Find the Difference between Place Value and Face Value

In the previous chapter, we discussed the difference between place value and face value.

In this chapter, we shall discuss how to find the difference between place value and face value of a digit in the number.

How to Find the Difference between Place Value and Face Value?

  • The difference between place value and face value is the subtraction of face value from place value. That is,
  • Difference = place value ‒ face value

Here are some examples with step-by-step explanation.

Let’s take a look-

Example-1

Find the difference between face value and place value of 4 in 3412.

Answer:

The given number- 3412

To find- the difference between face value and place value of 4

In the number- 3412;

  • Face value: The face value of 4 in 3412 is 4.
  • Place value: The digit 4 in the number 3412 is in the hundreds place. So, the place value of 4 in 3412 is 400.

Solution:

    Face value of 4 in 3412 = 4

    Place value of 4 in 3412 = 400

∴ Required difference = Place value ‒ face value

   = 400 ‒ 4

   = 396

Difference between face value and place value of 4 in 3412 is 396

Example- 2

The difference between the face value and place value of 4 in 2416

Answer:

The given number- 2416

To find- the difference between face value and place value of 4

  • Face value- The face value of 4 in 2416 is 4.
  • Place value-The digit 4 in the number 2416 is in the hundreds place. So, the place value of 4 in 2416 is 400.

Solution:

    Face value of 4 in 2416 = 4

    Place value of 4 in 2416 = 400

∴ Required difference = Place value ‒ face value

= 400 ‒ 4

= 396

∴ the difference between face value and place value of 4 in 2416 is 396

Example3-

Find the difference between the place value and the face value of 5 in 5495.

Answer:

The given number- 5495

To find- the difference between face value and place value of underlined 5

  • Face value- The face value of 5 in 5495 is 5.
  • Place value-The digit 5 in the number 5495 is in the ones place. So, the place value of 5 in 5495 is 5.

Solution:

   Face value of 5 in 5495 = 5

   Place value of 5 in 5495 = 5

∴ Required difference = Place value ‒ face value

= 5 ‒ 5

= 0

∴ the difference between face value and place value of 5 in 5495 is 0

Example-4

Find the difference between the place value and the face value of 5 in 5495.

Answer:

The given number- 5495

To find- the difference between face value and place value of underlined 5

  • Face value- The face value of 5 in 5495 is 5.
  • Place value-The digit 5 in the number 5495 is in the thousands place. So, the place value of 5 in 5495 is 5000.

Solution:

    Face value of 5 in 5495 = 5

    Place value of 5 in 5495 = 5000

∴ Required difference = Place value ‒ face value

= 5000 ‒ 5

= 4995

∴ the difference between face value and place value of 5 in 5495 is 4995.

Example-5

The difference between place value and face value of 5 in the number 125136

Answer:

The given number- 125136

To find- the difference between face value and place value of 5

  • Face value- The face value of 5 in 125136 is 5.
  • Place value-The digit 5 in the number 125136 is in the thousands place. So, the place value of 5 in 125136 is 5000.

Solution:

   Face value of 5 in 125136 = 5

   Place value of 5 in 125136 = 5000

∴ Required difference = Place value ‒ face value

  = 5000 ‒ 5

  = 4995

∴ the difference between face value and place value of 5 in 125136 is 4995.

Example-6

What is the difference between place value and face value of 6 in 7632?

Answer:

The given number- 7632

To find- the difference between face value and place value of 6

  • Face value- The face value of 6 in 7632 is 6.
  • Place value-The digit 6 in the number 7632 is in the hundreds place. So, the place value of 6 in 7632 is 600.

Solution:

    Face value of 6 in 7632 = 6

    Place value of 6 in 7632 = 600

∴ Required difference = Place value ‒ face value

= 600 ‒ 6

= 594

∴ the difference between face value and place value of 6 in 7632 is 594.

Example-7

Difference between the place value of 6 in the number 56391

Answer:

The given number- 56391

To find- the difference between face value and place value of 6

  • Face value- The face value of 6 in 56391 is 6.
  • Place value-The digit 6 in the number 56391 is in the thousands place. So, the place value of 6 in 56391 is 6000.

Solution:

    Face value of 6 in 56391 = 6

    Place value of 6 in 56391 = 6000

 Required difference = Place value ‒ face value

= 6000 ‒ 6

= 5994

∴ the difference between face value and place value of 6 in 56391 is 5994.

Example-8

Find the difference between place value and face value of 7 in 589573212.

Answer:

The given number- 589573212

To find- the difference between face value and place value of 7

  • Face value- The face value of 7 in 589573212 is 7.
  • Place value-The digit 7 in the number 589573212 is in the ten thousands place. So, the place value of 7 in 589573212 is 70000.

Solution:

   Face value of 7 in 589573212 = 7

   Place value of 7 in 589573212 = 70000

∴ Required difference = Place value ‒ face value

 = 70000 ‒ 7

= 69993

∴ the difference between face value and place value of 7 in 589573212 is 69993.

Example-9

The difference between the place value and face value of 8 in 658742 

Answer:

The given number- 658742

To find- the difference between face value and place value of 8

  • Face value- The face value of 8 in 658742 is 8.
  • Place value-The digit 8 in the number 658742 is in the thousands place. So, the place value of 8 in 658742 is 8000.

Solution:

   Face value of 8 in 658742 = 8

   Place value of 8 in 658742 = 8000

∴ Required difference = Place value ‒ face value

= 8000 ‒ 8

= 7992

the difference between face value and place value of 8 in 658742 is 7992.

Example-10

Difference between the place value of 9 in the number 56391

Answer:

The given number- 56391

To find- the difference between face value and place value of 9

  • Face value- The face value of 9 in 56391 is 9.
  • Place value-The digit 9 in the number 56391 is in the tens place. So, the place value of 9 in 56391 is 90.

Solution:

   Face value of 9 in 56391 = 9

   Place value of 6 in 56391 = 90

∴ Required difference = Place value ‒ face value

= 90 ‒ 9

= 81

∴ the difference between face value and place value of 9 in 56391 is 81.

For more examples,

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                                                                      Related Links
What is a DigitMultiplication Tables
Face Value of a DigitWhole Numbers
Place Value of a DigitNatural Numbers
Difference between Place Value and Face ValueFormation of Smallest and Largest Number