Solved examples: Ordering three-digit numbers greatest to least

📚 Quick Study Guide

• 🔢 Understand Place Value: Remember that in a three-digit number, the digit on the left represents the hundreds, the middle digit represents the tens, and the digit on the right represents the ones. For example, in the number 365, 3 is in the hundreds place, 6 is in the tens place, and 5 is in the ones place.
• 🥇 Compare Hundreds Digit First: When comparing two three-digit numbers, always start by comparing the hundreds digits. The number with the larger hundreds digit is the larger number.
• 🥈 If Hundreds Digits Are Equal, Compare Tens: If the hundreds digits are the same, then move on to compare the tens digits. The number with the larger tens digit is the larger number.
• 🥉 If Hundreds and Tens Digits Are Equal, Compare Ones: If both the hundreds and tens digits are the same, then compare the ones digits. The number with the larger ones digit is the larger number.
• 🧮 Ordering from Greatest to Least: To order numbers from greatest to least, arrange them so the largest number comes first, followed by the next largest, and so on, until you reach the smallest number.
• 💡 Tip: When listing from greatest to least, imagine you are arranging the numbers from most valuable to least valuable!

Practice Quiz

1. Which of the following lists is ordered from greatest to least?
   1. 623, 632, 615, 640
   2. 640, 632, 623, 615
   3. 615, 623, 632, 640
   4. 640, 615, 632, 623


2. Which number is the greatest: 357, 375, 355, or 370?
   1. 357
   2. 375
   3. 355
   4. 370


3. Which number is the smallest: 812, 821, 809, or 810?
   1. 812
   2. 821
   3. 809
   4. 810


4. Arrange the following numbers from greatest to least: 482, 428, 409.
   1. 428, 409, 482
   2. 482, 428, 409
   3. 409, 428, 482
   4. 482, 409, 428


5. Which of the following lists is ordered from greatest to least?
   1. 999, 990, 909, 900
   2. 900, 909, 990, 999
   3. 909, 900, 999, 990
   4. 990, 999, 900, 909


6. What is the correct order from greatest to least for these numbers: 721, 712, 725, 719?
   1. 721, 712, 725, 719
   2. 725, 721, 719, 712
   3. 712, 719, 721, 725
   4. 719, 712, 725, 721


7. Which list of numbers is in descending order (greatest to least)?
   1. 123, 234, 345
   2. 345, 234, 123
   3. 132, 243, 354
   4. 354, 123, 234