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Complex Number Products (Greatest Value)

Directions: Use the integers -9 to 9, at most one time each, to fill in the boxes and make a real number product with the greatest value.



What has to happen to the imaginary terms to make a complex number a real number?
How can we accomplish that?



The product with the greatest value is (6 + 8i)(3 + -4i) and (-6 + -8i)(-3 + 4i). That has a product of 60.

Source: Robert Kaplinsky

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  1. We got 78 for an answer with (9-6i)(6+4i). Did we do anything wrong?

  2. You can’t repeat values maybe.

  3. I agree 78 is the highest possible product.

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