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First/Place Value Rounding

🔢 Place Value: Expanded Notation (3-Digit)

Write 3-digit numbers in expanded form using multiplication by place value (hundreds, tens, ones).
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🔢 Place Value: Expanded Notation (3-Digit) preview

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Practice Questions

  1. 821
    Show answer

    8 x 100 + 2 x 10 + 1 x 1

  2. 506
    Show answer

    5 x 100 + 0 x 10 + 6 x 1

  3. 740
    Show answer

    7 x 100 + 4 x 10 + 0 x 1

  4. 395
    Show answer

    3 x 100 + 9 x 10 + 5 x 1

  5. 202
    Show answer

    2 x 100 + 0 x 10 + 2 x 1

Teacher Resources
Teaching Notes

Emphasize that place value dictates the multiplier. Connect to base-10 blocks to visualize hundreds, tens, and ones.

Vocabulary
Expanded Form: Number shown as sum of products.
Place Value: The value of a digit based on its position.
Common Mistakes
  • Incorrectly identifying place values (e.g., 4 is hundreds in 345).
  • Using addition instead of multiplication for expanded form.
  • Multiplying by incorrect place value (e.g., 4 x 100 instead of 4 x 10).
Differentiation
SupportUse place value charts and manipulatives to visualize numbers.
ChallengeExtend to 4-digit numbers or explain how it relates to decimals.
Discussion Questions
  • How does expanded form show the value of each digit?
  • Why do we multiply by 100 for the hundreds place?
  • What changes when writing a 4-digit number in this form?
  • How is this different from expanded form using only addition?
Extension Activities
  • Write numbers in expanded form.
  • Identify place values.
  • Create number sentences.
Parent Tip

Ask your child to write the price of groceries in expanded form.

Learning Path
Skill Cluster

Number Sense: Place Value

Estimated Time

15 minutes

Skills Practiced
Standard to expanded formPlace value multiplicationUnderstanding number composition