Digit-rearrangement difference: Arrange the digits of 92581473 in ascending order to form a new number. What is the difference between the digit that is fourth from the right and the digit that is third from the left in this new arrangement?

Introduction / Context:Ordering digits and picking positional values is a staple reasoning task. Here, you form a strictly ascending sequence, then index from different ends and compute a numeric difference.

Given Data / Assumptions:

• Original digits: 9, 2, 5, 8, 1, 4, 7, 3.
• New arrangement: ascending order.
• Positions requested: 4th from right, 3rd from left.

Concept / Approach:Ascending order for the digits yields a unique sequence. Convert “k-th from right” to an index from the left if helpful (for an 8-digit number, 4th from right = 5th from left).

Step-by-Step Solution:

Verification / Alternative check:Visual scan from the right: rightmost digits are 9(1st), 8(2nd), 7(3rd), 5(4th) ⇒ still 5. Third from left remains 3.

Why Other Options Are Wrong:

• One/Three/Four/Zero: Not equal to 2; arise from index miscounts.

Common Pitfalls:Forgetting that “from right” reverses the direction; mis-sorting (placing 7 before 5), or missing that there are eight digits.

Final Answer:Two