Place value
Expanded form worksheets for whole numbers
Break whole numbers into a sum of place values. Choose 2–12 digits or mix selected widths, including numbers through hundred billions.
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Expanded notation worksheets for whole numbers
Practice both directions of digit-times-place notation. Expand whole numbers into products, then turn products back into numerals, using 2–12 digits.
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Complete both parts: write digit-times-place products, then combine products into numerals.
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Customize this worksheetConnect the number and its place values
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Learning objective
What this activity builds
Connect a digit, its place unit and their product, then reverse the representation without changing the value.
Worked example
Write 305 as digit-times-place products.
(3 × 100) + (0 × 10) + (5 × 1)
Each product pairs one digit with the value of its position. The zero-tens product makes the empty middle place visible. In the second part of the worksheet, combine products like these into a numeral.
Teaching notes
Make the practice count
- The first half asks for products; the second half asks for the matching numeral. Read the instruction above each part; it repeats when a part continues onto another page.
- Choose 10 questions for large numbers or a shorter lesson. Choose 20 for ten questions in each direction.
- Keep zero products when learning the structure, even though adding zero does not change the value.
- This activity uses ordinary place units such as 1,000. Powers of ten and scientific notation are separate skills.
- Each generated question is unique within the sheet. The answer key repeats the prompts with completed responses; page breaks match the student version.
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Related activities
Place value
Standard form worksheets for whole numbers
Combine expanded sums into whole numbers. Practice fixed widths from 2 to 12 digits or selected mixed widths with an optional zero-digit challenge.
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Place value
Expanded notation worksheets for decimals
Expand decimals into digit-times-place products and reverse the process. Select 2–4 whole-number digits, 1–3 decimal places, and whether zero digits may appear.
Preview and download