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First/Place Value Rounding

🔢 Place Value: Build 4-Digit Numbers from Expanded Notation

Build 4-digit numbers from expanded multiplication expressions (thousands, hundreds, tens, ones).
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Study Guide

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🔢 Place Value: Build 4-Digit Numbers from Expanded Notation preview

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Practice Questions

  1. ? = 5 x 1,000 + 3 x 100 + 8 x 10 + 7 x 1
    Show answer

    5387

  2. ? = 2 x 1,000 + 0 x 100 + 4 x 10 + 6 x 1
    Show answer

    2046

  3. ? = 9 x 1,000 + 1 x 100 + 0 x 10 + 5 x 1
    Show answer

    9105

  4. ? = 4 x 1,000 + 6 x 100 + 3 x 10 + 0 x 1
    Show answer

    4630

  5. ? = 7 x 1,000 + 0 x 100 + 0 x 10 + 2 x 1
    Show answer

    7002

Teacher Resources
Teaching Notes

Emphasize how each digit's position determines its value. Guide learners to combine the multiplied place values to form the standard number.

Vocabulary
Expanded Form: Number shown as sum of products.
Whole Number: A non-negative integer number.
Common Mistakes
  • Incorrectly multiplying by the place value (e.g., 4 x 1000 = 400).
  • Incorrectly ordering digits when combining values (e.g., 2000 + 50 + 3 becomes 253).
  • Omitting zeros for missing place values (e.g., 2 x 1000 + 3 x 1 becomes 23 instead of 2003).
Differentiation
SupportUse place value charts or manipulatives to visualize the values.
ChallengeChallenge with 5-digit numbers or missing place value terms.
Discussion Questions
  • What does 'expanded form' mean and why is it useful?
  • How does the position of a digit in a number change its value?
  • Can you give an example of a number with a zero in the hundreds place?
  • How is writing a number from expanded form like putting together a puzzle?
Extension Activities
  • Write numbers from expanded form.
  • Practice multiplication facts.
  • Build numbers with blocks.
Parent Tip

Ask your child to build numbers using base-ten blocks and write the expanded form.

Learning Path
Skill Cluster

Number Sense & Place Value

Estimated Time

15 minutes

Skills Practiced
Expanded form to standardMultiplication factsPlace value computation