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Second/Multiplication

Column Multiplication: 2-Digit x 2-Digit

2-digit × 2-digit products reinforcing place-value shift.
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Study Guide

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Column Multiplication: 2-Digit x 2-Digit preview

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Practice Questions

  1. 48 × 23 = ?
    Show answer

    1,104

  2. 27 × 35 = ?
    Show answer

    945

  3. 64 × 17 = ?
    Show answer

    1,088

  4. 52 × 26 = ?
    Show answer

    1,352

  5. 73 × 24 = ?
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    1,752

Teacher Resources
Teaching Notes

Emphasize place value for each partial product. Clearly demonstrate the place-value shift when multiplying by the tens digit.

Vocabulary
Partial Product: A product found during multiplication steps.
Algorithm: A step-by-step procedure for solving a problem.
Common Mistakes
  • Forgetting shift
  • Forgetting the tens digit place-value shift (zero placeholder).
  • Incorrectly aligning partial products.
  • Errors in addition when summing partial products.
  • Misplacing or forgetting carries.
Differentiation
SupportUse grid paper or graphic organizers to align digits. Relate to area models.
ChallengeChallenge with 2-digit x 3-digit numbers. Explain why the shift works.
Discussion Questions
  • Why do we shift the second partial product to the left?
  • How do partial products relate to the distributive property?
  • What happens if you forget to add the zero placeholder?
  • How is this method similar to multiplying with base ten blocks?
Extension Activities
  • Use graph paper for alignment.
  • Practice with larger numbers.
  • Create word problems.
Parent Tip

Have your child estimate the answer before solving the problem.

Learning Path
Skill Cluster

Number Operations and Algebra

Estimated Time

14 minutes

Skills Practiced
Partials summationShift on tens