## What is Place Value and Face Value?

**Place value and face value** is the value of a digit in the given number. Now we shall clear the terms. We can define the **face**** value and place value** of a digit in the number.

### Definition of Place Value and Face Value

**Face value**: Face value is the digit itself. For example, the face value of digit 2 in the number 6236 is 2 itself.**Place value**: Place value is a product of the face value and value of the place of a digit where it is located. For example, the place value of digit 3 in the number 6530 is 30.**T**he place of a digit in a number is decided by its position.

## What is the Difference between Place Value and Face Value of a Digit?

**The difference between place value and face value** of a digit in the number is very easy to understand. There are so many numbers we use in our daily life. Some are having a single digit, and some are having more than one digit. They may have ten or more than ten digits, but we use numerals only 0 to 9. Each numeral we use has face value, place, and place value.

## Difference between Place Value and Face Value

We should understand the key differences between place value and face value.

Here is a list of the difference between place value and face value of a digit in the number.

Let’s take a look-

Place Value |
Face Value |

1. Place value describes the place of a digit in a given number. | Face value of a digit in a number is the digit itself. |

2. Place value depends on the place of a digit in the number. | Face value does not depend on the place of a digit. |

3. Place value is a product of the digit and the place of a digit within a number. | Face value of a digit always remains the same at any place in the number |

4. Place value of a digit= face value X numerical value of its place | Face value of a digit= digit itself |

5. The place value of 0 in a given number is always 0. | The face value of 0 is also 0. |

6. Example: Place value of 6 in 7632 is: 6 X 100 = 600 | Example: Face value of 6 in 7632 is: 6 |

### What is the difference between place and value?

The difference between place and value is-

- We call the place of a digit in the number is at units place, tens, hundreds, thousands…etc.
- Value is the actual value of a digit in the number.
- Example: In number 532, the place of 5 is hundreds and the value is 500. So, in number 532, place and value is 5 and 500 respectively.

## Difference between place value and face value with examples

The face value of a digit is that digit itself though it may be at any place. Here is a difference between place value and face value with examples.

- Each digit has a place value ten times that immediately to its right.

Keep in mind that-

- Face value remains the same though it is used at different places.
- The place value changes according to the place of the digit.

Example-1

Using the ten base numerals- 0 to 9, we can show the numbers that we want to.

♦ In number 325, 2 is at place ten.

So, in the number 325-

- face value of 2 is 2
- place value of 2 is 20

Example-2

♦ In the number **235-**

- face value of 3 is 3,
- and as 3 is at ten’s place, the place value is 3 x 10 = 30

Example-3

♦ In the number **22434-**

- face value of all 4 are the same, that is 4
- the place value of 4 at the unit’s place is 4, and the hundred’s place is 400.

Example-4

♦ Now we shall see what the place value of 9 is in the number 49378.

We get the place value by multiplying face value and place of a digit.

- The face value of 9 is 9.
- In the number 49378, 9 is at the place thousand.
- So the multiplication of face value of 9, and as 9 is at thousand’s place, it will be 1000 so we get 9 x 1000 = 9000

**We get the place value of 9 = 9000**

## Examples of Place Value and Face Value of a Digit

Here are more examples of the difference between place value and face value of a digit in a number.

Have a look-

Sr. No. | Digit | Number | Face value | Place value |

1. | 2 | 6236 | 2 | 200 |

2. | 2 | 45321 | 2 | 20 |

3. | 3 | 236 | 3 | 30 |

4. | 3 | 1234 | 3 | 30 |

5. | 3 | 1375 | 3 | 300 |

6. | 3 | 3052 | 3 | 3000 |

7. | 3 | 3945 | 3 | 3000 |

8. | 3 | 6530 | 3 | 30 |

9. | 3 | 123456 | 3 | 3000 |

10. | 3 | 527435 | 3 | 30 |

11. | 3 | 3784105 | 3 | 3000000 |

12. | 4 | 2416 | 4 | 400 |

13. | 4 | 3412 | 4 | 400 |

14. | 4 | 3498 | 4 | 400 |

15. | 4 | 4657 | 4 | 4000 |

16. | 5 | 3052 | 5 | 50 |

17. | 5 | 3945 | 5 | 5 |

18. | 5 | 5432 | 5 | 5000 |

19. | 5 | 5495 | 5 | 5000 |

20. | 5 | 54340 | 5 | 50000 |

21. | 5 | 125136 | 5 | 5000 |

22. | 5 | 715432 | 5 | 5000 |

23. | 5 | 78653421 | 5 | 50000 |

24. | 5 | 78654321 | 5 | 50000 |

25. | 6 | 461 | 6 | 60 |

26. | 6 | 526 | 6 | 6 |

27. | 6 | 4267 | 6 | 60 |

28. | 6 | 7632 | 6 | 600 |

29. | 6 | 56391 | 6 | 6000 |

30. | 6 | 3526521 | 6 | 6000 |

31. | 7 | 397 | 7 | 7 |

32. | 7 | 527 | 7 | 7 |

33. | 7 | 4732 | 7 | 700 |

34. | 7 | 589573212 | 7 | 70000 |

35. | 8 | 98761 | 8 | 8000 |

36. | 8 | 658742 | 8 | 8000 |

37. | 8 | 3846197 | 8 | 800000 |

38. | 8 | 6523689 | 8 | 80 |

39. | 9 | 56391 | 9 | 90 |

Now I think you got what the **difference between place value and face value **is.

### How to find the difference between place value and face value of a digit in the number?

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