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;
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
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
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
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
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
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
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
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
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
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,