Math Problem Statement
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
Solution
Let's solve the problem step by step.
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The given 4-digit number is 6561.
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To find the highest value, we rearrange the digits in descending order:
- Rearranging the digits of 6561 in descending order gives 6651.
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To find the lowest value, we rearrange the digits in ascending order:
- Rearranging the digits of 6561 in ascending order gives 1566.
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Now, subtract the lowest value from the highest value:
So, the result is 5085.
Would you like more details or have any further questions?
Here are 5 related questions to explore:
- What if you used another 4-digit number, like 4321, and followed the same process?
- How would this process work for a 5-digit number?
- Can you form a general rule for finding the result for any 4-digit number?
- What happens if all the digits of the number are the same (e.g., 5555)?
- 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.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Rearranging Digits
Subtraction
Formulas
Highest number = digits in descending order
Lowest number = digits in ascending order
Difference = Highest number - Lowest number
Theorems
Kaprekar Routine (related to repeated digit operations)
Suitable Grade Level
Grades 4-6
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