Shark Learning
Second/Place Value Rounding

🔢 Place Value: Write 4-Digit Numbers in Expanded Form

Write 4-digit numbers from expanded form (thousands, hundreds, tens, ones).
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🔢 Place Value: Write 4-Digit Numbers in Expanded Form preview

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Practice Questions

  1. 3,214
    Show answer

    3 x 1,000 + 2 x 100 + 1 x 10 + 4 x 1

  2. 6,508
    Show answer

    6 x 1,000 + 5 x 100 + 0 x 10 + 8 x 1

  3. 1,720
    Show answer

    1 x 1,000 + 7 x 100 + 2 x 10 + 0 x 1

  4. 8,093
    Show answer

    8 x 1,000 + 0 x 100 + 9 x 10 + 3 x 1

  5. 5,400
    Show answer

    5 x 1,000 + 4 x 100 + 0 x 10 + 0 x 1

Teacher Resources
Teaching Notes

Reinforce place value understanding by guiding learners to convert expanded notation into standard 4-digit numbers. Emphasize the role of each digit's position and value.

Vocabulary
Expanded Notation: Number shown as sum of products.
Standard Notation: The common way to write a number.
Common Mistakes
  • Misplacing digits or ignoring a zero placeholder (e.g., 3000 + 50 = 350).
  • Confusing the value of tens and hundreds places.
  • Incorrectly summing components when numbers are not in descending order.
Differentiation
SupportUse place value charts or base-ten blocks to model numbers.
ChallengeChallenge with missing components in expanded form or larger numbers.
Discussion Questions
  • How does expanded form help us understand the value of each digit?
  • What happens if there's a zero in the tens place in expanded form?
  • Can you write 4-digit numbers in different expanded forms?
  • How is this skill useful in real-world situations, like reading large numbers?
Extension Activities
  • Write numbers in expanded notation.
  • Convert between forms.
  • Create number puzzles.
Parent Tip

Have your child explain how a number like 345 is written in expanded notation.

Learning Path
Skill Cluster

Number Sense & Place Value

Estimated Time

15 minutes

Skills Practiced
Expanded notation to standardPlace value multiplicationUnderstanding number structure