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C.1 Order numbers up to one million

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What does it mean to order numbers?

Ordering numbers means arranging numbers from smallest to largest (ascending order) or from largest to smallest (descending order).

Examples:
  • Ascending: 12,345 → 23,456 → 45,678 → 123,456
  • Descending: 654,321 → 543,210 → 432,109 → 321,098
Note

When ordering numbers, you always compare place values starting from the largest place (hundred thousands) down to the smallest place (ones).

How to identify and compare numbers

To compare numbers up to one million, look at each digit from left to right, beginning with the largest place value.

Steps:
  • Line up the numbers by place value.
  • Compare the digits in the largest place value.
  • If the digits are the same, move to the next place value to the right.
  • Continue until one digit is greater or smaller.
Note

Remember: the number with the greater digit in the leftmost different place value is the larger number.

Examples of ordering numbers

Here are some examples showing how to order numbers up to one million:

Examples:
  • Order from least to greatest: 85,340; 93,201; 12,478; 509,876
    → 12,478 → 85,340 → 93,201 → 509,876
  • Order from greatest to least: 250,789; 345,612; 789,230; 102,345
    → 789,230 → 345,612 → 250,789 → 102,345
Note

Check your work by reading the sequence out loud to see if it makes sense.

Tips for success

Ordering large numbers can be tricky, but these strategies can help.

Helpful Strategies:
  • Write numbers in a place value chart to compare digit by digit.
  • Circle the digit where the numbers are different.
  • Double-check by reading the numbers aloud.
Note

Practice often! The more you compare and order numbers, the faster and more accurate you will become.