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Difference Between Place Value and Face Value

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Last updated date: 14th Jul 2024
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Learn the Difference Between Place and Face Value

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.

The 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.


Sample Question Paper

Learning about Mathematics is indispensable for every student. However, lots of students have this phobia and fear of Math. But CBSE NCERT textbooks are an important contribution in this regard in removing this fear and therefore, they have come up with these question papers. The student can refer to them which is available at the official website of Vedantu. Click and download in PDF format.

FAQs on Difference Between Place Value and Face Value

1. 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.

2. 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

3. Where can I find useful study resources for Face value and Place value?

Mathematics is considered to be a challenging subject by many students and therefore, they fear the subject. But CBSE NCERT books are designed in such a way that it makes the pattern of reading easier for the students. Apart from CBSE NCERT textbooks, the student can always go for RD Sharma as well as RS Aggarwal books which are set up by experts who have got deep Mathematics knowledge and are well researched about the syllabus and pattern of this subject. Therefore, the previous years and mock test papers set up by these experts surely help the students to score higher in this subject. The student needs to start planning and studying with a proper plan for achieving better results. Vedantu is considered one of the websites which have got all relevant and latest information updates. You can have all the updates about the Face value and Place value from the Vedantu website by clicking on the link Difference Between Place Value And Face Value and then downloading all the information in PDF format.

4. While preparing for Exams, when should I start studying the difference between the Face value and Place value to score better marks?

The CBSE NCERT books are designed by the experts in a well-planned way. After years of research and thorough study about the syllabus of Mathematics, they have set the syllabus and question papers in such a way that it would make it easier for the student. The student must follow some long-term rules and side by side they need to have a plan to score well.


Time management skills help the student to be aware of the technique of more time should be distributed to the questions having more marks and less time should be contributed to 1 marks questions helps in teaching you time management skills. 


The student must first cover the CBSE NCERT textbooks and it is mandatory and compulsory and then move on to any reference textbooks and finally revise with the assistance of Vedantu.


The solutions all related to Mathematics are developed by highly qualified experts and professionals who have an in-depth understanding of the current curriculum and the type of questions a student is asked in the exam room. 

5. Why should I prefer Vedantu?

The CBSE NCERT textbooks have helped students of Class 1 to 12th to embrace and understand Math. It is one of the most important contributions of these textbooks and therefore, the students have started scoring well in their main exams. After covering the NCERT textbooks only it is recommended and suggested by experts to follow other reference textbooks of the choice of the student. Vedantu is the best website available to date just because of the experts present at Vedantu and because of them, Vedantu has all up-to-date information and knowledge sources. At Vedantu, only highly trained and qualified experts take care of all the necessary and relevant information that students need for their rigorous preparation. exams. Vedantu gives free access to  Difference Between Place Value and Face Value to all students who need them. Go to the official Vedantu website and click on the link then receive the questionnaires in PDF format by clicking on  "Download PDF".

6. What are the benefits of Face value and Place value?

The benefits of Face value and Place value are mentioned below:

  • Helps the students in understanding key ideas perfectly with the help of solved questions. 

  • Face value and Place value teach about how the number and the digit function.

  • Face value and Place teach about the purpose of multiplication.

  • By referring to the solutions students will find out how to provide answers during the examination in a stepwise format. This helps them in raking marks in the exams. 

  • The solutions are designed in keeping with the CBSE guidelines and help the students in preparing for the exams accordingly.

  • It enhances logical and Mathematical skills.