Shark Learning
Grade 5/Multiplication

Multiply in Columns: 4-Digit by 1-Digit

Practice multiplying 4-digit numbers by 1-digit numbers using the vertical multiplication format.
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⭐ Easy2
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📊 Medium2
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🔥 Hard2
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Teacher Resources
Teaching Notes

Emphasize place value alignment and the regrouping process in each column. Encourage students to check their work using estimation.

Vocabulary
Thousands: The place value for 1,000.
Estimate: An approximate calculation or judgment.
Common Mistakes
  • Incorrectly regrouping digits across columns.
  • Errors in basic multiplication facts.
  • Misaligning digits in the final product.
Differentiation
SupportUse grid paper, place value charts, or base-ten blocks.
ChallengeSolve multi-step word problems involving 4-digit by 1-digit multiplication.
Discussion Questions
  • How does place value help when multiplying in columns?
  • When is regrouping necessary in multiplication?
  • Can you describe a real-world use for this skill?
  • What strategies can you use to check your answer for accuracy?
Extension Activities
  • Multiply larger numbers.
  • Introduce 2-digit multipliers.
  • Solve word problems.
Parent Tip

Ask your child to estimate the total cost of 7 items priced at $1,200 each.

Learning Path
Skill Cluster

Number Sense & Operations

Estimated Time

15 minutes

Skills Practiced
multiplication algorithmcarrying overplace value
Prerequisites
  • Basic Multiplication Facts
  • 2-Digit by 1-Digit Multiplication
  • Place Value to Thousands
Next Steps
  • 4-Digit by 2-Digit Multiplication
  • Multiplication Word Problems with Larger Numbers
  • Multiply in Columns: 2-Digit by 1-Digit
  • Multiply in Columns: 3-Digit by 1-Digit
  • Multiply in Columns: 4-Digit by 2-Digit