# Difference Between Place Value and Face Value

It is important that one must understand the difference between Place value and Face value. There are certain key differences between them based on the placement of digits for a given number and related terminologies.

The following table lists the key differences between place value and face value:

 Place value Face value A Place value describes the position or place of a digit in a given number. Face value of a digit describes the value of the digit itself. Each digit of the number has a value depending on its place. It does not depend on the position or place of the digit in a number. Place value of digit = (Face value) × (numerical value of place) Face value of digit = numerical value of the digit itself. The place value of digit 0 in a given number is always 0. The place value of digit 0 is 0. Example: The place value of digit 8 in 5,831 = 8 × 100 = 800. Example: The face value of digit 8 in 5,831 = 8

Solved Example:

Q.1. Find the face value and place value of each digit of 80,156.

Solution:

The face value of 6 in 80,156 = 6.

The place value of 6 in 80,156 = 6 × 1 = 6.

The face value of 5 in 80,156 = 5.

The place value of 5 in 80,156 = 5 × 10 = 50.

The face value of 1 in 80,156 = 1.

The place value of 1 in 80,156 = 1 × 100 = 100.

The face value of 0 in 80,156 = 0.

The place value of 0 in 80,156 = 0 × 1,000 = 0.

The face value of 8 in 80,156 = 8.

The place value of 8 in 80,156 = 8 × 10,000 = 80,000.

Q.2. Find the product of place value of 3 in 1,431 and place value of 5 in 5,001.

Solution:

The place value of 3 in 1,431 = 3 × 10 = 30.

And, the place value of 5 in 5,001 = 5 × 1,000 = 5,000.

Therefore, their product = 30 × 5000 = 1,50,000.

How can place value and face value worksheets help students ?

The place value and face value worksheets are the proper sources of study materials designed for the students of different classes. The questions are framed according to the CBSE exam perspective which will definitely improve the mathematical skills of the students. Some students find difficulty in solving place value decimal problems. Therefore, place value and face value worksheets will help those students to solve all their mathematical problems.

The place value and face value worksheets will help the students sin following ways:

• The place value and face value worksheets will help the students to know the method of writing the whole numbers in the forms of words and in numeric form

•  The worksheets will help students to find the value of each digit in a number. Students will be easily able to solve place value decimal numbers with these worksheets.

• The place value charts made in the worksheets help the students to know where and how to find the decimal points and place the place values of numbers.

Explain Place Value Chart in both Indian and International System.

Place value charts in Mathematics helps the students to ensure that the digits are placed in correct places. To know the exact positional value of numbers, write the given number first in the place value chart and then write the number in the ordinary and standard form. The place value charts provided below help you to know the exact positional values of the numbers.

Place Value chart for Indian System

Place Value chart for International System

Comparison Between Indian and International System

In above place value charts, we can see 5 digits numbers are read in a similar manner in both the Indian and International system. The comparison table given below will help you to know the method to read numbers in both the Indian system and the International system.

### Indian and International System Comparison Table

 No. of digits Indian System International System 5 digits 10 Thousand 10 Thousand 6 digits 1 Lakh 1000 Thousand 7 digits Ten lakhs 1 Million 8 digits 1 Crore 10 Million