Place Value: Expanded Notation (3-Digit) (413)

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

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.

Skill Cluster

Number Sense: Place Value

Estimated Time

15 minutes

Skills Practiced

Prerequisites

• Place Value of 3-Digit Numbers
• Basic Multiplication Facts
• Expanded Form (Additive)

Next Steps

• Standard Form from Expanded Form (Multiplication)
• Expanded Form for 4-Digit Numbers
• Place Value: Expanded Form (Additive)
• Place Value: Standard Form from Expanded Form (Multiplication)
• Place Value: Write 4-Digit Numbers (Expanded Form, x)