Introduction to 4-Digit Numbers
In Class 3, students move beyond 3-digit numbers and begin exploring 4-digit numbers -- numbers from 1000 to 9999. A 4-digit number has four place values: thousands, hundreds, tens, and ones.
Understanding 4-digit numbers is important for counting larger quantities, reading distances, measuring weights, and working with real-life numbers.
What is Introduction to 4-Digit Numbers - Class 3 Maths (Numbers)?
A 4-digit number has four digits. The smallest 4-digit number is 1000 (one thousand) and the largest is 9999 (nine thousand nine hundred ninety-nine).
| Thousands (Th) | Hundreds (H) | Tens (T) | Ones (O) |
|---|---|---|---|
| 1-9 | 0-9 | 0-9 | 0-9 |
Example: In 3572, Thousands = 3, Hundreds = 5, Tens = 7, Ones = 2.
Types and Properties
Reading and writing 4-digit numbers:
- Expanded form: 4526 = 4000 + 500 + 20 + 6
- Number name: 4526 = Four thousand five hundred twenty-six
- Standard form: 4526
Key facts:
- The number after 999 is 1000.
- The number after 9999 is 10000 (a 5-digit number).
- The face value of a digit is the digit itself. The place value depends on its position.
Solved Examples
Example 1: Identifying Place Values
Question: Write the place value of each digit in 6834.
Think:
- 6 is in the Thousands place → 6000
- 8 is in the Hundreds place → 800
- 3 is in the Tens place → 30
- 4 is in the Ones place → 4
Answer: 6 → 6000, 8 → 800, 3 → 30, 4 → 4.
Example 2: Writing Expanded Form
Question: Write 2957 in expanded form.
Think:
- 2957 = 2000 + 900 + 50 + 7
Answer: 2000 + 900 + 50 + 7.
Example 3: Writing Standard Form from Expanded Form
Question: Write the number: 5000 + 300 + 40 + 8
Think:
- Add: 5000 + 300 + 40 + 8 = 5348
Answer: 5348.
Example 4: Writing the Number Name
Question: Write the number name for 7061.
Think:
- 7 thousands = seven thousand
- 0 hundreds = (skip)
- 6 tens = sixty
- 1 one = one
Answer: Seven thousand sixty-one.
Example 5: Forming the Largest and Smallest 4-Digit Number
Question: Using digits 3, 7, 1, and 5, form the largest and smallest 4-digit numbers.
Think:
- Largest: Arrange in descending order → 7531
- Smallest: Arrange in ascending order → 1357
Answer: Largest = 7531, Smallest = 1357.
Example 6: Comparing 4-Digit Numbers
Question: Compare 4829 and 4835. Which is greater?
Think:
- Thousands: 4 = 4
- Hundreds: 8 = 8
- Tens: 2 < 3
- Since 2 < 3, 4829 < 4835
Answer: 4835 is greater.
Example 7: Place Value vs Face Value
Question: In 3482, what is the place value and face value of 4?
Think:
- Face value of 4 = 4 (the digit itself)
- 4 is in the hundreds place → place value = 400
Answer: Face value = 4, Place value = 400.
Example 8: Ordering 4-Digit Numbers
Question: Arrange in ascending order: 5072, 5027, 5720, 5207
Think:
- All start with 5. Compare hundreds: 0, 0, 7, 2
- 5027 < 5072 < 5207 < 5720
Answer: 5027, 5072, 5207, 5720.
Example 9: Real-Life 4-Digit Number
Question: Aman's school has 1250 students. Write this number in expanded form and number name.
Think:
- Expanded: 1000 + 200 + 50 + 0
- Name: One thousand two hundred fifty
Answer: Expanded: 1000 + 200 + 50. Name: One thousand two hundred fifty.
Key Points to Remember
- 4-digit numbers range from 1000 to 9999.
- Place values: Thousands, Hundreds, Tens, Ones.
- Expanded form shows the value of each digit. Example: 3456 = 3000 + 400 + 50 + 6.
- Face value is the digit itself. Place value depends on position.
- Compare 4-digit numbers starting from the leftmost digit.
- The smallest 4-digit number is 1000. The largest is 9999.
- The number after 999 is 1000, and the number after 9999 is 10000.
Practice Problems
- Write the place value of 7 in 7345.
- Write 8206 in expanded form.
- Write the standard form: 3000 + 600 + 0 + 9.
- Write the number name for 5040.
- Using digits 2, 8, 4, 6, form the largest and smallest 4-digit numbers.
- Arrange in descending order: 6789, 6798, 6879, 6897.
- Compare: 3456 ___ 3465. Write > or <.
Frequently Asked Questions
Q1. What is the smallest 4-digit number?
The smallest 4-digit number is 1000 (one thousand).
Q2. What is the largest 4-digit number?
The largest 4-digit number is 9999 (nine thousand nine hundred ninety-nine).
Q3. What is the difference between face value and place value?
Face value is the digit itself, regardless of position. Place value is the value based on position. For the digit 5 in 2543, face value is 5 and place value is 500.
Q4. How do you write a 4-digit number in expanded form?
Break the number by place values. For 4781: 4000 + 700 + 80 + 1.
Q5. How do you compare two 4-digit numbers?
Compare from left to right. Start with the thousands digit. If equal, compare hundreds, then tens, then ones.
Q6. What comes after 9999?
10000 (ten thousand), which is the smallest 5-digit number.
Q7. How do you form the largest number from given digits?
Arrange the digits in descending order (largest first). For digits 3, 1, 7, 5: the largest number is 7531.
Q8. Is introduction to 4-digit numbers in the NCERT Class 3 syllabus?
Yes. 4-digit numbers are introduced in the Numbers chapter of NCERT Class 3 Maths, covering place value, expanded form, and comparison.
