Question Video: Ordering Three-Digit Numbers from Greatest to Least

Order these numbers from greatest to least. 643, 663, 647

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Video Transcript

Order these numbers from greatest to least. 643, 663, and 647.

In this question, we’re shown three three-digit numbers. And we have to order them from greatest to least. So we need to start by writing down the number which is worth the most and finish with the number which is worth the least.

Which of our three three-digit numbers is worth the most? We know that three-digit numbers have a hundreds, tens, and ones digit. And we’re looking for the number which is worth the most. So let’s start by comparing the hundreds digit in each of our numbers. Did you notice that the hundreds digit for each of our three numbers is a six? 643 has six hundreds, so does 663 and 647. This isn’t much help. We need to move to the right to the next digit and compare the number of tens.

643 has four tens, which are worth 40. 663 has six tens, which are worth 60. And 647 has four tens, which are worth 40. We know that 60 is greater than 40. Six hundred and six tens are worth more than six hundred and four tens. So the number with the greatest value is 663.

Now, we need to find the number which is worth the least. Is it 643 or 647? Did you notice that both of these numbers have the same amount of hundreds and the same amount of tens? So we’re going to have to compare the ones digit. The number 643 has three ones. And the number 647 has seven ones. We know that seven is greater than three, so we know that 647 is greater than 643. Now we can write all of our numbers in the correct order. The numbers from greatest to least are 663, 647, and 643. We ordered these numbers from greatest to least using our knowledge of place value.

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