# Place Value and Face Value

## 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.
• The 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.