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

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  • Опубликовано: 25 авг 2024

Комментарии • 161

  • @TheAPlusTutor
    @TheAPlusTutor  2 года назад +101

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

  • @subalsakhadas2005
    @subalsakhadas2005 9 месяцев назад +14

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

  • @curtisgiere8804
    @curtisgiere8804 2 года назад +37

    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
      @TheAPlusTutor  2 года назад +7

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

  • @nanayaaadomaadoku-amponsah672
    @nanayaaadomaadoku-amponsah672 2 года назад +7

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

  • @RadarVibes
    @RadarVibes 2 года назад +13

    Very easy to understand! Thank you for the explanation!

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад +3

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

  • @denzelmampondo1987
    @denzelmampondo1987 14 дней назад

    sensational
    i've never understood these until now
    thank you

  • @kingkaush4563
    @kingkaush4563 9 месяцев назад +2

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

  • @davidmaram35
    @davidmaram35 Год назад

    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..............

  • @user-ju8vs6nv4n
    @user-ju8vs6nv4n 3 месяца назад +1

    I understood it honestly your the best

  • @user-S19
    @user-S19 2 года назад +3

    Very easy to understand and learn. Thank you.

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад

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

  • @primuscliff7313
    @primuscliff7313 Год назад +5

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

  • @centralpace3168
    @centralpace3168 10 месяцев назад +2

    You teach better than my actual math teacher :3

  • @o.m.001
    @o.m.001 5 месяцев назад +1

    Perfect video, thanks!

  • @quack_malard5793
    @quack_malard5793 Год назад +1

    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
    @yatokatsugi7213 2 года назад +1

    your voice i was listening all time

  • @centroidg9851
    @centroidg9851 2 года назад +2

    very good, very simple and ez to understand thanks

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад

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

  • @finnjake8264
    @finnjake8264 24 дня назад

    Such an awesome video! Thank you very much❤

  • @user-uw6no7zm7u
    @user-uw6no7zm7u 5 месяцев назад +1

    excellent!!!!

  • @defnotwinter
    @defnotwinter Год назад

    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 !!!

  • @ericrosario1345
    @ericrosario1345 3 года назад +1

    Nice Thumbnail! Clear and easy to see!

    • @TheAPlusTutor
      @TheAPlusTutor  3 года назад

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

  • @JoshScottttt
    @JoshScottttt Год назад

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

  • @LaxArteta
    @LaxArteta Год назад

    I am so grateful I watched you tutorial on this

  • @casein_bread
    @casein_bread 4 месяца назад

    Thank you!

  • @haoboihaolai3728
    @haoboihaolai3728 Год назад +1

    You are one of my favorite teacher ma'am ☺️

  • @johnlungu2439
    @johnlungu2439 Год назад

    Very good tutor

  • @kr5334
    @kr5334 10 месяцев назад

    Thank you ❤🫂

  • @EvansMweemba-to4ow
    @EvansMweemba-to4ow 3 месяца назад

    Thank you so much

  • @binyamyallew4120
    @binyamyallew4120 2 года назад

    i just want to say Thank you very much!

  • @mwenechogondwe8516
    @mwenechogondwe8516 Год назад

    Simple and straight forward👍

  • @sadiqsheikh5298
    @sadiqsheikh5298 Год назад

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

  • @JosephOtieno-zu2rm
    @JosephOtieno-zu2rm 8 месяцев назад

    Simple to understand 😊 thank you

  • @divineobot1605
    @divineobot1605 6 месяцев назад

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

  • @JhusThin
    @JhusThin 8 месяцев назад

    Easy and simple to understand 😅

  • @chettykenney5115
    @chettykenney5115 Год назад

    Best tutorial page so far

  • @sonambidlan-vq6ui
    @sonambidlan-vq6ui Год назад

    THANK U SO MUCH U ARE THE BEST
    🥰🥰😁😊

  • @noobkin6995
    @noobkin6995 2 года назад +1

    Thank you, very helpful

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад

      You’re very welcome! Glad it could help!

  • @yukakapaluy8866
    @yukakapaluy8866 4 месяца назад

    This was so helpful thank you so much

  • @deBelovedd
    @deBelovedd Год назад

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

  • @avanthikareddy9711
    @avanthikareddy9711 2 года назад

    Thank you it is easy to me now..

  • @ifeanyiprospero.911
    @ifeanyiprospero.911 Год назад

    Thank you very much.

  • @NilangaAbhisheka
    @NilangaAbhisheka 5 месяцев назад

    Great Explanation 💯

  • @thebigheartedboyy
    @thebigheartedboyy 2 года назад

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

  • @hadirhussien2072
    @hadirhussien2072 Месяц назад

    Thank youuuuu

  • @amadbadal228
    @amadbadal228 2 года назад

    Thank you teacher it was very short and easy.

  • @movieclips267
    @movieclips267 9 месяцев назад

    thank you

  • @FelixSikindo123
    @FelixSikindo123 2 года назад

    Thank you for sharing

  • @zakariyekhaalid3289
    @zakariyekhaalid3289 Год назад

    Tnks 💯

  • @latoyaetienne1726
    @latoyaetienne1726 2 года назад +3

    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
      @TheAPlusTutor  2 года назад +2

      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!

  • @jawad_youtube
    @jawad_youtube 2 года назад +1

    Thank you very much, Ma'am❤

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад +1

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

  • @jacksonmmene2712
    @jacksonmmene2712 10 месяцев назад

    Well explained thanks

  • @Dangarad.01
    @Dangarad.01 Год назад

    Thank you sister.❤🙏

  • @rsxryzen8629
    @rsxryzen8629 Год назад +1

    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
      @TheAPlusTutor  Год назад +1

      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!

