Worksheet Library / Number Sense
Complete the Expanded Form
Focus: Three-Digit Place Value. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.
Teaching Notes
Focus: Three-Digit Place Value. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Before You Begin
- Read ones, tens, hundreds, and larger places.
Teaching Steps for Parents and Teachers
- Identify the place of each digit.
- Multiply the digit by its place value.
- Combine the values to recover the number.
- For a blank, identify the missing quantity. Substitute the completed value back into the original statement to check it.
Worked Examples
Write 472 in expanded form.
- Read each digit by its place value.
- Add the values of the nonzero digits.
Answer: 400 + 70 + 2
Common Mistakes and How to Help
A digit and its value are different: the 7 represents 70.
Do the place values add to the original number?
Questions to Check Understanding
- Do the place values add to the original number?
- Which step explains your answer?
- Can you apply the same reasoning when the numbers change?
Practice Advice
Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.
Next Practice
- Use New Numbers to practice the same skill with different values.
- If the learner needs help, return to the example and model each step before trying again.