1. Why should the product of a positive and a negative number be negative? Explain why this should be true, in your own words.
2. Why should the product of a negative number and another negative number be positive? Explain why this should be true, in your own words.
3. Subtraction is defined in terms of addition as: a - b = a + (-b) [that is, ╥a╙ plus the OPPOSITE of b]. How could you write a definition of a ╓ b, in terms of multiplication? What do you have to use in your definition in place of the ╥opposite╙ of b which was used in the definition of subtraction?