Expanded Form Worksheets

Practice expanded form using explicit place-value reasoning.

Learn the skill

Writing three-digit numbers in expanded form

Expanded form writes a number as the sum of its place values. A three-digit number contains hundreds, tens, and ones. A zero digit means that place contributes zero to the sum.

A method you can use

  1. Read each digit with its place, not just its face value.
  2. Write the value of the hundreds, tens, and ones.
  3. Add the parts; a zero-value term may be included or omitted.

Worked examples

Example 1

Expand 352.

  1. Three hundreds = 300, five tens = 50, two ones = 2.
  2. Combine the place-value parts.

Answer: 300 + 50 + 2

Example 2

Expand 407.

  1. There are four hundreds, zero tens, and seven ones.
  2. The tens term contributes nothing.

Answer: 400 + 7

Example 3

Write 600 + 30 + 8 in standard form.

  1. Put 6 in the hundreds place, 3 in tens, and 8 in ones.
  2. Check by adding the values.

Answer: 638

Try it yourself

Solve these before opening the answers. The printable sets below give you more practice.

1. Expand 526.

Show answer and explanation

500 + 20 + 6

Each digit is multiplied by its place value.

2. Write 700 + 9 in standard form.

Show answer and explanation

709

The tens digit is zero.

Take the three-skill math check for this grade →

Before you begin

Recognize digits and read a place-value chart.

Choose your level

These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.

  • Easy: Start with the preview and follow the worked example.
  • Medium: Practice the same exercise types with a fresh numbered set.
  • Hard: Use another set to practice explaining and checking your answers.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Write 312 in expanded form.
2
Write 553 in expanded form.
3
Write 145 in expanded form.
4
Write 797 in expanded form.
5
Write 114 in expanded form.
6
Write 325 in expanded form.

Answer Key

1. 300 + 10 + 22. 500 + 50 + 33. 100 + 40 + 54. 700 + 90 + 75. 100 + 10 + 46. 300 + 20 + 5

Full worksheet sets