Educational Infographic: 4-Digit Numbers and Place Value

Visual-first learning guide explaining 4-digit numbers and place value concepts with detailed exercises and solutions for 3rd grade math students.

Understanding 4-Digit Numbers
Thousands Hundreds Tens Ones
4-Digit Number Structure
Key Definitions:

4-Digit Number: A number that uses exactly 4 digits (from 1000 to 9999).

Place Value: The value of each digit depends on its position in the number.

Thousands Place: The leftmost position (value × 1000).

Hundreds Place: The second position from the left (value × 100).

Tens Place: The third position from the left (value × 10).

Ones Place: The rightmost position (value × 1).

2
Thousands
2000
3
Hundreds
300
4
Tens
40
5
Ones
5
Reading 4-Digit Numbers:
  1. Start from the left (thousands place)
  2. Read the thousands digit followed by "thousand"
  3. Read the remaining digits as a 3-digit number
  4. Combine them together
Solved Exercises: 4-Digit Numbers
1 Place Value Identification
Exercise 1
Identify the place value of each digit in the number 4,728.
Definition:

Place Value: Each position in a number has a specific value based on its place.

Place value identification method:
  1. Identify the position of each digit (left to right)
  2. Determine the place value for each position
  3. Calculate the actual value of each digit
Given
Number = 4,728
Positions
Th H T O
Result
4000+700+20+8
Step 1: Identify each digit's position

4 is in thousands place, 7 is in hundreds place, 2 is in tens place, 8 is in ones place

Step 2: Determine place value

4 × 1000 = 4000, 7 × 100 = 700, 2 × 10 = 20, 8 × 1 = 8

Step 3: Write expanded form

4,728 = 4000 + 700 + 20 + 8

4,728 = 4000 + 700 + 20 + 8
Final answer:

4 is in thousands place (4000), 7 is in hundreds place (700), 2 is in tens place (20), 8 is in ones place (8).

Applied rules:

• Position Matters: Each place has a different value

• Multiplication: Digit × place value multiplier

• Expanded Form: Shows the value of each digit

2 Expanded Form
Exercise 2
Write the number 5,361 in expanded form.
Definition:

Expanded Form: Writing a number to show the value of each digit.

Given
Number = 5,361
Expanded
5000+300+60+1
Result
5,361
Step 1: Identify each digit and its place

5 is in thousands place, 3 is in hundreds place, 6 is in tens place, 1 is in ones place

Step 2: Calculate each digit's value

5 × 1000 = 5000, 3 × 100 = 300, 6 × 10 = 60, 1 × 1 = 1

Step 3: Write in expanded form

5,361 = 5000 + 300 + 60 + 1

5,361 = 5000 + 300 + 60 + 1
Final answer:

The expanded form of 5,361 is 5000 + 300 + 60 + 1.

Applied rules:

• Digit × Place Value: Calculate each digit's contribution

• Addition: Sum all place values to get original number

• Verification: Check that sum equals original number

3 Comparing 4-Digit Numbers
Exercise 3
Compare 3,456 and 3,465. Which number is greater?
Definition:

Comparing Numbers: Determining which number is larger by comparing digits from left to right.

Given
3,456 vs 3,465
Compare
Left to right
Result
3,465 > 3,456
Step 1: Compare thousands place

Both have 3 in thousands place, so continue to next digit

Step 2: Compare hundreds place

Both have 4 in hundreds place, so continue to next digit

Step 3: Compare tens place

3,456 has 5 in tens place, 3,465 has 6 in tens place

Step 4: Determine greater number

Since 6 > 5, then 3,465 > 3,456

3,465 > 3,456
Final answer:

3,465 is greater than 3,456 because in the tens place, 6 > 5.

Applied rules:

• Left to Right: Compare digits starting from the left

• First Difference: The first differing digit determines the larger number

• Same Places: Continue comparing if digits are equal

Expanded Form & Number Comparisons
1
× 1000
= 1000
2
× 100
= 200
3
× 10
= 30
4
× 1
= 4
Greater Than (>)
  • Used when first number is larger
  • Example: 2,345 > 1,987
  • Point opens toward larger number
Less Than (<)
  • Used when first number is smaller
  • Example: 1,567 < 2,345
  • Point opens toward smaller number
Tip 1: Remember the order: Thousands, Hundreds, Tens, Ones (THTO).
Tip 2: When comparing, start with the leftmost digit and work right.
Tip 3: The > symbol points to the smaller number.
Tip 4: Expanded form helps understand what each digit represents.
Key Patterns:

Pattern Recognition: 4-digit numbers range from 1000 to 9999.

Zero Placeholder: Zeros hold place values (like 1005 has zero hundreds and tens).

Largest 4-Digit: 9999 is the largest 4-digit number.

Smallest 4-Digit: 1000 is the smallest 4-digit number.

4-Digit Numbers Questions & Answers

Question: Why do we need to learn about thousands place? I don't see numbers that big in everyday life.

Answer: Actually, you encounter 4-digit numbers more often than you think! Here are some examples:

  • Money: $1,000, $2,500 for savings accounts
  • Age: 1,000 days old is about 2.7 years
  • Distance: 1,000 miles is a long trip
  • Population: Small towns have populations in thousands
  • Year: 2024 is a 4-digit year

Learning about thousands place prepares you for bigger numbers and real-world situations!

Question: My child is getting confused with place value. How can I help them understand the difference between the digit and its value?

Answer: Here are strategies to clarify digit vs. value:

  • Base-10 Blocks: Use physical blocks to represent thousands, hundreds, tens, and ones
  • Color Coding: Use different colors for each place value position
  • Real Examples: Show how the same digit has different values in different places
  • Practice Reading: Say numbers aloud emphasizing each place value

Remember: The digit is the numeral (0-9), but its value depends on its position!

Question: What happens when we have a number like 1005? How do the zeros affect the place value?

Answer: Zeros in place value act as placeholders that maintain the position of other digits:

  • In 1005: 1 is in thousands place (1000), 0 in hundreds place (0), 0 in tens place (0), 5 in ones place (5)
  • Value: 1005 = 1000 + 0 + 0 + 5
  • Without zeros: The number would be 15, which is completely different
  • Importance: Zeros preserve the structure and meaning of the number

Even though zeros have no value themselves, they're crucial for maintaining place value structure!