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Compare whole numbers

Comparing whole numbers through 1,000,000 involves interpreting place value to determine whether one quantity is less than, greater than, or equal to another: compare the greatest place first, then proceed to lower places only when needed. Learners represent these relationships with <, >, and = and on number lines, understanding that the number of digits alone is not always sufficient when place values are aligned; decimals, negative numbers, and more general number systems are outside this scope.

Detailed Explanation: Compare whole numbers

To compare whole numbers, start with the greatest place value and move to the right only if the digits are equal.

Remember:

  • >> means “greater than”
  • << means “less than”
  • == means “equal to”

Example

Compare (482,731)(482{,}731) and (479,856)(479{,}856).

  1. Compare the hundred-thousands digits:
    Both numbers have 44, so they are equal so far.

  2. Compare the ten-thousands digits:
    88 is greater than 77.

  3. Since (8>7)(8>7), the first number is greater. We do not need to compare the remaining digits.

Therefore,

482,731>479,856482{,}731>479{,}856

The number (482,731)(482{,}731) would also be farther to the right on a number line, because greater numbers are farther to the right.

Learn by doing: Compare whole numbers

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Compare Four- or Five-Digit Numbers to 50,000


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