Question Video: Arranging Multi-Digit Numbers in Descending Order Mathematics

Arrange the numbers on the cards from greatest to least.


Video Transcript

Arrange the numbers on the cards from greatest to least.

The first thing we can notice is that all five of these cards have five-digit numbers. Because each of these numbers is a five-digit number, that means we can compare the ten thousands place. We can compare its digit all the way to the left. Remember, we’re trying to move from greatest to least. So let’s look at these values and see if we can choose the greatest.

We have four, five, three, five, and six. Out of those digits, the six is the largest. And that makes 69424 the largest of our cards. We’ll take the largest card and we’ll move it into the first position. Then we’ll go back to the remaining four cards and choose the next largest. We’re still looking at the digit all the way to the left. And we have a four, five, three and five. In this case, the next largest digit is a five. But we have two values that start with the number five. And that means, we have to move from examining the ten thousands place to examining the thousands place. We’ll move one to the right.

In this case, our first card has a four in the thousands place. And our second card would have a zero in the thousands place. What that tells us is 54000 is greater than 50000. Our second largest card has 54168 on it. So we’ll add that card next, 54168. Our next smallest value would be 50602. So we add that to our bottom list. And we’re just left with two cards to compare.

Comparing the ten thousands position, we will compare four and three. We’re moving from greatest to least. So we want to know which of these is larger. 47422 is greater than 37670. We add 47422 to our order. And finally, the least value on the cards, 37670. Then here are our cards, ranked from greatest to least.

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