# Question Video: Ordering Four-Digit Numbers from Greatest to Least Mathematics

Order the following numbers from greatest to least: 3,408, 3,540, 3,380.

02:41

### Video Transcript

Order the following numbers from greatest to least.

In this question, we’re shown three four-digit numbers, and we have to order these numbers from the greatest to the least. Let’s use a place value table to help us compare our three four-digit numbers. Our first number has three 1,000s, four 100s, no 10s, and eight ones. This is the number 3,408. Our second number also has three 1,000s. It has five 100s, four 10s, and no ones. It’s the number 3,540. Our final four-digit number also has three 1,000s. It has three 100s, eight 10s, and no ones.

We’re looking for the greatest number. We could start by comparing the thousands digits. But that’s not going to help us very much because each of our numbers has three 1,000s. Let’s move into the hundreds column. Which of our numbers has the most amount of hundreds, four 100s, five 100s, or three 100s? Five 100s are worth more than four 100s or three 100s, so the greatest number is 3,540. Which of our two remaining numbers is the greatest, 3,408 or 3,380? We already know that both numbers have the same amount of thousands. So again, we’re going to have to compare the hundreds digits. And we know that four 100s are worth more than three 100s. 3,408 is greater than 3,380.

We’ve ordered the numbers from greatest to least. The correct order is 3,540, 3,408, and 3,380.