Subtraction
Multi-digit subtraction
Subtract two-, three-, or four-digit numbers vertically with configurable regrouping and subtraction across zero.
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Subtraction across zero
Practice multi-digit subtraction that requires regrouping through one or more zero places without losing place-value meaning.
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When a zero blocks a regroup, move left to the first available unit and exchange through each place before subtracting.
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Customize this worksheetLearning objective
What this activity builds
Regroup across zeros accurately and explain how one larger unit is exchanged through adjacent places.
Worked example
What is 4,002 − 1,587?
2,415
Exchange one thousand into hundreds, one hundred into tens, and one ten into ones; then subtract each aligned column.
Teaching notes
Make the practice count
- Record every changed place before doing any subtraction.
- Use base-ten language aloud: one thousand becomes ten hundreds, then one hundred becomes ten tens.
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A useful next step
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Subtraction
Missing-digit subtraction
Restore hidden digits in vertical multi-digit subtraction by reasoning column by column from the known result.
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