# Place Value and Face Value

Place value and face value are related to numerical numbers. Students get a chance to learn the difference between place value and face value.

In this learning concept, the students will also learn to

• Classify place value definition and face value definition.
• Evaluate the number in expanded form and numbers in standard form.
• Identify the place value by an Indian place value chart.

Each concept is explained to class 4 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the place value and face value worksheet and check the solutions to the place value and face value questions for students provided in PDF format.

### What Is Face Value?

Definition: In a number, face value of a digit is the digit itself.

Examples: face value of 7 in the number 17321 is 7. Face value of each digit in the number 3167 is shown below.

### What Is Place Value?

Definition: Place value of a digit in a number is the digit multiplied by its position value.

### Indian Place Value Chart:

Examples: face value of 7 in the number 17321 is 7. Face value of each digit in the number 3167 is shown below.

• As we move left on the place value chart the place value increases by 10.

Examples: place value of 4 in the number 15, 321 is 5 × 1000 = 5000.
The place value of each digit in the number 5168 is shown below.

### Numbers in Expanded Form

We can write a number in expanded form by the number as the sum of the place values of its digits.

Examples: expanded form of the number 4130 is written as 4000 + 100 + 30 + 1.

Expanded form of the number 12731 is shown below.

### Numbers in Standard Form

A number written in its small form using its digits.

Examples:1750, 25,750, 1300, etc.

Question:Write the given numbers in the standard form:

1. 50,000 + 2,000 + 500 + 10 + 3
2. 3,000 + 20 + 1

1. The number is 52,513.

2. The number is 3,021.

Relation between 10 and 100:

10 tens make 1 hundred.

Relation between 100 and 1000:

10 hunndreds make 1 thousand.