Tutorial - Combining complex numbers ex 6, (10 - 2i) + (-11 - 7i)

The video tutorial explains how to combine complex numbers by focusing on the real and imaginary parts separately. It demonstrates the process of rewriting complex numbers to align real and imaginary components, allowing for straightforward addition or subtraction. The tutorial concludes with a practical example, showing the combination of terms to simplify complex numbers.

What is the first step in combining complex numbers?

• Add the real parts to the imaginary parts.

• Subtract the imaginary parts from the real parts.

• Multiply the real and imaginary parts.

• Separate the real and imaginary parts.

How should complex numbers be rewritten for easier combination?

• With real parts and imaginary parts mixed together.

• With real parts next to each other and imaginary parts next to each other.

• In any random order.

• With imaginary parts first, followed by real parts.

What is the result of combining the real parts 10 and -11?

• -1

• -21

• 1

• 21

What is the result of combining the imaginary parts -2i and -7i?

• -5i

• 5i

• 9i

• -9i

What is the final simplified form of the complex number 10 - 11 and -2i - 7i?

• 1 - 9i

• -1 - 9i

• 1 + 9i

• -1 + 9i