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Write the Word or Phrase That Best Completes Each Statement a=3\mathrm { a } = 3

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Write the word or phrase that best completes each statement or answers the question.
-Paul notes that if a=3\mathrm { a } = 3 and b=3\mathrm { b } = - 3 , then ab=ba=1\frac { \mathrm { a } } { \mathrm { b } } = \frac { \mathrm { b } } { \mathrm { a } } = - 1 . He concludes that for any real numbers aa and b,ab=bab , \frac { a } { b } = \frac { b } { a } . Do you agree with his reasoning? If not, why not?


Definitions:

Conditional sale contract

A sales agreement that transfers ownership of an item to the buyer only after specific conditions are met, usually full payment of the purchase price.

Compounded monthly

The process of calculating interest on both the initial principal and the accumulated interest from previous periods, done on a monthly basis.

Payment-free period

A specified duration during which a borrower is not required to make any payments on a loan.

Compounded annually

Interest calculation method where interest is added to the principal once a year, affecting the total interest earned or paid.

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