Place value
Base-ten block worksheets
Count original unit cubes, ten-rods, hundred-flats and thousand-cubes. Choose the active places and block counts, then record each count and the whole-number total.
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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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Write a sum showing each digit’s place value.
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Learning objective
What this activity builds
Explain how each digit contributes to a whole number by writing its place-value addend.
Worked example
Write 4,083 in expanded form.
4,000 + 0 + 80 + 3
Four thousands contribute 4,000, zero hundreds contribute 0, eight tens contribute 80, and three ones contribute 3. Omitting the zero addend also gives a valid expanded sum.
Teaching notes
Make the practice count
- Begin with two-digit numbers and connect each addend to tens or ones before increasing the width.
- Use mixed widths after the learner can locate the ones place independently. A mixed sheet draws only from the selected widths.
- When zero digits are allowed, name the empty place even if you choose to omit its zero addend when writing an equivalent answer.
- 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 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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