Question

The difference between the place value and the face value of 5 in the numerical 78653421 is
A. 53416
B. 4995
C. 49995
D. none of these

Answer 1

Hint: The face value of a number is the value of the number itself. The place value of the number determines the value of each digit of the number. In the given question, the place value of 5 in the number is 50000 and the face value is 5 The difference between the place value and the face value will give us the required result.

Complete step by step answer:
The place value of the number tells us about the value of each digit of the number. The place value of the digit depends on the position of the digit in a number.
The given number is 78653421.
The position of digit 1 is ones and the place value is $1\times 1=1$
The position of digit 2 is tens and the place value is $2\times 10=20$
The position of digit 4 is hundreds and the place value is $4\times 100=400$
The position of digit 3 is thousands and the place value is $3\times 1000=3000$
The position of digit 5 is ten thousand and the place value is $5\times 10000=50000$
The position of digit 6 is hundred thousand and the place value is $6\times 100000=600000$
The position of digit 8 is millions and the place value is $8\times 1000000=8000000$
The position of digit 7 is ten million and the place value is $7\times 10000000=70000000$
The place value of digit 5 is 50000.
The face value of the digit is the value of the digit itself.
The face values of digits 7,8,6,5,3,4,2,1 are 7,8,6,5,3,4,2,1, respectively.
The face value of the digit 5 is 5.
In the given question,
We are supposed to find out the difference between the place value and the face value of digit 5.
Place value of digit 5 = 50000
Face value of digit 5 = 5
Difference = Place value of digit 5 - Face value of digit 5
                    = 50000 – 5
                    = 49995.

So, the correct answer is “Option C”.

Note: The position of the digit in a number should be closely monitored to find its place value. For any digit, the face value is the digit itself. We should always write the place value of the number from right to left.