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Place Value
Understand how the position of a digit determines its value in whole numbers and decimals.
Find It. Learn It. Master It.
Beginner
15–20 minutes
The Number System
The Number System
Page 1 of 5
Inside Cover
Place Value
At a Glance
Binder SectionThe Number System
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesRecognizing digits 0–9 and reading whole numbers
How does the value of a digit change depending on its position in a number?
Build Understanding
Place value is the concept that the position, or place, of a digit in a number determines its value. Each position is ten times the value of the position to its right and one-tenth the value of the position to its left.
This Binder Page covers money and decimals, powers of ten, and comparing decimals.
Visual Model
4Thousands
3Hundreds
2Tens
7Ones
4,327 = 4,000 + 300 + 20 + 7
Goals
Learning Targets
- Identify the value of a digit in a whole number or decimal.
- Read and write numbers in standard, expanded, and word form.
- Compare decimals using place value.
- Explain how powers of ten affect a digit’s value.
Click each word
Interactive Vocabulary
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Reveal one step at a time
Worked Examples
Example 1
Find the value of 7 in 57,214
1
Locate the digit 7.
2
The 7 is in the thousands place.
3
Its value is 7,000.
Example 2
Compare 0.56 and 0.506
1
Line up the decimal points.
2
Write 0.56 as 0.560.
3
Compare digit by digit: 0.560 is greater than 0.506.
Example 3
Write 4,302 in expanded form
1
Identify each digit’s place.
2
Multiply each digit by its place value.
3
4,302 = 4,000 + 300 + 2.
Low-stakes practice
Check Your Understanding
What is the value of the 8 in 18,452?
Which number is greater?
Which is the expanded form of 3,407?
Ask and explain
Common Questions
Why does the same digit have different values?
A digit’s value depends on its position in the number.
Why is zero important?
Zero can act as a placeholder so every other digit remains in the correct place.
Notice and correct
Common Misconceptions
The digit 6 in 4.63 has a value of 6.
The 6 is in the tenths place, so its value is 0.6.
0.45 is greater than 0.5 because 45 is greater than 5.
Compare decimals by place value: 0.45 is less than 0.50.
Zero never matters in a number.
Zero can be a placeholder that keeps every other digit in the correct place.
Learn Through Video
Watch, pause, and explain
Use the chapter markers, key vocabulary, and reflection prompts to stay actively engaged while you watch.
Not Started
Active Viewing
Pause & Think
Pause the video and explain the difference between a digit and its value.
Write 6,304 in expanded form before the video reveals the answer.
Compare 0.7 and 0.65. Explain which place you compare first.
Use this space for the full Place Value video transcript or a teacher-written summary. Students can read along, review key ideas, and print the transcript for their binder.
Build Your Skills
Practice until you can explain it
Move from a quick warm-up to guided practice, independent work, and deeper challenges.
0%
0 of 4 stages complete
Warm-Up
Guided
Independent
Challenge
1
Quick Start
Warm-Up
In 4,327, which digit is in the hundreds place?
2
We Do
Guided Practice
What is the value of 6 in 26,415?
Write 5,204 in expanded form.
Which is greater: 0.7 or 0.65?
3
You Do
Independent Practice
What is the value of 8 in 18,452?
Write 7,030 in expanded form.
Which is greater: 0.506 or 0.56?
4
Stretch Your Thinking
Challenge & Real-World Practice
Create a six-digit number in which the largest digit is in the thousands place. Explain how you know.
Can two different digits have the same value in one number? Explain your reasoning.
A stadium seats 42,518 people. What value does the digit 2 represent?
A store sold $5,204 worth of supplies. Write the amount in expanded form.
Practice Complete
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IXL
Convert Between Place Values
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Place Value Unit
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Open resourceDeltaMath
Identify Place Value, Whole Number L1
Open resourceIdentify Place Value, Decimal L1
Open resourceStandard to Expanded Form (Whole Number)
Open resourceCompare the Value of Digits (Whole Numbers)
Open resourceRounding Numbers Level 1
Open resource
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Place Value Learning Targets
Check each goal as it becomes comfortable, then reflect on what helped.
I can name the place and value of a digit.
I can read and write whole numbers in standard, word, and expanded form.
I can compare whole numbers using <, >, and =.
I can explain how a digit’s value changes when it moves one place.
Place Value Vocabulary Flaps
Define, illustrate, and use four important words. The print version includes cut and fold guides.
digit
place
value
expanded form
Build a Place Value Chart
Organize a number by period, place, digit, and value.
Millions
Hundred Thousands
Ten Thousands
Thousands
Hundreds
Tens
Ones
I Do • We Do • You Do
Study one model, complete one guided example, and explain one independently.
I Do: 483,216 = 400,000 + 80,000 + 3,000 + 200 + 10 + 6
We Do: Write 705,094 in expanded form.
You Do: Choose a six-digit number and show three forms.
Place Value Quick Reference
Create a personal reminder page for reading, writing, comparing, and checking numbers.
Name the place before stating the value.
Read numbers in groups of three digits.
Compare from the greatest place first.
Use zero as a placeholder when a place has no amount.
Place Value Check-In
Show what you know and choose the next step that would help.
In 684,231, what is the value of the digit 8?
Write 900,000 + 20,000 + 7 in standard form.
Which is greater: 507,120 or 507,102? Explain.
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Before you begin, I can…
- I can identify the value of any digit.
- I can write a number in standard, expanded, and word form.
- I can compare two decimals and explain my reasoning.
1
Question 1
In 42.68, what is the value of the 6?
2
Question 2
Which is greater?
3
Question 3
Which is the expanded form of 5,204?
4
Question 4
What happens when a digit moves one place left?
5
Question 5
What place is the 3 in 0.034?
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Badge EarnedPlace Value Master
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