Pick any number and multiply the number by 10. Add 5 to the product. Divide the sum by 5. Subtract 1 from the quotient.
a) What is the relationship between the number you started with and the final number?
b) Arbitrarily select some different numbers and repeat the process. Record the original number and the results.
c) Make a conjecture about the original number and the final number.
d) Prove, using deductive reasoning, the conjecture you made in part (c).
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