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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. Using inductive reasoning, what can you conjecture about any whole number multiplied by 9? Use deductive reasoning to prove that your conjecture is true.

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. Using inductive reasoning, what can you conjecture about any whole number multiplied by 9? Use deductive reasoning to prove that your conjecture is true.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. Using inductive reasoning, what can you conjecture
about any whole number multiplied by 9? Use deductive reasoning to prove that your conjecture is true.

2. 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. Using inductive reasoning, what can you conjecture about any whole number multiplied by 9? Use deductive reasoning to prove that your conjecture is true.
Transcribed Image Text:2. 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. Using inductive reasoning, what can you conjecture about any whole number multiplied by 9? Use deductive reasoning to prove that your conjecture is true.
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