Shark Learning
Grade 5/Multiplication

Column Multiplication: 4-Digit x 2-Digit (852)

4-digit × 2-digit products with multiple carries and zeros.
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Teacher Resources
Teaching Notes

Emphasize place value and managing multiple carries. Review partial product alignment carefully.

Vocabulary
Partial Product: A product found during multiplication steps.
Alignment: Placing digits correctly in columns.
Common Mistakes
  • Dropped carry
  • Misaligning partial products
  • Forgetting to add carries
  • Errors with zeros in factors
  • Basic multiplication fact errors
Differentiation
SupportUse grid paper; color-code place values.
ChallengeEstimate product before computing; explain steps.
Discussion Questions
  • Why is place value critical here?
  • How do zeros in factors impact partial products?
  • What is the role of regrouping (carrying)?
  • How does this build on simpler multiplication?
Extension Activities
  • Use estimation to check answers.
  • Work with even larger numbers.
  • Explain the process to a friend.
Parent Tip

Encourage your child to double-check their carrying and addition.

Learning Path
Skill Cluster

Number Sense and Operations

Estimated Time

18 minutes

Skills Practiced
partials summationcarry tracking
Prerequisites
  • 851
  • Multiplication facts (0-12)
  • Multiplication (3-digit × 1-digit)
  • Multiplication (2-digit × 2-digit)
  • Addition with regrouping
Next Steps
  • Multiplication (3-digit × 3-digit)
  • Division with multi-digit numbers
  • Solving multi-step word problems
  • Column Multiplication: 4-digit × 2-digit - Set C
  • Multi-Digit Multiplication Word Problems
  • Multi-Digit Division: 3-digit ÷ 2-digit