Skill: Compose numbers from hundreds, tens, and ones

Explanation and Free Practice Resources

A three-digit whole number is composed by combining its hundreds, tens, and ones values: for example, 4 hundreds, 2 tens, and 7 ones represent 427, or 400+20+7400+20+7. This understanding includes interpreting zero as an empty place when a number lacks tens or ones, connecting standard, expanded, and place-value representations, and recognizing that a digit’s value depends on its position; larger numbers and more advanced place-value generalizations are not included.

Detailed Explanation: Compose numbers from hundreds, tens, and ones

A three-digit number is made of:

  • Hundreds: groups of 100
  • Tens: groups of 10
  • Ones: single units

To compose a number, find the value of each place and put the digits in the correct order: hundreds, tens, ones.

Example: Compose a number with 3 hundreds, 0 tens, and 6 ones.

  1. The 3 hundreds have a value of 300300.
  2. The 0 tens have a value of 00.
  3. The 6 ones have a value of 66.
  4. Add the values:
300+0+6=306300+0+6=306

So, 3 hundreds, 0 tens, and 6 ones make 306306.

The zero shows that there are no tens. In 306306, the digit 33 means 3 hundreds, the digit 00 means 0 tens, and the digit 66 means 6 ones.

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Place Value - Expanded (Numbers) to Normal Form


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