Question

Place value and face value are always equal for
A. 0
B. 10
C. any digit
D. 100

Answer 1

Hint: We use the definition of place value of a number and face value of a number and check the place and face values of each of the given numbers in the four options.
* Place value is defined as the value of the digit at the place multiplied by the place where they are situated. Example: 163 is number, then place value of 6 is 6 multiplied by its position i.e. tens, so place value of 6 is 60.
* Face value is defined as the value of the digit in the number itself. Example: 163 is the number, and then the face value of 6 is 6.

Complete step-by-step solution:
Since we know the face value of any digit is always that digit say ‘x’, then the face value will always be a single digit.
Now if we want face value to be equal to the place value we have to consider a number that has only one digit in it i.e. the number having only at its one’s place.
We are given four options i.e. 0, 10, any digit and 100
Since we require a one digit number for it to have a place value equal to its face value and there is no one digit number amongst those options.
If we look at the face value of 0 in any number then it will be 0 multiplied by its position in the number. Since we know a product of 0 with any number is 0 then the face value of 0 will always be equal to 0.
\[\therefore \]Place value and face value are always equal for ‘0’

\[\therefore \]Option A is correct.

Note: Students many times make the mistake of choosing option C as it states any digit but keep in mind that any digit can be at any place in the number. If we were given any digit in one digit number then it would have been the correct option.