COMPLEX NUMBERS | How to Add, Subtract, Multiply and Divide Complex Numbers

Рет қаралды 171,100

Күн бұрын

Let's go over Complex Numbers!
Learn how to add complex numbers by combining like terms, subtract complex numbers by subtracting like terms, multiply complex numbers using the FOIL method, and divide complex numbers using complex conjugates.
Comment what other topics you'd like the A+ Tutor to review! New videos are uploaded every week.
Watch Next:
How to Add and Subtract Complex Numbers: • How to Add and Subtrac...
How to Multiply Complex Numbers: • How to Multiply Comple...
How to Divide Complex Numbers: • How to Divide Complex ...
Timeline:
00:00 Intro
00:11 Definition of Complex Numbers
02:19 Adding Complex Numbers
04:48 Subtracting Complex Numbers
07:42 Multiplying Complex Numbers
10:29 Dividing Complex Numbers
14:44 Ending
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Пікірлер: 159

@TheAPlusTutor 2 жыл бұрын

For the second example in Dividing Complex Numbers, the negative sign was cut off. The correct answer is -52 + 14i / 25.

@MoonGirl-my4zn 2 жыл бұрын

Thanks

@megatrondeathray6574 Жыл бұрын

I was so confused lol. Thanks for the clarification.

@johnkennedycamins5507 Жыл бұрын

@@MoonGirl-my4zn >

@6vll Жыл бұрын

the first example of division how u got 8i???

@hamzamuci50 Жыл бұрын

@@MoonGirl-my4znthanks you Soo much 😊

@curtisgiere8804 2 жыл бұрын

Im 55 and going back to college. your lessons.. .. .. have helped me so much. You are very clear in your explanations. Thank you. Plus the added benefit of always being able to coming back to them

@TheAPlusTutor 2 жыл бұрын

Thank you so much! And good luck on your journey! That’s so exciting!!

@subalsakhadas2005 8 ай бұрын

The explaination was very calm and understandable regardless of a hurry one like most of the others

@nanayaaadomaadoku-amponsah672 Жыл бұрын

I had no idea about complex numbers but you made it simpler thanks..🤗

@RadarVibes 2 жыл бұрын

Very easy to understand! Thank you for the explanation!

@TheAPlusTutor 2 жыл бұрын

Thank you so much! I'm glad it was helpful!

@davidmaram35 Жыл бұрын

It took me a year and half to understand the operationsof complex number before i come here, but now, your 14:40 minutes explain the whole year and half, thank you and be bless..............

@deBelovedd Жыл бұрын

Wow... I must commend you. I just got a perfect understanding of this topic now. Thanks A+

@centralpace3168 9 ай бұрын

You teach better than my actual math teacher :3

@user-ju8vs6nv4n 2 ай бұрын

I understood it honestly your the best

@kingkaush4563 8 ай бұрын

thanks alot for the well elaborated examples . may you be blessed

@sadiqsheikh5298 11 ай бұрын

Very helpful and easy to understand...thank you so much 😊

@Rithwik25 Жыл бұрын

loved the session thank you Dear

@o.m.001 4 ай бұрын

Perfect video, thanks!

@user-S19 2 жыл бұрын

Very easy to understand and learn. Thank you.

@TheAPlusTutor 2 жыл бұрын

You’re welcome! I’m glad you enjoyed!

@JosephOtieno-zu2rm 7 ай бұрын

Simple to understand 😊 thank you

@yahelphysics1914 2 жыл бұрын

Thank you so much ...very helpful. Good explaination

@NilangaAbhisheka 4 ай бұрын

Great Explanation 💯

@defnotwinter Жыл бұрын

ur so nice. omg u totally helped me... way much more than my teachers. THANK YOUU!!! I LOVE YOU!! I WISH NOTHING BUT THE BEST FOR YOU !!!

@primuscliff7313 Жыл бұрын

Thanks tutor, you made it easy to understand. I don't know if you could please make a video on Integration?

@JoshScottttt 11 ай бұрын

I stg you are so much more clear than my actual teachers thank you so much

@LaxArteta Жыл бұрын

I am so grateful I watched you tutorial on this

@mr.someone4573 2 жыл бұрын

Thank you, well explained

@mwenechogondwe8516 Жыл бұрын

Simple and straight forward👍

@TheAPlusTutor Жыл бұрын

Thank you!

@ericrosario1345 3 жыл бұрын

Nice Thumbnail! Clear and easy to see!

@TheAPlusTutor 3 жыл бұрын

Thank you! I’m constantly making improvements so your feedback is helpful 😇

@user-uw6no7zm7u 4 ай бұрын

excellent!!!!

@helenkalobwe8408 2 жыл бұрын

Thanks a lot 😊 I now understand 😊

@quack_malard5793 Жыл бұрын

Thank you so so much. I’m a grade level ahead of my class and I’m really struggling. I have adhd, ocd, math dyslexia, and autism, so I definitely have a harder time learning. Thank you m

@yatokatsugi7213 2 жыл бұрын

your voice i was listening all time

@jaymeemargarethsilao8837 Жыл бұрын

Thank you sm for this!

