What is the place value and face value of 5 in 5432?

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.

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Solved Example:
Sample Question Paper
Definition of Face Value and Place Value
Place value
What is the Difference between Place Value and Face Value?
Solved Example

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

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The major difference between place value and face value is that the place value deals with the position of the digit, and the face value represents the actual value of a digit. The number system is available and is essential for characterising the digits into groups of tens, hundreds and even thousands.

Definition of Face Value and Place Value

The definition of face value and place value of a digit can be understood in a better way with the help of an expanded form of a number.

625 = 600 + 20 + 5

= 6 × 100 + 2 × 10 + 5 × 1

Here,

Digit	Place value	Face value
6	600	6
2	20	2
5	5	5

From the above table we can write the answer for the question: what is face value and place value of a digit in the number.

Face value

Face Value: The face value of any number can be represented as the value of the digit itself. For example, the face value of digit 3 in number 394 is 3 itself.

Place value

Place Value: The place value represents the position of a digit in a number. For example, the place value of digit 3 in 394 is hundredth i.e. 3 x 100 = 300th.

What is the Difference between Place Value and Face Value?

One must understand the key differences that separate the place value from the face value. In place value, the number system begins from 0 to tens, hundreds, thousands and so on. To know more about the major differences between place value and face value, check out the tabular column below:

Difference between Place Value and Face Value
Place Value	Face Value
Place value is defined as the digit multiplied wherever it is placed, either by hundreds or thousands.	Face value is simply defined as the digit itself within a number.
Example: Place value of 5 in 350 is: 5*10= 50	Example: Face value of 5 in 350 is: 5
The place value of 0 is 0	The face value of 0 is also 0
Place value of a digit should be multiplied by the digit value of the position where it is located.	Face value of a digit always remains the same, irrespective of the position where it is located.

Also, try out: Place Value Worksheets.

Solved Example

Example: Find the Place value and Face value for every digit 4657.

Face value of 7 is 7

Place value of 7 is 7

Face value of 5 is 5

Place value of 5 is 50

Face value of 6 is 6

Place value of 6 is 600

Face value of 4 is 4

Place value of 4 is 4000

Thus, these are some of the key differences between the face value and place value. It is important to know the distinctions between the two, as they are both used in mathematical expressions to solve and calculate. To know more, subscribe to the BYJU’S app today!

The place value of a digit in a number defines where it is placed or positioned. It could be in unit place or ten’s place or hundred’s place and so on. Example: The place value of 5 in 252 is 5 x 10 = 50, ten’s place.

The face value of a digit in a number defines the value of the number itself. It does not matter what the position of the digit is. For example, the face value of 9 in 911 is 9 only.

The face value of 2 in 93207 is 2.

The place value of 6 in 6391 is 6000

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What is the difference between face value and place value of digits?

Before we proceed to face value and place value let us recall the expanded form of a number.

The expanded form of 534 is 500 + 30 + 4

We read it as five hundred thirty four.

Similarly, 798 = 700 + 90 + 8

We read it as seven hundred ninety eight.

2936 = 2000 + 900 + 30 + 6 = Two thousand nine hundred thirty six

For example similarly, all numbers can be written in expanded form and read accordingly.

(i) 35 = 30 + 5 = Thirty five

(ii) 327 = 300 + 20 + 7 = Three hundred twenty seven

(iii) 942 = 900 + 40 + 2 = Nine hundred forty two

(iv) 1246 = 1000 + 200 + 40 + 6 = One thousand two hundred forty six

(v) 3584 = 3000 + 500 + 80 + 4 = Three thousand five hundred eighty four

(vi) 5167 = 5000 + 100 + 60 + 7 = Five thousand one hundred sixty seven

The digits of a number express the values of their own when the number is given in expanded form and read in words. The value of a digit when expressed in expanded form of the number is called its place value in the number.

For example:

(i) In the number 378;

the place value of 3 is 300 (three hundred)

the place value of 7 is 70 (seventy)

the place value of 8 is 8 (eight)

(ii) In the number 5269;

the place value of 5 is 5000 (five thousand)

the place value of 2 is 200 (two hundred)

the place value of 6 is 60 (sixty)

the place value of 9 is 9 (nine)

Thus, the place value of a digit in a number is the value it holds to be at the place in the number. If 5 is at Thousand-place in a number, its place value will be 5000, if it is at Hundred-place, its value will be 500, etc.

In the number 2137, 2 is at Thousand-place, 1 is at Hundred-place, 3 is at ten’s-place and 7 is at one’s-place. So, the place values of the digits 2, 1, 3 and 7 are 2000, 100, 30 and 7.

Place Value of a Digit = Digit × Position of digit

For example,

(i) Place value of 7 in 3765 is 7 × 100 = 700 or 7 Hundreds.

