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Suppose multiplication over rationals was defined as follows: "For any two rationals a//b and c//d where a, b, c, d 0 € Z, the product is given by a//bx c//d = ad//bc 22 Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.

Suppose multiplication over rationals was defined as follows: "For any two rationals a//b and c//d where a, b, c, d 0 € Z, the product is given by a//bx c//d = ad//bc 22 Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T: (a) Use synthetic division to find the quotient and remainder when x44x2+2x+5 divided by x — 2. (b)...
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Suppose multiplication over rationals was defined as follows:


“ For any two rationals a//b and c//d where a, b, c, d not equal to 0 ∈ Z, the product is given by a//b × c//d = ad//bc ”


Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.

Suppose multiplication over rationals was defined as follows: " For any two rationals a//b and c//d where a, b, c, d # 0 E Z, the product is given by a//b x c//d = ad//bc Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.
Transcribed Image Text:Suppose multiplication over rationals was defined as follows: " For any two rationals a//b and c//d where a, b, c, d # 0 E Z, the product is given by a//b x c//d = ad//bc Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation.
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