Place Value and Face Value

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Madhuri Kherde

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.

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

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