Using a 4 digit number, rearrange the 4 digits to give the highest and lowest values. subtract the lowest result from the highest. start with 6561

Let's solve the problem step by step.

1. The given 4-digit number is **6561**.
2. To find the **highest value**, we rearrange the digits in descending order:
   - Rearranging the digits of 6561 in descending order gives **6651**.

3. To find the **lowest value**, we rearrange the digits in ascending order:
   - Rearranging the digits of 6561 in ascending order gives **1566**.

4. Now, subtract the lowest value from the highest value:
   \[
   6651 - 1566 = 5085
   \]

So, the result is **5085**.

Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. What if you used another 4-digit number, like 4321, and followed the same process?
2. How would this process work for a 5-digit number?
3. Can you form a general rule for finding the result for any 4-digit number?
4. What happens if all the digits of the number are the same (e.g., 5555)?
5. How does the Kaprekar process relate to this problem?

**Tip**: When rearranging digits for the highest and lowest values, always sort in descending and ascending order, respectively.

Using a 4 digit number, rearrange the 4 digits to give the highest and lowest values. Subtract the lowest result from the highest. Start with 6561.

Learn how to rearrange the digits of a 4-digit number like 6561 to find the highest and lowest possible values, and subtract the two. In this example, 6651 - 1566 = 5085. Suitable for students in Grades 4-6, this problem introduces key concepts in number theory and digit manipulation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation