Home > High School: Number and Quantity > Complex Number Products (Greatest Value)

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.

Hint

Hint

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

Answer

Answer

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

Print Friendly, PDF & Email

Check Also

Adding Vectors

Directions: Using any number between 1 and 9, fill in the boxes to create a …

3 comments

  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.

Leave a Reply

Your email address will not be published. Required fields are marked *