Build a 6-Digit Number (Expanded Form) (722)

Teaching Notes

Students practice composing a 6-digit number from place value parts. Encourage reading the number by periods and checking magnitude reasonableness.

Vocabulary

Expanded Form: Number written as sum of place values.

Digit: A single symbol used to write numbers.

Common Mistakes

• Misaligning place values when writing standard form
• Dropping zeros for empty places
• Reversing digit order (e.g., swapping tens and ones)
• Forgetting zeros for empty place values
• Misplacing digits in standard form
• Confusing value of each digit
• Incorrectly adding place value parts

Differentiation

Discussion Questions

• How does a zero hold place value structure?
• Why does exchanging 1 thousand for 10 hundreds not change value?
• What strategy helps avoid digit transposition?
• Why is the digit zero essential when composing numbers?
• How does expanded form help in writing standard form?
• What happens if you omit a zero in a large number?
• How do place value names relate to digit position?

Extension Activities

• Create two different numbers using the same non-zero digits
• Write a word problem whose answer is one composed number
• Compare two composed numbers using > < =

Parent Tip

Have your child write numbers for prices of large items.

Skill Cluster

Number Sense

Estimated Time

12 minutes

Skills Practiced

Prerequisites

• gr3_place_value
• Understanding Place Value to 10,000
• Expanded Form Basics

Next Steps

• Decomposing Multi-Digit Numbers
• Comparing and Ordering Large Numbers
• Decompose a 6-Digit Number
• Compare Multi-Digit Numbers
• Rounding to the Nearest Hundred Thousand