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IM Alg2.3.11 Lesson: Introducing the Number i

Find the value of each expression mentally.

Find the solutions to these equations, then plot the solutions to each equation on the imaginary or real number line.

Write these imaginary numbers using the number .

Label at least 8 different imaginary numbers on the imaginary number line.

When we add a real number and an imaginary number, we get a complex number. The diagram shows where  is in the complex number plane. What complex number is represented by point ?

Plot these complex numbers in the complex number plane and label them.

Diego says that all real numbers and all imaginary numbers are complex numbers but not all complex numbers are imaginary or real. Do you agree with Diego? Explain your reasoning.