Shark Learning
Second/Multiplication

Column Multiplication: 3-Digit x 2-Digit

3-digit × 2-digit products with multiple carries.
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Study Guide

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Column Multiplication: 3-Digit x 2-Digit preview

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Practice Questions

  1. 324 × 27 = ?
    Show answer

    8,748

  2. 412 × 36 = ?
    Show answer

    14,832

  3. 205 × 48 = ?
    Show answer

    9,840

  4. 738 × 24 = ?
    Show answer

    17,712

  5. 569 × 32 = ?
    Show answer

    18,208

Teacher Resources
Teaching Notes

Emphasize place value and partial products. Model regrouping carefully during each step.

Vocabulary
Carry Over: Moving a digit to the next column in addition.
Partial Product: A product found during multiplication steps.
Common Mistakes
  • Incorrect shift
  • Forgetting to shift for tens partial product.
  • Incorrectly carrying numbers over.
  • Errors in basic multiplication facts.
  • Misaligning digits in the final sum.
Differentiation
SupportUse graph paper; color-code partial product rows.
ChallengeEstimate products first; create own word problems.
Discussion Questions
  • Why is place value important in column multiplication?
  • How does regrouping simplify complex calculations?
  • What happens if you forget to shift the second partial product?
  • How can you check your final answer for accuracy?
Extension Activities
  • Use a calculator to check answers.
  • Solve problems with larger numbers.
  • Create real-world scenarios.
Parent Tip

Ask your child to explain each step of the multiplication process.

Learning Path
Skill Cluster

Multi-Digit Operations

Estimated Time

16 minutes

Skills Practiced
Partials summationCarry tracking