Complex Numbers AI

• ±3 i

• ±3

• ±9

• 0

• -1

• 1

• 0

• 2

What is the set of complex numbers denoted by? Fill in the blank: The set of all complex numbers is denoted by _____

• C

• R

• Z

• N

If the complex number z = a + bi, what is the real part of z?

• a

• b

• a + b

• bi

If the complex number z = a + bi, what is the imaginary part of z?

• b

• a

• a + b

• bi

Who first introduced the symbol i for the imaginary unit? Fill in the blank: The symbol i was first introduced by _____?

• Leonhard Euler

• Carl Friedrich Gauss

• Isaac Newton

• Augustin-Louis Cauchy

The square root of -1 is denoted by the symbol i, called the imaginary unit.

• True

• False

The set of complex numbers enabled us to solve any polynomial equation.

• True

• False

Find the real part and the imaginary part of the complex number 7 - 15i. Write the real part and the imaginary part.

• Real part: 7, Imaginary part: -15

• Real part: -7, Imaginary part: 15

• Real part: 15, Imaginary part: -7

• Real part: -15, Imaginary part: 7

Find the real part and the imaginary part of the complex number 18 + 5i. Write the real part and the imaginary part.

• Real part: 18, Imaginary part: 5

• Real part: 5, Imaginary part: 18

• Real part: 18, Imaginary part: -5

• Real part: -18, Imaginary part: 5