Write down a three-digit number. Write the number in reverse order. Subtract the smaller of the two

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Write down a three-digit number. Write the number in reverse order. Subtract the smaller of the two numbers from the larger to obtain a new number. Write down the new number. Reverse the digits again, but add the numbers this time. Complete this process for another three-digit number. Do you notice a pattern, and does your pattern work for all three-digit numbers?

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