Binder Page

Place Value

Understand how the position of a digit determines its value in whole numbers and decimals.

Find It. Learn It. Master It.

My Progress
Beginner 15–20 minutes The Number System
The Number System Page 1 of 5
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At a Glance

Place Value
Binder SectionThe Number System
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesRecognizing digits 0–9 and reading whole numbers
Essential Question

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

Reveal one step at a time

Worked Examples

Example 1

Find the value of 7 in 57,214

1

Locate the digit 7.

Example 2

Compare 0.56 and 0.506

1

Line up the decimal points.

Example 3

Write 4,302 in expanded form

1

Identify each digit’s place.

Low-stakes practice

Check Your Understanding

Quick Check 1

What is the value of the 8 in 18,452?

Quick Check 2

Which number is greater?

Quick Check 3

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
Now Playing

Place Value with Mr. J Playlist

Active Viewing

Pause & Think

Pause & Think 1

Pause the video and explain the difference between a digit and its value.

Pause & Think 2

Write 6,304 in expanded form before the video reveals the answer.

Pause & Think 3

Compare 0.7 and 0.65. Explain which place you compare first.

Next Step

Ready to practice?

Use Practice It to apply what you just watched.

Go to Practice It →
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

Warm-up 1

Directions: Solve the problem. Show your thinking, then enter only your final answer.

In 4,327, which digit is in the hundreds place?

Organize 4 by place valueUse the picture to organize what you know before you solve.

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Use the lesson method. Show each step, then enter only your final answer.

What is the value of 6 in 26,415?

Organize 6 by place valueUse the picture as you work through each step.

Choose how you want to work or answer.

Guided 2

Directions: Use the lesson method. Show each step, then enter only your final answer.

Write 5,204 in expanded form.

Organize 5 by place valueUse the picture as you work through each step.

Choose how you want to work or answer.

Guided 3

Directions: Use the lesson method. Show each step, then enter only your final answer.

Which is greater: 0.7 or 0.65?

Plan your solutionRecord what you know, choose a model or rule, and solve without revealing the final answer.
What do Iknow?Which rulefits?What must Ifind?

Choose how you want to work or answer.

3
You Do

Independent Practice

Independent 1

Directions: Solve independently. Show your work, check it, then enter only your final answer.

What is the value of 8 in 18,452?

Organize 8 by place valueUse the picture to organize what you know before you solve.

Choose how you want to work or answer.

Independent 2

Directions: Solve independently. Show your work, check it, then enter only your final answer.

Write 7,030 in expanded form.

Organize 7 by place valueUse the picture to organize what you know before you solve.

Choose how you want to work or answer.

Independent 3

Directions: Solve independently. Show your work, check it, then enter only your final answer.

Which is greater: 0.506 or 0.56?

Organize 0.506 by place valueUse the picture to organize what you know before you solve.

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Create a six-digit number in which the largest digit is in the thousands place. Explain how you know.

🧩 Challenge

Can two different digits have the same value in one number? Explain your reasoning.

🌎 Real-World Math

A stadium seats 42,518 people. What value does the digit 2 represent?

🌎 Real-World Math

A store sold $5,204 worth of supplies. Write the amount in expanded form.

IXL

Khan Academy

DeltaMath

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Success Criteria

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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Related Binder Pages

Number Operations Fractions & Decimals Order of Operations (PEMDAS) Scientific Notation
Lesson Complete

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