B-Man: Intro to Complex Numbers

Match

Match the following non-real roots with their complex number form: $$a\cdot i$$ where $$a$$ is a real number.

• $$\sqrt[]{-25}$$

• $$\sqrt[]{-36}$$

• $$\sqrt[]{-100}$$

• $$\sqrt[]{-45}$$

• $$\sqrt[]{-\frac{144}{625}}$$

• $$5i$$

• $$6i$$

• $$10i$$

• $$3\sqrt[]{5}\cdot i$$

• $$\frac{12}{25}i$$

Multiple Choice

Which gives the STANDARD FORM for the complex number:

$$15-\sqrt[]{-81}$$

• $$15+9i$$

• $$15-8i$$

• $$15-9i$$

• $$15-9\sqrt[]{-1}$$

Labelling

Label the

REAL part __

and the

IMAGINARY part __

of the complex number.

Drag labels to their correct position on the image

IMAGINARY part

REAL part

Labelling

Label the

REAL part __

and the

IMAGINARY part __

of the complex number.

Drag labels to their correct position on the image

REAL part

IMAGINARY part

Multiple Choice

Which gives the STANDARD FORM for the complex number:

$$-9+\sqrt[]{-196}$$

• $$-9+14i$$

• $$-9-14i$$

• $$9+14i$$

• $$9-14i$$

Match

Match the complex number with its STANDARD FORM:

$$a+bi$$

• $$-29+\sqrt[]{-49}$$

• $$\frac{2}{5}-\frac{\sqrt[]{-81}}{7}$$

• $$-131+\sqrt[]{-441}$$

• $$242-\sqrt[]{-289}$$

• $$114-\sqrt[]{-243}$$

• $$-29+7i$$

• $$\frac{2}{5}-\frac{9}{7}i$$

• $$-131+21i$$

• $$242-17i$$

• $$114-9\sqrt[]{3}\cdot i$$

Multiple Choice

Add the two complex numbers:

$$\left(-7+16i\right)+\left(-18+13i\right)$$

• $$-23-5i$$

• $$-25-29i$$

• $$-25+29i$$

• $$-11+29i$$

Multiple Choice

Subtract the two complex numbers:

$$\left(14+9i\right)-\left(23+11i\right)$$

• $$-9-20i$$

• $$37+20i$$

• $$-9+20i$$

• $$-9-2i$$

Multiple Choice

Add the two complex numbers:

$$\left(5+7i\right)+\left(8+3i\right)$$

• $$12+11i$$

• $$13+10i$$

• $$-2+5i$$

• $$13-10i$$

Multiple Choice

Subtract the two complex numbers:

$$\left(-26-18i\right)-\left(42-39i\right)$$

• $$-68-21i$$

• $$-68-57i$$

• $$16+21i$$

• $$-68+21i$$

Enjoy the video at the right. This type of fractal geometry is
a computer representation of a function of complex numbers
in coordinate space.

and . . .
Open the following link:
https://en.neurochispas.com/algebra/applications-of-complex-numbers/

​. . .for a paper discussing various applications.

​If you're curious where complex numbers are used . . .