Question: Select any two-digit number. Multiply it by 9. Then add the digits. Keep adding the digits in the answer until you get a single-digit answer.

Select any two-digit number. Multiply it by 9. Then add the digits. Keep adding the digits in the answer until you get a single-digit answer.

a. Using inductive reasoning, what can you conjecture about any whole number multiplied by 9?

b. Use deductive reasoning to prove that your conjecture is true.

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