Shark Learning
Grade 5/Place Value & Rounding

πŸ”’ Expanded Notation (4–6 Digits)

Write each number in expanded notation (digit Γ— place value).
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Easy
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8 questions
2
8 questions
Medium
1
8 questions
2
8 questions
Hard
1
8 questions
2
8 questions

Practice Questions

  1. 4,382
    Show answer

    4Γ—1,000 + 3Γ—100 + 8Γ—10 + 2

  2. 25,407
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    2Γ—10,000 + 5Γ—1,000 + 4Γ—100 + 0Γ—10 + 7

  3. 90,075
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    9Γ—10,000 + 0Γ—1,000 + 0Γ—100 + 7Γ—10 + 5

  4. 306,502
    Show answer

    3Γ—100,000 + 0Γ—10,000 + 6Γ—1,000 + 5Γ—100 + 0Γ—10 + 2

  5. 71,837
    Show answer

    7Γ—10,000 + 1Γ—1,000 + 8Γ—100 + 3Γ—10 + 7

Teacher Resources
Teaching Notes

Translate from expanded form to notation: replace each term with digitΓ—place.

Vocabulary
Expanded Notation: Digit times place value sum.
Place Value: Value of a digit's position.
Common Mistakes
  • Mixing notation with form
  • Forgetting place values like 10,000
  • Forgetting zero place values
  • Incorrectly identifying place value
  • Confusing value with digit
Differentiation
SupportProvide a place-value Γ— table for reference.
ChallengeInclude factored forms (e.g., 3Γ—10Γ—100).
Discussion Questions
  • What does 3Γ—1,000 represent?
  • How do commas in the number relate to place values?
  • Why is expanded notation useful?
  • How does place value help us write numbers?
  • What if a digit is zero in a number?
Extension Activities
  • Convert between expanded form and notation both ways
  • Create a number that has a zero in the hundreds place
Parent Tip

Ask your child to write a number using digit times place value.

Learning Path
Skill Cluster

Number Sense and Place Value

Skills Practiced
Write expanded notationMultiply by powers of 10Identify place value