Adding Complex Numbers

This lesson covers how to add complex numbers by combining like terms. It begins with a review of combining like terms using binomials and addresses common misunderstandings, such as not keeping signs with terms. The lesson then explains how to add complex numbers by separating real and imaginary parts, providing examples and exploring special cases where the sum results in a real or pure imaginary number. Finally, it demonstrates adding more than two complex numbers.

What is the result of combining the like terms in the expression: -2 + 4x + 5 - 8x?

• 4x - 3

• 4x + 3

• -4x + 3

• -4x - 3

When combining like terms, what is a common mistake to avoid?

• Combining terms with different variables

• Ignoring the coefficients

• Combining terms with different exponents

• Not keeping track of the signs

How do you find the sum of the complex numbers 2 + 3i and -6 - i?

• 4 + 2i

• -4 - 2i

• 4 - 2i

• -4 + 2i

What is the result of adding the real number -3 to the complex number 5 - 2i?

• 2 + 2i

• 2 - 2i

• -2 + 2i

• -2 - 2i

Can the sum of two complex numbers be a real number? If so, what is an example?

• Yes, 3 + 2i and -3 - 2i

• No, it is not possible

• Yes, 5 + 3i and -5 - 3i

• Yes, 9 + 5i and -4 - 5i

What is the result of adding the complex numbers -3 + 11i and 3 - 2i?

• -9 + 0i

• 0 + 9i

• 0 - 9i

• 9 + 0i

What is the result of adding the complex numbers 4 - 4 + 9 and 6i - 4i - 3i?

• 0 - i

• 0 + i

• 9 + i

• 9 - i