The Complex Number System

Powers of “i”

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equation true. Source: Jason Curley

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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

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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

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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

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Multiplying Complex Numbers 2

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

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Multiplying Complex Numbers 1

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box: 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

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Complex Number Products

Directions: Using 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

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