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Expanded Form 4 Digit Worksheets

This page makes free printable expanded form 4 digit worksheets on demand: press the button and you get a new sheet of 20 problems with a matching answer key, ready for US Letter or A4 paper. The current sheet starts with problems like Write 1,493 in expanded form and Write 9,246 in expanded form, and the answers (1000 + 400 + 90 + 3 and 9000 + 200 + 40 + 6) are printed on the key so marking takes about a minute.

📄 EXPANDED FORM 4 DIGIT — A NEW SHEET EVERY TIME YOU PRESS THE BUTTON
🎲 New set of problems

‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.

The skill behind these problems

Nearly every later arithmetic error traces back to place value: misaligned columns, a lost zero, a decimal point in the wrong slot. Ten minutes a day here quietly fixes problems that look like they belong to other topics.

Place value is the idea that a digit's position decides its size, and a question like Write 1,493 in expanded form checks that directly. A child who answers 1000 + 400 + 90 + 3 without counting positions on their fingers has internalised the structure; one who counts has not, yet.

This sheet uses four-digit numbers, which is wide enough to force real reading of the digits rather than pattern-matching on length — Write 4,603 in expanded form is a fair example of it.

Notice that zeros are included deliberately. A zero holding a place is the concept most often missed, and it is why a question like Write 5,371 in expanded form catches children who are counting positions by eye.

Work of this kind is commonly aligned with the number and operations in base ten strand for this grade; schools outside the US meet the same skill at roughly the same age, which is why these expanded form 4 digit worksheets travel well.

Examples taken from this worksheet

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (four-digit numbers).
#ProblemAnswerWhat to check
1Write 1,493 in expanded form =1000 + 400 + 90 + 3Watch for: skipping the zero
2Write 9,246 in expanded form =9000 + 200 + 40 + 6Check: losing track in long numbers
3Write 6,346 in expanded form =6000 + 300 + 40 + 6Look at: reading a comma as a decimal point
4Write 5,371 in expanded form =5000 + 300 + 70 + 1Ask about: counting from the wrong end
5Write 4,603 in expanded form =4000 + 600 + 3Watch for: mixing up tens and ones vocabulary
6Write 8,504 in expanded form =8000 + 500 + 4Check: confusing the digit with its value

One problem worked through

Take the first problem on the sheet as it stands, Write 1,493 in expanded form. Work Write 1,493 in expanded form out on paper rather than in your head the first few times, say each step aloud, and check the result against 1000 + 400 + 90 + 3 on the key before moving on.

The item Write 9,246 in expanded form is worth doing slowly. The answer to Write 9,246 in expanded form is 9000 + 200 + 40 + 6, and the route to it is the route every other problem on this sheet takes — which is why the sheet has 20 of them rather than one.

Three common mistakes and what to do about them

Using this sheet as a daily drill

  1. Do not raise the number of problems until the accuracy is steady. Going from 20 correct-but-slow problems to more problems only multiplies the same mistake.
  2. Keep the session to about 10 minutes. A child working at this level who is still counting on fingers will need longer than that on a line like Write 1,493 in expanded form, and that is fine: the timer is a measurement, never a punishment.
  3. Mark it together straight away while the working is still fresh, so a slip like the one behind Write 6,346 in expanded form can be talked through instead of guessed at.
  4. Write the finish time and the score at the top of every sheet. Two weeks of those two numbers tells you more about progress on expanded form with four digits than any single test result.
  5. Read the first two problems out loud together before starting the clock. It costs fifteen seconds and removes most of the 'I did not understand the question' errors.

The answer key

The answer key is generated with the worksheet, not written by hand, so it always matches the sheet in front of you — Write 1,493 in expanded form is listed as 1000 + 400 + 90 + 3, Write 9,246 in expanded form as 9000 + 200 + 40 + 6, and so on down the page.

Keys are produced by the same code that produces the questions, so a mismatch between question and answer is not possible on these sheets.

Printing and saving as PDF

Printing works the same on US Letter and A4, because the layout uses relative widths rather than fixed inches. Set margins to default and scaling to 100%, and all 20 problems fit.

For a class set, print one sheet, press the new-worksheet button and print again. Each child gets different numbers on the same skill, so nobody can copy the answer to Write 1,493 in expanded form from a neighbour.

Frequently asked questions

How many different sheets can I make?
As many as you want. The numbers are randomised each time, so printing five sheets in a row gives five different sets of 20 problems on the same skill.
Will these print correctly on A4?
Yes. These expanded form 4 digit worksheets fit both A4 and US Letter without clipping, as long as print scaling is left at 100% and browser headers and footers are switched off.
How do I practise this away from a worksheet?
Read numbers aloud from receipts, signs and sports scores and ask which digit is in a named place. Thirty seconds, several times a day, beats one long session.
At what age should this be automatic?
Two- and three-digit place value is usually secure by the end of second or third grade. The range on this sheet (four-digit numbers) and decimals continue for several years after that.

Print a sheet of expanded form 4 digit worksheets, run it for 10 minutes, mark it together, and come back tomorrow for a different set of numbers on the same skill.

More worksheets like this

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Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13