What is face value and place value in maths with examples?

Number System - Face Value and Place Value

Hello Aspirants!

Today at Loud Study we will deal with an important topic of aptitude section i.e. " Number System - Face Value and Place Value of a Digit ".

As number system is an important topic in the aptitude section of any competitive exams either it be SSC, IBPS, RBI, RRB, Banking, or other government sector exams.

Almost in every competitive exam, at least one question is asked based on " Face value and Place value of a digit in the number system "

Now Let's start the session :

Face Value and Place Value of a Digit 

Face Value: It is the value of the digit itself. For example: In 452, the face value of 5 is five

Let me explain to you with some more examples to make it clear for you.

• In 4523, the Face Value of 3 is three

• In 4523, Face Value of 2 is two

• In 4523, the Face Value of 5 is five

• In 4523, the Face Value of 4 is four

Place Value: It is the value of the digit with reference to its position in the number. For example: In 452, the place value of 5 is 50

Mainly, Place Value of Digit = Face Value of Digit  x Position of Digit in Number


Let me explain to you some more examples to make it clear for you.

• In 4523, the Place Value of 3 is 3 as the face value of 3 is 3 and it is at one's position in number thus 3 x 1 = 3

• In 4523, the Place Value of 2 is 20 as the face value of 2 is 2 and it is at tens position in number thus 2 x 10 = 20

• In 4523, the Place Value of 5 is 500 as the face value of 5 is 5 and it is at hundreds of positions in number thus 5 x 100 = 500

• In 4523, the Place Value of 4 is 4000 as the face value of 4 is 4 and it is at thousands of position in number thus 4 x 1000 = 4000

Types of Questions Asked in Competitive Exams on Face Value and Place Value of a Digit

Type 1: Find the difference between the place value and face value of a digit in a number

Demo Question: Find the difference between the place value and face value of digit 6 in numeral 2960543. 

Solution : 

Place value of digit 6 in 2960543 = 60000 

Face value of digit 6 in 2960543 = 6 

Their difference = 60000 - 6 = 59994 

Type 2: Find the difference between local value and face value of a digit in a number

Note: Place Value of a digit is also known as the Local Value of a digit and thus, to confuse the students, the examiner asked the question in this way.

Demo Question: The difference between the local value and the face value of 7 in the numeral 32675149

Solution : 

Local Value of digit 7 in 32675149 = Place value of digit 7 in 32675149 = 70000 

Face value of digit 7 in 32675149 = 7

Their difference = 70000 - 7 = 69993

Type 3: Find the difference between the place value of two same digits in a number

Demo Question: The difference between the place values of two sevens in the numeral 69758472 

Solution : 

Place value of digit 7 in 69758472 =700000

Place value of digit 7 in 69758472 = 70 

Their difference = 700000 - 70 = 699930 

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