@casein_bread 3 ай бұрын

Thank you!

@yukakapaluy8866 3 ай бұрын

This was so helpful thank you so much

@johnsoneffum6433 Жыл бұрын

Thank you very much ❤

@clumsydins9771 2 жыл бұрын

Really helpful. And great presentation.

@TheAPlusTutor 2 жыл бұрын

Thank you! I’m glad you found it useful!

@binyamyallew4120 Жыл бұрын

i just want to say Thank you very much!

@centroidg9851 2 жыл бұрын

very good, very simple and ez to understand thanks

@TheAPlusTutor 2 жыл бұрын

You’re very welcome! I’m glad to hear it helped!

@FelixSikindo123 2 жыл бұрын

Thank you for sharing

@ankurmishra4042 Жыл бұрын

Thanks For Such A Great Video

@jacksonmmene2712 9 ай бұрын

Well explained thanks

@avanthikareddy9711 2 жыл бұрын

Thank you it is easy to me now..

@amadbadal228 2 жыл бұрын

Thank you teacher it was very short and easy.

@oops9053 2 жыл бұрын

understood easily , thanks a ton

@TheAPlusTutor 2 жыл бұрын

Most welcome!

@Omar-kl5go 2 жыл бұрын

Thank youu! I was really struggling with that thing :)

@TheAPlusTutor 2 жыл бұрын

You’re welcome! I’m glad to hear it was helpful!

@EvansMweemba-to4ow 2 ай бұрын

Thank you so much

@LittleOutCast Жыл бұрын

GREAT VIDEO. very helpful!!!!

@TheAPlusTutor Жыл бұрын

Glad you think so!

@hadirhussien2072 4 күн бұрын

Thank youuuuu

@johnlungu2439 11 ай бұрын

Very good tutor

@kr5334 9 ай бұрын

Thank you ❤🫂

@successologun4244 Жыл бұрын

thanks so much for d explanation its really interesting and helpful

@noobkin6995 2 жыл бұрын

Thank you, very helpful

@TheAPlusTutor 2 жыл бұрын

You’re very welcome! Glad it could help!

@Dangarad.01 Жыл бұрын

Thank you sister.❤🙏

@chettykenney5115 Жыл бұрын

Best tutorial page so far

@TheAPlusTutor Жыл бұрын

Thank you so much!

@stevemulwa7883 2 жыл бұрын

Your video has helped me a lot. Thanks

@TheAPlusTutor 2 жыл бұрын

So glad to hear that!

@ifeanyiprospero.911 Жыл бұрын

Thank you very much.

@TheAPlusTutor Жыл бұрын

You’re welcome!

@Dynamic_107 4 ай бұрын

Great ❤

@haoboihaolai3728 Жыл бұрын

You are one of my favorite teacher ma'am ☺️

@TheAPlusTutor Жыл бұрын

Thanks! Glad to hear it!

@zakariyekhaalid3289 Жыл бұрын

Tnks 💯

@yourmom991 Жыл бұрын

THANK YOU BESTIEEE

@abdulmusaweromari1805 11 ай бұрын

Thanks madam your explanation is amazing!

@sonambidlan-vq6ui Жыл бұрын

THANK U SO MUCH U ARE THE BEST 🥰🥰😁😊

@EvansMweemba-to4ow 2 ай бұрын

Thanks u so much

@thebigheartedboyy 2 жыл бұрын

Thanks for your help today I know how to go about complex numbers

@movieclips267 8 ай бұрын

thank you

@JhusThin 7 ай бұрын

Easy and simple to understand 😅

@hybridequation6385 2 жыл бұрын

Really helpful thanks a lot

@TheAPlusTutor 2 жыл бұрын

You're welcome!

@shilpakanakagiri9129 Жыл бұрын

Tq so much 👌👌👌

@azizsdiq8614 Жыл бұрын

Well done teacher 😘😘

@thelixel606 2 жыл бұрын

Woah thank you, pretty nice vid

@TheAPlusTutor 2 жыл бұрын

Glad you liked it!

@HikmatPir-qe3pc 10 ай бұрын

Thank you mam😊 Proud of you

@emirjais7471 2 жыл бұрын

i subbed because i like your video.

@TheAPlusTutor 2 жыл бұрын

I appreciate it!!

@nkosazanazana9549 2 жыл бұрын

Thank you 🎀

@TheAPlusTutor 2 жыл бұрын

You are so welcome!

@TheFireQueen2476 2 жыл бұрын

Thank you so so so much, today in class I kept dozing off (since it's my first hour), and idk why since i went to bed early last night, so I had no clue how to do this, I asked my teacher if I could go to her after at the end of the school day but she had a meeting, and Savvas Realize's (our textbook brand) online website wasn't working so i had no idea where i was going to watch the videos, but I found this video instead, thank you so so much!

