Rearrange 5, 1, 0, 2 to Create a Number Divisible by 10

To solve this problem, we should organize the given digits to make a number that is divisible by 10. According to the rule of divisibility by 10, a number must end in 0.

Let's follow these steps:

• Step 1: Ensure the number ends in 0 by placing 0 at the unit's place.
• Step 2: Arrange the remaining digits (5, 1, and 2) to form the largest possible number.
• Step 3: Arrange 5, 1, and 2 in descending order, resulting in 521.
• Step 4: Combine the arranged digits with 0 at the end: This gives 5210.

The number 5210 ends with 0, making it divisible by 10.

Therefore, the solution to the problem is $5120$.