Expanded Notation (4–6 Digits) (728)

Teaching Notes

Translate from expanded form to notation: replace each term with digit×place.

Vocabulary

Expanded Notation: Digit times place value sum.

Place Value: Value of a digit's position.

Common Mistakes

• Mixing notation with form
• Forgetting place values like 10,000
• Forgetting zero place values
• Incorrectly identifying place value
• Confusing value with digit

Differentiation

Discussion Questions

• What does 3×1,000 represent?
• How do commas in the number relate to place values?
• Why is expanded notation useful?
• How does place value help us write numbers?
• What if a digit is zero in a number?

Extension Activities

• Convert between expanded form and notation both ways
• Create a number that has a zero in the hundreds place

Parent Tip

Ask your child to write a number using digit times place value.

Skill Cluster

Number Sense and Place Value

Skills Practiced

Prerequisites

• 719
• Place Value (Up to 1,000s)
• Multiplication by Powers of 10

Next Steps

• Standard Form from Expanded Notation
• Comparing Numbers (Expanded Form)
• Expanded Form (Decimals)
• Place Value (Up to Millions)
• Comparing Multi-Digit Numbers