  • @EvansMweemba-to4ow
    @EvansMweemba-to4ow 3 месяца назад

    Thanks u so much

  • @abdulmusaweromari1805
    @abdulmusaweromari1805 11 месяцев назад

    Thanks madam your explanation is amazing!

  • @mr.someone4573
    @mr.someone4573 2 года назад

    Thank you, well explained

  • @yourmom991
    @yourmom991 Год назад

    THANK YOU BESTIEEE

  • @TheFireQueen2476
    @TheFireQueen2476 2 года назад

    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
      @TheAPlusTutor  2 года назад +1

      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
      @TheFireQueen2476 2 года назад

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

  • @ankurmishra4042
    @ankurmishra4042 Год назад

    Thanks For Such A Great Video

  • @johnsoneffum6433
    @johnsoneffum6433 Год назад

    Thank you very much ❤

  • @LittleOutCast
    @LittleOutCast Год назад

    GREAT VIDEO. very helpful!!!!

  • @yahelphysics1914
    @yahelphysics1914 2 года назад

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

  • @helenkalobwe8408
    @helenkalobwe8408 2 года назад

    Thanks a lot 😊 I now understand 😊

  • @HikmatPir-qe3pc
    @HikmatPir-qe3pc 11 месяцев назад

    Thank you mam😊
    Proud of you

  • @shilpakanakagiri9129
    @shilpakanakagiri9129 Год назад

    Tq so much 👌👌👌

  • @clumsydins9771
    @clumsydins9771 2 года назад +1

    Really helpful. And great presentation.

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад +1

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

  • @sadiqsheikh5298
    @sadiqsheikh5298 Год назад

    I also enjoy alot... 😊

  • @successologun4244
    @successologun4244 Год назад

    thanks so much for d explanation
    its really interesting and helpful

  • @stevemulwa7883
    @stevemulwa7883 2 года назад

    Your video has helped me a lot. Thanks

  • @Dynamic_107
    @Dynamic_107 5 месяцев назад

    Great ❤

  • @jaymeemargarethsilao8837
    @jaymeemargarethsilao8837 Год назад

    Thank you sm for this!

  • @LuhuhuGahhw
    @LuhuhuGahhw 3 месяца назад

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

  • @SukhwinderSingh-xi7nx
    @SukhwinderSingh-xi7nx Год назад

    Thank you madam ji

  • @emirjais7471
    @emirjais7471 2 года назад

    i subbed because i like your video.

  • @oops9053
    @oops9053 2 года назад

    understood easily , thanks a ton

  • @Omar-kl5go
    @Omar-kl5go 2 года назад

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

    • @TheAPlusTutor
      @TheAPlusTutor  2 года назад

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

  • @Dereck27
    @Dereck27 2 года назад +3

    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
      @TheAPlusTutor  2 года назад

      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!
      ruclips.net/video/MIxmOXidx4U/видео.html

  • @nkosazanazana9549
    @nkosazanazana9549 2 года назад

    Thank you 🎀

  • @Ittachi1906
    @Ittachi1906 Год назад

    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 😊

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 10 месяцев назад

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

  • @starbrightspirit
    @starbrightspirit Год назад

    thank you so much 🥲

  • @isamallahzaat
    @isamallahzaat 2 года назад

    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
      @TheAPlusTutor  2 года назад

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

  • @azizsdiq8614
    @azizsdiq8614 Год назад

    Well done teacher 😘😘

  • @neisesmart6853
    @neisesmart6853 3 года назад +9

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

    • @TheAPlusTutor
      @TheAPlusTutor  3 года назад +4

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

  • @hybridequation6385
    @hybridequation6385 2 года назад

    Really helpful thanks a lot

  • @jillboone8657
    @jillboone8657 2 года назад

    You taught me better than my math teacher

  • @blueeyesgaming1621
    @blueeyesgaming1621 3 месяца назад

    Clear

  • @kemalahmedadem1468
    @kemalahmedadem1468 Год назад

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

  • @MoonGirl-my4zn
    @MoonGirl-my4zn 2 года назад

    Thanks

  • @vansf3433
    @vansf3433 Год назад +2

    All you guys, including human best mathematicians, professors of mathematics at all schools will soon need re-educating

  • @thelixel606
    @thelixel606 2 года назад

    Woah thank you, pretty nice vid

  • @zaprince620
    @zaprince620 2 года назад

    Nice method maim I love your method 🤗🤗

  • @user-bg3jj1dz1v
    @user-bg3jj1dz1v Год назад

    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

  • @evertonkahari5911
    @evertonkahari5911 10 месяцев назад

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

  • @shadowdulpireal1040
    @shadowdulpireal1040 Год назад

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

  • @mexyztv3256
    @mexyztv3256 Год назад

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

    • @TheAPlusTutor
      @TheAPlusTutor  Год назад

      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.

  • @evzlen
    @evzlen 8 месяцев назад

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

  • @vijayush143love4
    @vijayush143love4 Год назад

    Additive inverse of complex numbers video petandi

  • @johnlaurencegumapac9447
    @johnlaurencegumapac9447 Год назад

    In the subtracting complex numbers, this should be the answer:
    1. -3-8i
    2. 1-12square root of 2i
    There should be no positive sign on the middle.

    • @johnlaurencegumapac9447
      @johnlaurencegumapac9447 Год назад

      When using calcu you can use mode 2: complex. You can type the whole equation and you will got that answer

  • @Cartoonist_Editx
    @Cartoonist_Editx 3 месяца назад

    Your voice is so gorgeous brw amazing videob😂

  • @mcfright_xd3504
    @mcfright_xd3504 2 года назад

    thank you, heheh