The activity shown involves an interesting mathematical exploration involving digits and reverse operations. Let's break it down step by step:

Instructions:

1. Choose three digits.

   • Example: $643$

2. Arrange them in order, biggest first.

   • Rearrange to: $643$

3. Reverse the digits.

   • Reverse of $643$: $346$

4. Find the difference between the two numbers.

   • $643 - 346 = 297$

5. Reverse the answer.

   • Reverse of $297$: $792$

6. Add the two numbers.

   • $297 + 792 = 1089$

7. Repeat this process several times. What do you notice?

   • You will always get $1089$ after repeating this with any three digits (except cases where digits are identical, e.g., $111$).

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For Four Digits:

1. Start with four digits.

   • Example: $4321$

2. Follow the same process.

   • $4321 - 1234 = 3087$
   • Reverse $3087$: $7803$
   • Add: $3087 + 7803 = 10890$

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With Two Digits:

1. Choose two digits, biggest first.

   • Example: $52$

2. Follow the steps.

   • Reverse $52$: $25$
   • $52 - 25 = 27$
   • Reverse $27$: $72$
   • $27 + 72 = 99$
   • This result stabilizes to $99$.

Would you like help verifying or trying more examples? 😊

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5 Related Questions:

1. What happens when all digits in your chosen number are the same?
2. Can you explain why $1089$ always appears in the three-digit case?
3. Does this pattern apply to numbers with more than four digits?
4. What if negative numbers are used instead of positive ones?
5. How can you generalize this to mathematical properties of digit manipulation?

Tip: Reversing digits and exploring differences often leads to "stable" results due to the symmetry of numbers!