Go Back

Place Value

New

Lesson Details

Grade Level
3-5
Duration (minutes)
1
Summary
A Grade 3-5 math lesson explaining place value — how the same digit can mean different amounts depending on its position — and how to write numbers in expanded notation, using 3,452 and 907 as worked examples.

Place value chart showing the digit 7 with three different values (7, 70, 700) depending on its place, plus two expanded notation examples: 3,452 broken into 3,000 + 400 + 50 + 2, and 907 broken into 900 + 0 + 7

Student Worksheet: Place Value

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Key Concepts:

• Place Value: A digit’s value depends on where it is in a number — the same digit can mean different amounts in different places.

• The Places: From right to left: ones, tens, hundreds, and thousands.

• Expanded Notation: Shows the value of each digit added together, like 3,452 = 3,000 + 400 + 50 + 2.

• Zero as a Placeholder: A 0 in a place means there is none of that place value, but it still holds the spot so the other digits keep their correct value.

Instructions: Read each question carefully and write your answer in the space provided.

  1. Question 1: Look at 7, 70, and 700. Why does the digit 7 have a different value in each number?
  2. Question 2: In 3,452, what place is the digit 4 in, and what value does it represent?
  3. Question 3: Write 3,452 in expanded notation.
  4. Question 4: In 907, what place is the digit 0 in, and what does it tell you?
  5. Question 5: Write 907 in expanded notation.
Click to reveal Teacher Answer Key

1. Because its place changes — in 7 it’s in the ones place, in 70 it’s in the tens place, and in 700 it’s in the hundreds place.

2. The 4 is in the hundreds place, so it represents 400.

3. 3,452 = 3,000 + 400 + 50 + 2.

4. The 0 is in the tens place, which tells you there are 0 tens in this number.

5. 907 = 900 + 0 + 7.

Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

🎯 Extension Activity: Write the number 5,038 in expanded notation. Then explain what the digit 0 tells you about that number.

Related Lessons

Scroll to Top