Operations with Complex Numbers

The video tutorial explains how to add and subtract complex numbers by focusing on their real and imaginary parts separately. It provides two examples: one for addition and one for subtraction, highlighting the importance of clearing parentheses and distributing negative signs. The tutorial also demonstrates how to verify the results using a graphing calculator, ensuring accuracy in calculations.

What is the main rule to remember when adding complex numbers?

• Add the real parts and subtract the imaginary parts

• Add the real parts and add the imaginary parts

• Subtract the real parts and add the imaginary parts

• Subtract the real parts and subtract the imaginary parts

In the first example, what is the result of adding -2 + 3i and 7 - 4i?

• 5 + i

• 5 - i

• 5 + 7i

• 5 - 7i

When subtracting complex numbers, what should you remember to do?

• Subtract only the real part

• Add both parts of the complex number

• Add only the imaginary part

• Subtract both parts of the complex number

In the second example, what is the result of subtracting 12 - i from 2 - 3i?

• 10 + 2i

• 10 - 2i

• -10 + 2i

• -10 - 2i

What is the first step to verify the sum of complex numbers on a graphing calculator?

• Press the ENTER key

• Press the DECIMAL key

• Press the MODE key

• Press the SECOND key

Which mode should be highlighted on the graphing calculator to verify complex number operations?

• A + B1

• A - B1

• A / B1

• A * B1

How do you input the imaginary unit 'i' on the graphing calculator?

• Press the MODE key

• Press the SECOND key followed by the DECIMAL key

• Press the ALPHA key

• Press the ENTER key

What is the result of verifying the sum of -2 + 3i and 7 - 4i on the graphing calculator?

• 5 - i

• 5 + 7i

• 5 - 7i

• 5 + i

What is the result of verifying the difference of 2 - 3i and 12 - i on the graphing calculator?

• 10 + 2i

• -10 - 2i

• -10 + 2i

• 10 - 2i

What is the final step to verify the difference of complex numbers on the graphing calculator?

• Press the SECOND key

• Press the ENTER key

• Press the DECIMAL key

• Press the MODE key