Skill: Write whole numbers in expanded form

Explanation and Free Practice Resources

A whole number in expanded form is represented as the sum of each digit’s value according to its place—for example, 4,305,072=4,000,000+300,000+5,000+70+24,305,072=4,000,000+300,000+5,000+70+2; zero digits contribute no value and may be omitted. This understanding connects the written numeral to powers of ten and prevents confusing a digit with its place value, within whole-number place values through millions; decimal expansions and more generalized algebraic forms are not included.

Detailed Explanation: Write whole numbers in expanded form

To write a whole number in expanded form, break it apart by the value of each digit. The value depends on the digit’s place: millions, hundred-thousands, ten-thousands, thousands, hundreds, tens, and ones.

Example: Write 6,204,0306,204,030 in expanded form.

  1. Identify the value of each nonzero digit:

    • 66 is in the millions place: 6,000,0006,000,000
    • 22 is in the hundred-thousands place: 200,000200,000
    • 44 is in the thousands place: 4,0004,000
    • 33 is in the tens place: 3030
  2. The digits 00 are in the ten-thousands, hundreds, and ones places. They contribute 00, so they can be left out.

  3. Add the place values:

6,204,030=6,000,000+200,000+4,000+306,204,030=6,000,000+200,000+4,000+30

The expanded form shows what each digit is worth, not just what the digit is.

Learn by doing: Write whole numbers in expanded form

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Place Value - Normal to Expanded Form (Numbers)


    ?

    Download/Modify Free Grade 5 'Write whole numbers in expanded form' Worksheet

    Print this free 'Write whole numbers in expanded form' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Write whole numbers in expanded form) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 5 Math