Exploring Operations with Complex Numbers

What must be the order of terms when writing a complex number in standard form?

• Imaginary part first, then real part

• Real part first, then imaginary part

• Both parts in any order

• Only the imaginary part

What is the complex conjugate of 3 + 7i?

• -3 + 7i

• -3 - 7i

• 3 - 7i

• 3 + 7i

When adding complex numbers, which parts do you combine?

• Any parts in any order

• Real parts with real parts and imaginary parts with imaginary parts

• Only the imaginary parts

• Only the real parts

What is the result of adding -11 + 3i and 9 + 2i?

• -2 + 5i

• 2 + 5i

• 2 + 1i

• -2 + 1i

What should you remember to do when multiplying complex numbers?

• Subtract the exponents

• Ignore the exponents

• Divide the exponents

• Add the exponents

What is the product of 2i and -3i?

• -6

• 6i

• 6

• -6i

What is the simplified form of (2 - 5i)(2 + 5i)?

• 4 + 25

• 4 + 25i^2

• 4 - 25

• 4 - 25i^2

Why do we multiply by the conjugate when simplifying complex fractions?

• To add more terms

• To make the fraction larger

• To get rid of the real part

• To get rid of the imaginary part in the denominator

What is the simplified form of 10 / (2i)?

• -10i

• 10i

• -5i

• 5i

What is the result of multiplying (1 + 8i) by its conjugate?

• 1 + 64

• 1 - 64i^2

• 1 + 64i^2

• 1 - 64