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First/Multiplication

Distributive Property & Decomposition

Practice multiplying by breaking apart one factor and summing partial products. Connect area model thinking to numeric work.
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Study Guide

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Practice Questions

  1. 34 × 6 = ?
    Show answer

    204

  2. 27 × 7 = ?
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    189

  3. 48 × 5 = ?
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    240

  4. 32 × 9 = ?
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    288

  5. 25 × 12 = ?
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    300

Teacher Resources
Teaching Notes

Emphasize breaking factors by place value. Connect to visual area models for understanding.

Vocabulary
Decompose: Break a number into smaller parts.
Distributive Property: Multiply a sum by multiplying each addend.
Common Mistakes
  • dropping a partial product
  • adding partials incorrectly
  • Incorrect decomposition of factors
  • Forgetting to multiply both parts
  • Errors in adding partial products
  • Misaligning partial products
Differentiation
SupportUse base ten blocks or grid paper.
ChallengeSolve mentally; apply to larger numbers.
Discussion Questions
  • Why does breaking numbers help multiply?
  • How is this strategy like an area model?
  • Can numbers be broken apart in other ways?
  • When is the distributive property most useful?
Extension Activities
  • Decompose both factors.
  • Use money to model decomposition.
  • Create word problems.
Parent Tip

Have your child explain how they broke apart the number.

Learning Path
Skill Cluster

Multiplication Strategies

Estimated Time

12 minutes

Skills Practiced
Distributive propertyDecompose numbers