Question

Place value and face values are always equal at which place?
(a) Hundreds
(b) Ones
(c) Thousands
(d) Tens

Answer 1

Hint: Face value of a digit of a number is the exact value of the number itself. And place value of a digit of a number is the product of the digit and the position (Place value) value of that digit i.e. ones (1), tens (10), hundreds (100), thousands (1000), ten thousands (10000) etc. So, relate the answer with an example using the given definitions of face value of place value of digits.

Complete step-by-step solution -
Face value of a number: Face value of a digit is the value of the digits itself, in a number whether the number is single digit, double or three etc. each digit has its face value and that is itself. Let us understand with the help of an example
Example: 2485

Hence the face value of digits of 2485 are 2, 4, 8. 5
Place value of a number: Place value of digit in a number describes the position of that digit as each digit has a place out of ones, tens, hundred, thousands etc. The positions start from a unit place. Place value of any digit will be given by multiplication of that digit to the corresponding position of that digit. For understanding it better here is an example:
Let number be 2485.As the position of the digits can be given as
$\begin{array}{*{35}{l}}
   5 & \to & \text{ones place = 1} \\
   8 & \to & \text{tens place = 10} \\
   4 & \to & \text{hundred place = 100} \\
   2 & \to & \text{thousand place = 1000} \\
\end{array}$
So, Place value of digit is given as by multiplying 1,10,100,1000 to the corresponding digits at these places.
Hence, we get

Hence Place values of the digits are given as 2000,400,80, 5 for 2485
Now, we can observe from the definition of place value and face value of a number, unit place of any number has same face and place value as the place value of unit digit number will be calculated by multiplying it by 1 only and hence get the same digit and that also represents the face value of that digit. Hence, option (b) ones/unit place is the correct answer

Note: One may get confused with the terminology face value and place value. So just try to relate the definition by using the words ‘Face’ and ‘Place’ as face value represents the exact value of digit and place is the position of digit. So, be clear with the definitions.
One may go wrong if he/she counts the place value of any number from the beginning of the number and which will give the wrong solution as well. So, be clear with the concept of place value that counting of place value of any digit starts from the end digits of the number. Be careful with the terminology with these kinds of questions.