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Place value practice

Rearranging digits worksheets

Build the largest and smallest numbers using every digit exactly once. Choose three to seven digits or selected mixed widths, with optional zeros and twenty questions.

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Worksheet · LetterWorksheet · A4
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Make the largest number for questions 1–10 and the smallest number for questions 11–20. Use every given digit once and do not start with zero.

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US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
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Paper sizes and printing help · More place value activities

Reason about the digits and their positions

Use the settings to choose the practice level, then preview every student page and the separate key. Each question keeps its original numbering and position in the answer version.

Long clue lists and translated text continue onto additional pages. Every download includes all the generated questions.

Learning objective

What this activity builds

Explain how placing larger digits in higher-value positions changes a whole number.

Worked example

What are the largest and smallest numbers using the digits in 5,005?

Largest: 5,500. Smallest: 5,005.

Descending order gives the largest number. For the smallest, a 5 must come first because zero cannot lead; then place both zeros before the final 5.

Teaching notes

Make the practice count

  • Use a fixed width first, then choose mixed practice with only the widths learners have studied.
  • Repeated digits stay repeated in the answer. Physically moving one card per digit can help learners keep track.
  • No-zero practice is the default. Allow zeros when learners are ready to discuss why the smallest number cannot begin with one.
  • Both conversion goals appear on every sheet, with ten questions for each.
  • An input can already be in the required order. Keeping it unchanged is then a valid answer.

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Worksheet settings

Widths for mixed practice
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The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

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Math SheetNameScore/ 20TeacherDateRearranging digitsRearrange all the digits to make the requested number. Use each digit once; do not start with zero.1.Make the largest number.4,2932.Make the largest number.7,9953.Make the largest number.3,9264.Make the largest number.2,5175.Make the largest number.9,2686.Make the largest number.2,1547.Make the largest number.6,5768.Make the largest number.7,1659.Make the largest number.5,45110.Make the largest number.7,71611.Make the smallest number.6,57812.Make the smallest number.3,49413.Make the smallest number.5,65714.Make the smallest number.7,85215.Make the smallest number.5,91316.Make the smallest number.8,227math-sheet.comPage 1 of 2
Math SheetNameScore/ 20TeacherDateRearranging digitsRearrange all the digits to make the requested number. Use each digit once; do not start with zero.17.Make the smallest number.8,96818.Make the smallest number.2,34519.Make the smallest number.3,54720.Make the smallest number.2,489math-sheet.comPage 2 of 2

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