Skill: Compare three-digit numbers

Explanation and Free Practice Resources

Comparison of three-digit whole numbers is determined by place value: compare the hundreds digits first, and if they are equal, compare tens digits, then ones digits. This understanding connects the written numerals, quantities, and positions on a number line, supports accurate use of >>, <<, and ==, and prevents judging numbers by an isolated digit or by the apparent size of a digit rather than its place.

Detailed Explanation: Compare three-digit numbers

To compare three-digit numbers, look at their place values from left to right:

  1. Compare the hundreds digits.
  2. If they are the same, compare the tens digits.
  3. If those are the same, compare the ones digits.
  4. Write >> for “greater than,” << for “less than,” or == for “equal to.”

Example: Compare (472)(472) and (459)(459).

Line up the place values:

HundredsTensOnes472459\begin{array}{ccc} \text{Hundreds} & \text{Tens} & \text{Ones}\\ 4 & 7 & 2\\ 4 & 5 & 9 \end{array}
  • The hundreds digits are both 44, so they are equal.
  • Compare the tens digits: 77 is greater than 55.
  • We can stop because the tens place decides which number is greater.

So,

472>459472>459

Remember to compare digits by their place, not just by how the digits look.

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