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First/Subtraction

Subtraction with Regrouping Across Zeros

Practice subtracting numbers where borrowing over zeros is required.
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Prerequisites
3-Digit Subtraction with Regrouping12 WS
432
- 158
?

Practice Questions

  1. 200 − 199 = ?
    Show answer

    1

  2. 300 − 198 = ?
    Show answer

    102

  3. 400 − 299 = ?
    Show answer

    101

  4. 500 − 389 = ?
    Show answer

    111

  5. 600 − 499 = ?
    Show answer

    101

Teacher Resources
Lesson Plan

Regrouping in Subtraction

Standards
2.NBT.B.7
Printable Aids
Place Value ChipsGrid Paper
Teaching Notes

This collection focuses on the often-challenging concept of subtracting across zeros. Emphasize place value and the regrouping process, explaining that 'borrowing' means trading a larger place value unit for ten of the next smaller unit. Encourage students to show their regrouping steps clearly.

Vocabulary
Regroup Across Zeros: Borrowing through a zero place value.
Place Value: The value of a digit's position.
Common Mistakes
  • Subtracting top from bottom regardless of value.
  • Forgetting to reduce the neighbor after borrowing.
  • Misalignment of hundreds, tens, and ones.
  • Struggling with 'double borrowing' across zeros.
  • Forgetting to regroup or decrement the digit in the next higher place value after 'borrowing'.
  • Incorrectly treating a zero as a 10 without proper regrouping from the left.
  • Misaligning digits in vertical subtraction, leading to errors.
Differentiation
SupportUse base-ten blocks or a place value chart to model the regrouping process concretely. Start with 2-digit numbers with zeros (e.g., 70 - 23) before moving to 3-digit numbers. Provide partially completed problems.
ChallengeChallenge students with larger numbers (e.g., 4-digit minuends with multiple zeros) or multi-step word problems that require this skill. Introduce estimation strategies for checking answers.
Discussion Questions
  • Why is subtracting when there's a zero in the top number sometimes tricky?
  • Can you explain what happens to the zero when we need to regroup from across it?
  • How does understanding place value help us when we 'borrow' over zeros?
Extension Activities
  • Subtract numbers with multiple zeros.
  • Create word problems with zeros.
  • Explore subtraction patterns.
Parent Tip

Use a number line to show how borrowing across zero works.

Learning Path
Skill Cluster

Number and Operations in Base Ten

Grade Level

2-4

Skills Practiced
Subtraction across zerosThree digit regroupingPlace value subtraction