Leonhard Euler approached negative numbers by describing how they "ought to" behave arithmetically in relation to the known and accepted behavior of positive numbers.Justify Euler's claim that -a times -b should be the opposite of a times -b. What does "opposite" mean in this context?How does previous part imply that the product of two negative numbers must be positive?How should a times -b be related to -a times b? Why?

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Answered: Leonhard Euler approached negative…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 77E

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Leonhard Euler approached negative numbers by describing how they "ought to" behave arithmetically in relation to the known and accepted behavior of positive numbers.

- Justify Euler's claim that -a times -b should be the opposite of a times -b. What does "opposite" mean in this context?
- How does previous part imply that the product of two negative numbers must be positive?
- How should a times -b be related to -a times b? Why?

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