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

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Short Answer

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:

Willing Lenders

Individuals or institutions that are prepared to provide loans or financing to others, expecting to earn interest or receive financial returns.

Earmarks

Narrow, specially designated spending authorizations placed in broad legislation by senators and representatives for the purpose of providing benefits to firms and organizations within their constituencies. Earmarked projects are exempt from competitive bidding and normal evaluation procedures.

Authorized Expenditures

Expenditures that are officially approved or sanctioned by an authoritative body or individual, often within an organizational or governmental context.

Narrow Specifically

Focusing or specializing in a very specific or narrow area or topic.

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