/100, which you could also say is 1 43/100 kilometers, hundredths, kilometers.

2:09And last but not least, let's take a look at Charlie. So out of these hundredths there, so Charlie ran one, and let's see how many hundredths, 'cause this is all broken up into hundredths. So this is 10/100, 20/100, 30/100, and then this looks like another nine, so 39/100, 1 39/100 kilometers, which you could also write this way, 1 39/100, which is the same thing as 3/10, 'cause we could see 1/10, 2/10, 3/10, and then 9/100, which we have here for Charlie.

2:47So now let's just compare. If we go to the most significant, they all ran more than a kilometer, and that's this box over here if we compare them. So it's all going to boil down to what fraction of a kilometer they ran above that first kilometer. So if we go to the next significant place, Bobbi ran 4/10 of a kilometer, Angel also ran 4/10 of a kilometer, but Charlie ran, not quite 4/10, ran 3/10, and then some, so less than 4/10 of a kilometer.

3:19So if we wanna order the runners by distance from greatest to least, so we want greatest on the left and least on the right, we know that Charlie is the least. So I'll write Charlie here on the left, oh sorry, on the right, I had to get my left from right. So this is Charlie, is going to be the least, right over there.

3:40And now let's compare Bobbi and Angel. They had the same number of ones, same number of tenths. But then when we go to the hundredths place, we have 3/100 for Angel and we have no hundredths for Bobbi. We could put a zero here if we just wanna compare directly.

3:56So Angel ran further than Bobbi. So if we want greatest to least, we'd want Angel first, then Bobby, then Bobby, and then Charlie. Greatest is Angel, least is Charlie, and we're done.