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If P is a 3-digit number and Q is the nu...

If P is a 3-digit number and Q is the number formed by reversing the digits of P, then find the difference between the place value of the digits in the tenth place.

A

1

B

9

C

0

D

Cannot say

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the difference between the place values of the digits in the tenth place of a three-digit number \( P \) and its reverse \( Q \). ### Step-by-step Solution: 1. **Define the 3-digit number \( P \)**: Let \( P \) be represented as \( XYZ \), where \( X \), \( Y \), and \( Z \) are the digits of the number. Here, \( X \) is the hundreds place, \( Y \) is the tens place, and \( Z \) is the units place. 2. **Identify the reverse of \( P \)**: The number \( Q \), formed by reversing the digits of \( P \), will be \( ZYX \). In this case, \( Z \) is now in the hundreds place, \( Y \) is still in the tens place, and \( X \) is in the units place. 3. **Determine the place value of the tens digit in \( P \)**: The place value of the digit in the tens place of \( P \) (which is \( Y \)) is calculated as: \[ \text{Place value of } Y = 10 \times Y \] 4. **Determine the place value of the tens digit in \( Q \)**: The place value of the digit in the tens place of \( Q \) (which is also \( Y \)) is: \[ \text{Place value of } Y \text{ in } Q = 10 \times Y \] 5. **Calculate the difference between the place values**: Now, we find the difference between the place values of the tens digit in \( P \) and \( Q \): \[ \text{Difference} = (10 \times Y) - (10 \times Y) = 0 \] 6. **Conclusion**: The difference between the place values of the digits in the tens place of \( P \) and \( Q \) is \( 0 \). ### Final Answer: The difference is \( 0 \). ---

To solve the problem, we need to find the difference between the place values of the digits in the tenth place of a three-digit number \( P \) and its reverse \( Q \). ### Step-by-step Solution: 1. **Define the 3-digit number \( P \)**: Let \( P \) be represented as \( XYZ \), where \( X \), \( Y \), and \( Z \) are the digits of the number. Here, \( X \) is the hundreds place, \( Y \) is the tens place, and \( Z \) is the units place. 2. **Identify the reverse of \( P \)**: ...
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Knowledge Check

  • A is a 3 digit number and B is the number formed by reversing the digit of A. The face value of the digit in the tens place of A-B is____. (B lt A)

    A
    9
    B
    1
    C
    0
    D
    2
  • Seven times a two -digit number is equal to four times the number obtained by reversing the order of its digits. If the difference between the digits is 3, find the number.

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    30
    B
    32
    C
    34
    D
    36
  • The place value of the digit 3 in the number 2356 is____.

    A
    `30`
    B
    `3`
    C
    `300`
    D
    `3000`
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