Question

The difference between the place value and face value of 5 in 91, 25,678 is
A. 4995
B. 0
C. 4095
D. 5000

Answer 1

Hint: Calculate place value of 5 by multiplying 5 with ${{10}^{n}}$ where ‘n’ is the position of 5 from left minus one. Face value of a number is the number itself. So, find the difference between the obtained place value of 5 and 5 to get the answer.

Complete step-by-step answer:
Given numbers = 91, 25,678
According to the question, we have to calculate the difference between place value and face value of ‘5’ in this number.
To find the required difference, first we need to find the place value and face value of ‘5’ in this number.
Every digit in a number has a place value. Place value is defined as the value represented by a digit in the number according to its position in the number.
Place value of a digit in a number$=digit\times {{10}^{x-1}}$, where $x$ is the position of the digit from left.
Hence, number\[=91,2\overset{4}{\mathop{5}}\,,\overset{3}{\mathop{6}}\,\overset{2}{\mathop{7}}\,\overset{1}{\mathop{8}}\,\]
Position of ‘5’ from left = 4
So, place value of $5=5\times {{10}^{4-1}}$
$\begin{align}
  & =5\times {{10}^{3}} \\
 & =5000 \\
\end{align}$
Now, we have to find the face value of ‘5’ in this number.
Face value of a digit in a number is the value of the digit itself.
So, face value of ‘5’ in 91, 25, 678 = 5
Now, difference of place value of ‘5’ in 91, 25, 678;
$\begin{align}
  & =\left( place\ value\ of\ '5'\ in\ 91,25,678 \right)-\left( face\ value\ of\ '5'\ in\ 91,25,678 \right) \\
 & =5000-5 \\
 & =4995 \\
\end{align}$
Hence, the required difference between place value and face value of ‘5’ in 91, 25,678 is 4995 and option (c) will be the answer.

Note: To get the difference between place value and face value of a digit in the number, we always subtract face value from the place value.
As, the place value of a number is always greater than or equal to the face value of a digit in any number.