Place Value of a Number deals majorly with the position of the digit i.e. where does it live in the number. Whereas face value deals with the actual digit and how much is the digit worth. Face Value remains the same irrespective of the place it is present in the number. Check out the Definition of Place Value and Face Value, Key Differences that Separate Place Value and Face Value, Writing the Expanded Form of a Given Number, etc.
Definition of Place Value and Face Value
Place Value: Place Value defines the value of a digit depending on the position in a number. It changes according to the digit’s place. For Example: In 3456 place value of 5 is 5*10 i.e. 50
Face Value: Face Value of a Number is the Actual Value of a Digit in a Number. It is definite and cannot be changed. For Example: In 456 the face value of 6 is 6 the digit itself.
How to find the Place Value?
Follow the simple steps listed below to determine the Place Value of a Number. They are along the lines
- Note down the digit for which you want to determine the place value.
- Count the number of digits next to the digit you want to find the place value.
- Place as many zeros as the number of the digits after the number you want to calculate the place value and that is the actual place value of the number.
You can better understand this by considering an example.
Find the place value of 8 in 5536891?
Solution:
- Firstly find the number you want to determine the place value. i.e. 8
- Count the number of digits after 8.
- As there are 2 digits place 2 zeros after 8 to obtain the place value.
- By doing so, we will get 800.
Therefore, the place value of 8 in the 5536891 is 800.
Read More Articles:
| Math Place Value | Problems Related to Place Value | Face Value and Place Value |
| Finding and Writing the Place Value | Place Value Chart | Decimal Place Value Chart |
Difference Between Place Value and Face Value
One can find the key differences that separate the Place Value and Face Value in the below sections. In the case of place value, the number system starts from 0 to tens, hundreds, thousands, and so on. Refer to the following table to know about the major differences between place value and face value.
|
Place value |
Face value |
|---|---|
| Place Value denotes the position of a digit in the given number. | Face Value represents the value of the digit itself. |
| The Value of Each digit in the number depends on its position. | The value of the digit is independent of the position or place of the digit in a number. |
| Place Value of digit can be obtained using the formula Place Value = (Face value) × (Numerical Value of Place) | Face Value of the digit = Numerical Value of the Digit Itself. |
| Place Value of 0 is always 0 no matter it is present in any position of a number. | Face Value of 0 is also 0. |
| Example: The place value of digit 3 in 7,831 = 3 × 10 = 30. | Example: The face value of digit 3 in 7831 is 3 |
Place Value and Face Value of Digits Examples
Go through the below provided examples on determining the face and place value to understand the concept better. We have provided the expanded form of a given number, how to express them in words, as well as place value, face value for the respective number.
| Number | Expanded Form | in Words | Place Value | Face Value |
|---|---|---|---|---|
| 12 | 10+2 | Twelve | 10 | 1 |
| 35 | 30+5 | Thirty Five | 30 | 3 |
| 74 | 70+4 | Seventy Four | 70 | 7 |
| 46 | 40+6 | Forty Six | 40 | 4 |
| 68 | 60+8 | Sixty Eight | 60 | 6 |
| 83 | 80+3 | Eighty Three | 80 | 8 |
| 29 | 20+9 | Twenty Nine | 20 | 2 |
| 58 | 50+8 | Fifty Eight | 50 | 5 |
| 123 | 100+20+3 | One Hundred Twenty Three | 20 | 2 |
| 134 | 100+30+4 | One Hundred Thirty Four | 30 | 3 |
