 # The Complex Number System

## The Modulus Of A Complex Number

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to find an odd modulus, an even modulus, and the smallest possible modulus. Source: Mark Ward

## Simplifying Complex Roots

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to to create a true statement. Source: Paige Sheehan

## Imaginary Solutions to a Quadratic Equation

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a quadratic equation with an imaginary solution of the form ±𝒃𝒊 where 𝒃 is a whole number. Source: Bradley Springer

## Multiplying Complex Numbers 2

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes to make a real number product with the greatest possible value. Source: Robert Kaplinsky in Open Middle Math

## Multiplying Complex Numbers 1

Directions: Using the integers -9 to 9 at most one time each, fill in the boxes twice: once to make a positive real number product and once to make a negative real number product. You may reuse all the integers for each product. Source: Robert Kaplinsky in Open Middle Math

## Polar and Cartesian form of complex numbers

Directions: Use the digits 1- 9, at most one time each, to fill in the boxes so that the result is as close as possible to the number i. Source: David K Butler

## 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. Source: Robert Kaplinsky

## Complex Number Products

Directions: Use the integers -9 to 9 at most one time each, place an integer in each box to make a positive real number product and then repeat the process to make a negative real number product. You may use all the integers each time. Source: Robert Kaplinsky