Shark Learning
Grade 4/Multiplication

Distributive: Best Decomposition Choice

Strategic selection among multiple decompositions for distributive efficiency.
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Easy
1
12 questions
2
12 questions
Medium
1
12 questions
2
12 questions
Hard
1
12 questions
2
12 questions

Practice Questions

  1. 8 × 47 → (40+7) or (30+17)
    Show answer

    376

  2. 6 × 58 → (50+8) or (40+18)
    Show answer

    348

  3. 9 × 64 → (60+4) or (50+14)
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    576

  4. 7 × 53 → (50+3) or (40+13)
    Show answer

    371

  5. 8 × 79 → (80-1) or (70+9)
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    632

Teacher Resources
Teaching Notes

Emphasize choosing efficient splits for easier mental math. Discuss how different decompositions impact problem complexity.

Vocabulary
Decomposition: Breaking a number into smaller parts.
Friendly Numbers: Numbers that are easy to work with.
Common Mistakes
  • Selecting uneven split
  • Inefficient number decomposition
  • Incorrect partial products calculation
  • Forgetting to add partial products
  • Misapplying the distributive property
Differentiation
SupportUse manipulatives, smaller numbers. Provide pre-selected decomposition options.
ChallengeJustify decomposition choices. Apply to larger, multi-digit factors.
Discussion Questions
  • Why is one split better than another?
  • How does this help with mental math?
  • When is this strategy most useful?
  • Can you explain your decomposition choice?
Extension Activities
  • Compare different splits.
  • Explain your choice.
  • Solve with the best split.
Parent Tip

Ask your child to choose the easiest way to count coins in a jar.

Learning Path
Skill Cluster

Number Sense & Operations

Estimated Time

14 minutes

Skills Practiced
Strategic decompositionDistributive property