@TheAPlusTutor 2 жыл бұрын

I’m so glad you found this video and it was helpful!! Thanks for your message ❣️ if there’s anything else you’d like me to review just let me know and I can try to make it happen!

@TheFireQueen2476 2 жыл бұрын

@@TheAPlusTutor absolutely! I will definitely keep that in mind! 😁

@sadiqsheikh5298 11 ай бұрын

I also enjoy alot... 😊

@MoonGirl-my4zn 2 жыл бұрын

Thanks

@jawad_youtube 2 жыл бұрын

Thank you very much, Ma'am❤

@TheAPlusTutor 2 жыл бұрын

You’re very welcome! I’m glad you enjoyed!

@divineobot1605 5 ай бұрын

You forgot the minus sign on 52, but thank you very much, your video is very helpful.

@zaprince620 2 жыл бұрын

Nice method maim I love your method 🤗🤗

@TheAPlusTutor 2 жыл бұрын

Thank you!

@Ittachi1906 11 ай бұрын

Clean & clear explanation ma'am 👌 👏 thank you😊...a small request it would be great if you work on writing the number 6😅...thank you ma'am 😊

@jillboone8657 2 жыл бұрын

You taught me better than my math teacher

@TheAPlusTutor 2 жыл бұрын

I'm glad I could help!

@neisesmart6853 3 жыл бұрын

Do you think you can do a video on completing the square? Your videos are really helpful by the way!

@TheAPlusTutor 3 жыл бұрын

Thank you so much and thank you for the suggestion! Yes, I will be posting a video on that, stay tuned! 😊

@latoyaetienne1726 2 жыл бұрын

I have a question, I did the second example three times and I keep getting the result -52+14i/25. After I multiplied the 12i squared to (-1) I got -12...... -40 +14i -12 over 16 + 9 = -52 + 14i / 25........ What am I doing wrong?????

@TheAPlusTutor 2 жыл бұрын

Thank you so much for your question! You are absolutely right, my negative got cut off in the video, adding a note in the description now!! Thank you!

@SukhwinderSingh-xi7nx Жыл бұрын

Thank you madam ji

@isamallahzaat 2 жыл бұрын

Hy 😊 I'm Pakistani and I am student of Diploma of associate engineer,I love your tips and helping lecture you are so nice lectures.long live you Assalam o alaikum

@TheAPlusTutor 2 жыл бұрын

Thank you for your kind words!! I wish you the best of luck in your journey

@rsxryzen8629 Жыл бұрын

Hey excuse me. Example one of dividing complex numbers. (8-5i)(8+5i) denominator* 8 multiply by 8 is 64 Shouldn't it be - 5 × 5?

@TheAPlusTutor Жыл бұрын

Hello! Thanks for your question! Yes! But then you will have i^2 * 25 which is negative 1 so the denominator will become 64 + 25 I hope this helps!

@kemalahmedadem1468 Жыл бұрын

So amazing 👏 im 11 its so understanding it helps me in exam i wish

@Dereck27 2 жыл бұрын

Your explanation was very good. I understood everything but one thing and that’s the subtraction. Would you group like terms together and then add them? Kinda confused on that

@TheAPlusTutor 2 жыл бұрын

Thanks for your question! When you subtract, first you want to distribute the minus sign, so basically change all of your signs starting at the minus sign. Then add your like terms. I have another video with more examples of subtraction, so feel free to check that out and let me know if you have any more questions! Or want some more information on subtraction! kzfaq.info/get/bejne/g6-ooLKJzsrcZIk.html

@LuhuhuGahhw 2 ай бұрын

On subtracting, example no.1 it should be -3-8i ? Or I am mistaken?

@blueeyesgaming1621 2 ай бұрын

Clear

@pelasgeuspelasgeus4634 9 ай бұрын

Excuse me, why does CN are treated as vectors? Are they numbers or vectors?

@Cartoonist_Editx 2 ай бұрын

Your voice is so gorgeous brw amazing videob😂

@mcfright_xd3504 Жыл бұрын

thank you, heheh

@declanmulligan3796 3 жыл бұрын

👍

@evertonkahari5911 9 ай бұрын

What's the software you using, better than my University

@vijayush143love4 Жыл бұрын

Additive inverse of complex numbers video petandi

@shadowdulpireal1040 Жыл бұрын

Can i ask a question My question is where did the plus come??

@user-bg3jj1dz1v Жыл бұрын

on the division part you said we change the sign of the complex numbers but our teacher told us to change the sign of the imaginary part not the whole complex

@evzlen 7 ай бұрын

7:35 i don't understand how (-6i√2-6i√2) is 12i√2 why is it still √2

@mexyztv3256 Жыл бұрын

Little bit confused in the last part dividing complex numbers How did u get -94 +8i

@TheAPlusTutor Жыл бұрын

Thanks for your question! When you FOIL, you are left with 30i^2 which becomes -30 since i^2 = -1. Then your like terms are -64 and -30 so combining those gives you -94. Then you combine -40i and 48i to get positive 8i. Hope this clears it up.