Number Forms Worksheets

Convert between standard form and expanded form, including numbers with a zero in one place.

Learn the skill

Standard, expanded, and word form

Standard form uses digits, expanded form shows place values, and word form names the number. All three forms should represent exactly the same quantity, including any empty places.

A method you can use

  1. Make a place-value chart for thousands, hundreds, tens, and ones.
  2. Write each nonzero place as a value in expanded form.
  3. Read the number in words and convert it back to digits to check.

Worked examples

Example 1

Write 2,406 in expanded form.

  1. There are 2 thousands, 4 hundreds, no tens, and 6 ones.
  2. Write the nonzero place values.

Answer: 2,000 + 400 + 6

Example 2

Write three thousand fifty-two in standard form.

  1. Three thousand gives 3 in the thousands place; fifty-two gives 5 tens and 2 ones.
  2. There are no hundreds, so put 0 in that place.

Answer: 3,052

Example 3

Write 4,000 + 700 + 20 + 9 in words.

  1. Combine the values to get 4,729.
  2. Name the thousands, then the hundreds and the remaining two-digit number.

Answer: Four thousand seven hundred twenty-nine

Try it yourself

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

1. Expand 3,508.

Show answer and explanation

3,000 + 500 + 8

The tens place contributes zero.

2. Write two thousand sixty in digits.

Show answer and explanation

2,060

There are 2 thousands, 0 hundreds, 6 tens, and 0 ones.

Take the three-skill math check for this grade →

Before you begin

Identify ones, tens, hundreds and thousands.

Choose your level

  • Easy: Write three-digit numbers in expanded form.
  • Medium: Write three-digit expanded sums in standard form.
  • Hard: Convert between standard and expanded form with four-digit numbers.

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 432 in expanded form.
3
Write 553 in expanded form.
4
Write 734 in expanded form.
5
Write 145 in expanded form.
6
Write 797 in expanded form.

Answer Key

1. 300 + 10 + 22. 400 + 30 + 23. 500 + 50 + 34. 700 + 30 + 45. 100 + 40 + 56. 700 + 90 + 7

Full worksheet sets