Problem

Select any two-digit number, such as 62. Multiply it by 9: 62 × 9 = 558. Then add the digi...

Select any two-digit number, such as 62. Multiply it by 9: 62 × 9 = 558. Then add the digits: 5 + 5 + 8 = 18. Keep adding the digits in the answer until you get a single answer. In this case, the answer is 1 + 8 = 9. Try several other numbers. Using inductive reasoning, what can you conjecture about any whole number multiplied by 9?

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