# Complex Numbers

When it comes to complex numbers,

You may notice a strange guy,

Who and Why?

That guy is the imaginary number i.

Look at how i divides a pie

Into 4 pieces, as i, -1, -i, 1,

And i is i,

i squared is negative one, -1,

i cubed is opposite of i, -i,

i fourth is positive one, 1.

If you want to go further with the power of i,

You know i fifth is the same as i,

Because 5 is 4+1,

And i fourth power goes back to 1.

Thus the power of i is easy to simplify.

Divide any power of i by four, 4.

Complex solutions always come in pairs,

a+bi, a-bi are conjugate pairs.

Multiplication, and Division,

All work the same wonders

In complex numbers

As they do in real numbers.

Make sure real parts go with real parts,

Imaginary parts join imaginary parts.

The final expression will always be  a+bi,

With a, b either a whole number or a fraction.

If b is a fraction,

Make sure i sits on top,

Otherwise,

Make 1 over i equal to negative i, -i.

Do you understand the function of i?

I like i,

## 17 thoughts on “Complex Numbers”

1. goooooooooood morning Ji, wow you are clever lol, this is beyond me, however its an education coming to your blog and one always learns, thanks for keeping our brains in trim……

1. As always, I applaud you for being supportive and being positive about my blog.

Have A Bright Day.

2. Roxie says:

How aptly you are named.
You jingle, just as claimed.
Drop by my blog whenever – yes.

1. Cute Roxie:

How Witty you are,
You tickle, unexpected,
YES, we can be friends 🙂
I wonder where you live,

3. Hi,
Wanted to thank you for visiting my blog and leaving the wonderful comment about my grandbaby.

Math has always been my least favorite subject. 🙂 Such a wonderful way to present it here.
Love the kitten poem.

1. Hello, Carletta:

you have a very precious grand-kid there. 🙂

Thank you for stopping by,
come again.

4. Math so early in the morning! Maybe I should pop back over after I’ve had a nap:)

1. Debbie:

Math shall make you happy,

Thank you for tackling some math,
for your life’s learning worth :).

5. Hey thanks for mentioning my blog and there’s been a slightly humorous mix up. Sarah is my mom. She enjoys your blog but doesn’t have one of her own so she uses mine.
JP Beaty

P.S. thanks for all great coments on my blog have a nice day

1. Hello, JP:

Sorry for the giggling mix-up.

Why don’t you let your mom have one on her own?

anyway, thank you for the correction. I did feel confused a bit when I saw JP as the cartoonist…..

What lovely Mother /Kid relation. 🙂

Have An Awesome Week.

surface encounters macomb

Hi, happened that I wanted you to hear that I have added your site to my bookmarks due to the gorgeous website style. With that said, truly, I think your site has one of the smoothest layouts I’ve happened across. It honestly makes the blog simpler to read.

8. oen_can says:

I hope you dont mind
and I hope you’ll be kind