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

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

a. Justify Euler's claim that -a times -b should be the opposite of a

times -b. What does "opposite" mean in this context?

b. How does part (a) imply that the product of two negative numbers

must be positive?

c. How should a times -b be related to -a times b? Why?

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