Decimal Place Value for Class 4: Step-by-Step Guide, Definition and Solved Examples

Place value in decimals helps us understand the value of each digit after the decimal point.

In whole numbers, digits to the left of the decimal represent ones, tens, hundreds, and so on. But in decimals, digits to the right represent parts of a whole.

For example, in the number 3.456:

• 3 is in the ones place
• 4 is in the tenths place (4/10)
• 5 is in the hundredths place (5/100)
• 6 is in the thousandths place (6/1000)

Each place to the right becomes 10 times smaller than the previous one.

So:

• 0.1 = one tenth
• 0.01 = one hundredth
• 0.001 = one thousandth

Understanding place value in decimals helps you read, compare, and perform operations with decimal numbers easily.

Table of Contents

• What is Place Value?
• Place Value Chart for Class 4
• Face Value vs Place Value
• Expanded Form Using Place Value
• Solved Examples on Place Value
• Practice Questions on Place Value
• Place Value Worksheet for Class 4

What is Place Value?

Place value is the value of each digit in a number based on its position. Each position in a number has a different value. The value of a digit depends on where it stands in the number.

• Every digit has a place value
• The same digit has different values in different positions
• Place values increase by ten times from right to left
• Place values are: Ones, Tens, Hundreds, Thousands, and so on

Example: In the number 5,234

• The digit 4 is in the Ones place
• The digit 3 is in the Tens place
• The digit 2 is in the Hundreds place
• The digit 5 is in the Thousands place

Place Value Chart for Class 4

A place value chart helps us understand the value of each digit in a number. Look at the chart below:

Ten Thousands	Thousands	Hundreds	Tens	Ones
10,000	1,000	100	10	1
2	4	5	6	7

In this chart, the number is 24,567

Reading: Twenty-four thousand, five hundred and sixty-seven

Visual Representation of Place Values:

24,567
  |      |      |      |      |
  2     4    5     6     7
  |      |      |      |      |
10K  1K  100  10   1

Face Value vs Place Value

It is important to understand the difference between face value and place value.

Aspect	Face Value	Place Value
Definition	The actual digit itself	The value based on position
Example	In 345, face value of 4 is 4	In 345, place value of 4 is 40
Same or Different?	Always same	Differs with position

Example :

Number: 7,392

• Digit 7: Face value = 7, Place value = 7,000
• Digit 3: Face value = 3, Place value = 300
• Digit 9: Face value = 9, Place value = 90
• Digit 2: Face value = 2, Place value = 2

Expanded Form Using Place Value

Expanded form is a way of writing a number by showing the place value of each digit. It breaks down a number into its parts.

How to Write Expanded Form:

1. Identify each digit and its place value

2. Write each digit with its place value

3. Add a plus sign between them

Example 1:

Number: 5,643

Expanded form: 5,000 + 600 + 40 + 3

Breakdown:

• 5 is in Thousands place = 5,000
• 6 is in Hundreds place = 600
• 4 is in Tens place = 40
• 3 is in Ones place = 3

Example 2:

Number: 12,405

Expanded form: 10,000 + 2,000 + 400 + 5

8,276
  |      |      |      |
  8      2      7      6
  |      |      |      |
8K  2H  7T   6O
  |      |      |      |
8000 + 200 + 70 + 6

Solved Examples on Place Value

1: What is the place value of 7 in 27,568?

Answer: In 27,568, the digit 7 is in the Ones place. So the place value of 7 is 7.

2: Write 43,582 in expanded form.

Answer: 40,000 + 3,000 + 500 + 80 + 2

3: What is the place value of 5 in 5,934?

Answer: In 5,934, the digit 5 is in the Thousands place. So the place value of 5 is 5,000.

4: Find the face value and place value of 8 in 18,724.

Answer: Face value of 8 is 8. Place value of 8 is 8,000 (as it is in the Thousands place).

5: Which digit is in the Hundreds place in 56,789?

Answer: The digit 7 is in the Hundreds place. Its place value is 700.

6: What number is shown by this expanded form: 20,000 + 3,000 + 400 + 50 + 6?

Answer: The number is 23,456.

7: What is the place value of 4 in 34,125?

Answer: In 34,125, the digit 4 is in the Thousands place. So the place value of 4 is 4,000.

8: Write 7,008 in expanded form.

Answer: 7,000 + 8

9: Compare the place values. In 99,999, what is the difference between the first 9 and the last 9?

Answer: The first 9 is in the Ten Thousands place (90,000). The last 9 is in the Ones place (9). The difference is 90,000 - 9 = 89,991.

10: In the number 42,637, which digit has the place value of 600?

Answer: The digit 6 has the place value of 600 because it is in the Hundreds place.

Practice Questions on Place Value

Solve these questions to practice your understanding of place value. Write your answers in your notebook.

1: Find the place value of each digit in 63,481.

2: Write 91,234 in expanded form.

3: What is the difference between face value and place value of 6 in 56,789?

4: Write the number shown by: 50,000 + 1,000 + 200 + 30 + 4

5: In 27,305, which digit is in the Tens place?

6: What is the place value of 0 in 30,045?

7: Arrange the digits 5, 3, 1, 9, 2 to make the largest number possible. What is its expanded form?

8: If a digit has a place value of 8,000, which place is it in and what could the digit be?

9: Write 40,006 in expanded form.

10: Compare two numbers using place value: 45,678 and 45,768. Which is larger and by how much?

Place Value Worksheet for Class 4

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