(ii) Place value of 9 in 9210 is 9 × 1000 = 9000 or 9 Thousands.

(iii) Place value of 4 in 5642 is 4 × 10 = 40 or 4 Tens.

Now, let us find place value of each digit of the numbers given below.

(i) 5672; (ii) 4198

(i) 5672

In the number 5672

The place value of 5 is 5000 (in words five thousand)

The place value of 6 is 600 (in words six hundred)

The place value of 7 is 70 (in words seventy)

The place value of 2 is 2 (in words two)

(ii) 4198

In the number 4198

The place value of 4 is 4000 (in words four thousand)

The place value of 1 is 100 (in words one hundred)

The place value of 9 is 90 (in words ninety)

The place value of 8 is 8 (in words eight)

We know that the face value of a digit is the digit itself, at whatever place it may be. The face value of a digit never changes. It is unchangeable and definite. But place value changes according to the digit’s place.

The face value of digit 9 is 9.

The face value of digit 1 is 1.

The face value of digit 5 is 5.

For example; to find face value and place value of 3572:

face value of 2 is 2 place value of 2 is 2

face value of 7 is 7 place value of 7 is 70

face value of 5 is 5 place value of 5 is 500

face value of 3 is 3 place value of 3 is 3000

The face value as well as place value of zero (0) is always (0).

We used the spike-abacus to show, to read and to write a number properly. Now with our knowledge of the values of the digits we read and write the numbers without the help of an abacus.

This abacus shows the number 423.

According to the abacus,

4 beads are at H-place (hundred-place)

2 beads are at T-place (ten’s place)

3 beads are at one’s place

Hence, the number = 400 + 20 + 3 = 423

Now, having the knowledge of face value and place value of the digit, we ascertain the total value of a number; as:

In 423;

the face value of 4 is 4 and place value of 4 is 400

the face value of 2 is 2 and place value of 2 is 20

the face value of 3 is 3 and place value of 3 is 3

So, 423 = 400 + 20 + 3

It is read as, four hundred, twenty and three or four hundred twenty three.

The face value of a digit is the digit itself. Face value of a digit is unchangeable and definite. But place value changes according to the digit’s place.

For example, face value of 5 in 3547 is 5 and in 8599 is also 5.

Similarly, face value of 7 in 2736 is 7.

Now, let us find the face value and place value of all the digits in number 9283.

Face value 3 is 3 and place value of 3 is 3.

Face value 8 is 8 and place value of 8 is 80.

Face value 2 is 2 and place value of 2 is 200.

Face value 9 is 9 and place value of 9 is 9000

Note: Place value and face value of 0 is always 0.

Questions and Answers on Place Vale and Face Value:

I. Write the place value and face value of each underlined digit:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Number

3807

4915

6003

1273

6835

2084

3910

Place value

__________

Face Value

__________

Answer:

I. (i) 800, 8

(ii) 4000, 4

(iii) 3, 3

(iv) 200, 2

(v) 30, 3

(vi) 2000, 2

(vii) 10, 1

II. Write the face value and place value of the digits given in red. One has been done for you.

	Number	Face Value	Place Value
(i)	697	7	7
(ii)	321	_____	_____
(iii)	816	_____	_____
(iv)	696	_____	_____
(v)	920	_____	_____

Answer:

II. (ii) 3, 300

(iii) 1, 10

(iv) 6, 600

(v) 0, 0

III. Write the missing place value in the blank space:

(i) 5174 = 5000 + 100 + 70 + ………..

(ii) 6797 = 6000 + ……….. + 90 + 7

(iii) 1132 = ……….. + 100 + 30 + 2

(iv) 9679 = ……….. + 600 + 70 + 90

(v) 5864 = 5000 + 800 + 60 + ………..

Answer:

III. (i) 4

(ii) 700

(iii) 1000

(iv) 9000

(v) 4

IV. Write the place value of each colored digit in the following numbers:

(i) 2347

(ii) 6439

(iii) 4685

(iv) 3341

(v) 5519

(vi) 8971

(vii) 8131

(viii) 1112

(ix) 8308

(x) 2101

(xi) 2434

(xii) 6245

Answer:

IV. (i) 300

(ii) 9

(iii) 4000

(iv) 1

(v) 9

(vi) 8000

(vii) 30

(viii) 1000

(ix) 8

(x) 100

(xi) 2000

(xii) 40

V. Write the place and its face value of the digits given in pink. One has been done for you.

	Number	Place	Face Value
(i)	385	Tens	8
(ii)	229	_____	_____
(iii)	626	_____	_____
(iv)	926	_____	_____
(v)	706	_____	_____

Answer:

(ii) Ones, 9

(iii) Hundreds, 6

(iv) Hundreds, 9

(v) Tens, 0

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