Place Value: Build 4-Digit Numbers from Expanded Notation

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

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.

Skill Cluster

Number Sense & Place Value

Estimated Time

15 minutes

Skills Practiced

Prerequisites

• Understanding place value up to hundreds
• Multiplying by tens and hundreds

Next Steps

• Writing 4-digit numbers in expanded form (from standard)
• Comparing 4-digit numbers
• Place Value: Write 4-Digit Numbers (from word form)
• Place Value: Compare 4-Digit Numbers