Question

In the number $m*n*p$, 2 digits have been shown by star marks, and three others have been as $m,n,p$. What is the difference between the place values of $m\& n$?
(A) $1000m - 100n$
(B) $100m - 10n$
(C) $10000m - 100n$
(D) None of these

Answer 1

Hint: First use the place value chart of the given digit, and take out the place values of the required digit and then find the difference between them to get the desired result.

Complete answer:
We have given a number $m*n*p$, in which two digits have been shown by star marks and three others have been taken as $m,n$ and $p$.
The goal of the problem is to find the difference between the place value of $m$ and $n$.
Place value can be defined as the value of the digit in a particular number that represents the position of the digit in that particular number.
First, create a place value chart of the number $m*n*p$.

Place value of $m = 10,000m$;
Place value of $* = 1000*$;
Place value of $n = 100n$;
Place value of $* = 10*$;
Place value of $p = p$.
The problem is asking for the place value of $m$ and $n$. So, the place values of $m$ and $n$ are given as:
Place value of $m = 10,000m$ and Place value of $n = 100n$.
Now, find the difference between the place value of $m$ and $n$.
Difference$ = \left( {{\text{Place value of m}}} \right) - \left( {{\text{Place value of n}}} \right)$
Substitute the values of the place value of $m$ and place value of $n$.
Difference$ = \left( {{\text{10,000m}}} \right) - \left( {{\text{100n}}} \right)$
Therefore, the difference between the place value of $m$ and place value of $n$is:
$\left( {{\text{10,000m}}} \right) - \left( {{\text{100n}}} \right)$

Therefore, the option $\left( C \right)$ is correct.

Note: Each digit in a number has its own position and each digit of the number has a value that depends upon its place, which is called as the place value of that digit. The face value of the digit is given as the product of its face value and value of the place. That is,
Place value of the digit $ = $ (Face value of the digit)$ \times $ (Value of the place)