| 175 | 100+70+5 | One Hundred Seventy Five | 70 | 7 |
| 164 | 100+60+4 | One Hundred Sixty Four | 60 | 6 |
| 193 | 100+90+3 | One Hundred Ninty Three | 90 | 9 |
| 278 | 200+70+8 | Two Hundred Seventy Eight | 200 | 2 |
| 281 | 200+80+1 | Two Hundred Eighty One | 80 | 8 |
| 387 | 300+80+7 | Three Hundred Eighty Seven | 300 | 3 |
| 394 | 300+90+4 | Three Hundred Ninty Four | 90 | 9 |
| 423 | 400+20+3 | Four Hundred Twenty Three | 400 | 4 |
| 569 | 500+6+9 | Five Hundred Sixty Nine | 60 | 6 |
| 673 | 600+70+3 | Six Hundred Seventy Three | 600 | 6 |
| 749 | 700+40+9 | Seven Hundred Forty Nine | 40 | 4 |
| 836 | 800+30+6 | Eight Hundred Thirty Six | 800 | 8 |
| 932 | 900+30+2 | Nine Hundred Thirty Two | 30 | 3 |
| 1234 | 1000+200+30+4 | One Thousand Two Hundred Thirty Four | 200 | 2 |
| 1576 | 1000+500+70+6 | One Thousand Five Hundred Seventy Six | 1000 | 1 |
| 2345 | 2000+300+40+5 | Two Thousand Three Hundred Forty Five | 40 | 4 |
| 4567 | 4000+500+60+7 | Four Thousand Five Hundred Sixty Seven | 500 | 5 |
| 5678 | 5000+600+70+8 | Five Thousand Six Hundred Seventy Eight | 5000 | 5 |
| 6789 | 6000+700+80+9 | Six Thousand Seven Hundred Eighty Nine | 9 | 9 |
| 87654 | 80000+7000+600+50+4 | Eighty Seven Thousand Six Hundred Fifty Four | 7000 | 7 |
| 65434 | 60000+5000+400+30+4 | Sixty Five Thousand Four Hundred Thirty Four | 60000 | 6 |
| 76543 | 70000+6000+500+40+3 | Seventy Six Thousand Five Hundred Forty Three | 40 | 4 |
| 65432 | 60000+5000+400+30+2 | Sixty Five Thousand Four Hundred Thirty Two | 5000 | 5 |
| 543256 | 500000+40000+3000+200+50+6 | Five Lakh Forty Thousand Three Thousand Two Hundred Fifty-Six | 3000 | 3 |
| 765434 | 700000+60000+5000+400+30+4 | Seven Lakh Sixty Thousand Five Thousand Four Hundred Thirty-Four | 400 | 4 |
| 765813 | 700000+60000+5000+800+10+3 | Seven Lakh Sixty Thousand Five Thousand Eight Hundred Thirteen | 60000 | 6 |
| 345656 | 300000+40000+5000+600+50+6 | Three Lakh Forty-Five Thousand Six Hundred Fifty Six | 5000 | 5 |
| 776543 | 700000+70000+6000+500+40+3 | Seven Lakh Seventy Thousand Six Thousand Five Hundred Forty Three | 70000 | 7 |
| 345643 | 300000+40000+5000+600+40+3 | Three Lakh Forty Five Thousand Six Hundred Forty Three | 40 | 4 |
| 5678987 | 5000000+600000+70000+8000+900+80+7 | Fifty Six Lakh Seventy Eighty Thousand Nine Hundred Eighty Seven | 8000 | 8 |
| 6543566 | 6000000+500000+30000+2000+500+60+6 | Sixty Five Lakh Forty Three Thousand Five Hundred Sixty-Six | 3000 | 3 |
| 1356 | 1000+300+50+6 | One Thousand Three Hundred Fifty Six | 50 | 5 |
| 12567 | 10000+2000+500+60+7 | Twelve Thousand Five Hundred Sixty Seven | 2000 | 2 |
| 45362 | 40000+5000+300+60+2 | Forty Five Thousand Three Hundred Sixty Two | 60 | 6 |
| 92725 | 90000+2000+700+20+5 | Ninty Two Thousand Seven Hundred Twenty Five | 700 | 7 |
| 658493 | 600000+50000+8000+400+90+3 | Six Lakh Fifty Eight Thousand Four Hundred Ninty Three | 8000 | 8 |
| 884635 | 800000+80000+4000+600+30+5 | Eight Lakh Eighty Four Thousand Six Hundred Thirty Five | 80000 | 8 |
| 749352 | 700000+40000+9000+300+50+2 | Seven Lakh Forty Nine Thousand Three Hundred Fifty Two | 9000 | 9 |
| 926455 | 900000+20000+6000+400+50+5 | Nine Lakh Twenty Six Thousand Four Hundred Fifty Five | 50 | 5 |
FAQs on Place Value and Face Value
1. What is Place Value?
Place Value is defined as the value represented by the digit in a number depending on the position in the number.
2. What is Face Value?
Face Value is defined as the digit itself within a number.
3. What is the face value of 4 in 94206?
Face Value of 4 in 94206 is 4.
4. When will Place Value and Face Value be the same?
Place Value and Face Value will be the same if both are at one’s digit place.