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

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  • Опубліковано 14 січ 2025

КОМЕНТАРІ • 187

  • @TheAPlusTutor
    @TheAPlusTutor  3 роки тому +130

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

  • @subalsakhadas2005
    @subalsakhadas2005 Рік тому +20

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

  • @curtisgiere8804
    @curtisgiere8804 2 роки тому +47

    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 роки тому +10

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

  • @RadarVibes
    @RadarVibes 2 роки тому +16

    Very easy to understand! Thank you for the explanation!

    • @TheAPlusTutor
      @TheAPlusTutor  2 роки тому +3

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

  • @davidmaram35
    @davidmaram35 Рік тому +1

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

  • @kingkaush4563
    @kingkaush4563 Рік тому +2

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

  • @yaa_doku672
    @yaa_doku672 2 роки тому +9

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

  • @DarshiSandamali
    @DarshiSandamali 17 днів тому

    Explanation is clear with examples and I catch it quickly.. thank you

  • @oyewalemuhammed
    @oyewalemuhammed 9 днів тому

    Very calm and understanding
    Thank you very much

  • @Rithwik25
    @Rithwik25 Рік тому +2

    loved the session
    thank you Dear

  • @o.m.001
    @o.m.001 10 місяців тому +1

    Perfect video, thanks!

  • @user-S19
    @user-S19 3 роки тому +4

    Very easy to understand and learn. Thank you.

    • @TheAPlusTutor
      @TheAPlusTutor  3 роки тому +1

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

  • @ericrosario1345
    @ericrosario1345 4 роки тому +2

    Nice Thumbnail! Clear and easy to see!

    • @TheAPlusTutor
      @TheAPlusTutor  4 роки тому +1

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

  • @yatokatsugi7213
    @yatokatsugi7213 3 роки тому +1

    your voice i was listening all time

  • @ChideraKenneth-k7s
    @ChideraKenneth-k7s 8 місяців тому +1

    I understood it honestly your the best

  • @centroidg9851
    @centroidg9851 3 роки тому +2

    very good, very simple and ez to understand thanks

    • @TheAPlusTutor
      @TheAPlusTutor  3 роки тому

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

  • @FaithNgulube-b9o
    @FaithNgulube-b9o Місяць тому

    You're so good at explaining I got it ❤️

  • @primuscliff7313
    @primuscliff7313 2 роки тому +6

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

  • @chettykenney5115
    @chettykenney5115 Рік тому

    Best tutorial page so far

  • @denzelmampondo1987
    @denzelmampondo1987 5 місяців тому

    sensational
    i've never understood these until now
    thank you

  • @haoboihaolai3728
    @haoboihaolai3728 2 роки тому +1

    You are one of my favorite teacher ma'am ☺️

  • @reysvlog1076
    @reysvlog1076 Місяць тому

    big help and thank you very much.

  • @Farhsq
    @Farhsq 2 дні тому

    Thank you dear❤

  • @NilangaAbhisheka
    @NilangaAbhisheka 10 місяців тому

    Great Explanation 💯

  • @JosephOtieno-zu2rm
    @JosephOtieno-zu2rm Рік тому

    Simple to understand 😊 thank you

  • @JoshScottttt
    @JoshScottttt Рік тому

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

  • @cliffordcarr-z2f
    @cliffordcarr-z2f 10 місяців тому +1

    excellent!!!!

  • @defnotwinter
    @defnotwinter Рік тому

    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 !!!

  • @quack_malard5793
    @quack_malard5793 2 роки тому +3

    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

  • @LaxArteta
    @LaxArteta Рік тому

    I am so grateful I watched you tutorial on this

  • @noobkin6995
    @noobkin6995 3 роки тому +1

    Thank you, very helpful

    • @TheAPlusTutor
      @TheAPlusTutor  3 роки тому

      You’re very welcome! Glad it could help!

  • @finnjake8264
    @finnjake8264 5 місяців тому

    Such an awesome video! Thank you very much❤

  • @centralpace3168
    @centralpace3168 Рік тому +2

    You teach better than my actual math teacher :3

  • @jawad_youtube
    @jawad_youtube 2 роки тому +1

    Thank you very much, Ma'am❤

    • @TheAPlusTutor
      @TheAPlusTutor  2 роки тому +1

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

  • @luvochiya4134
    @luvochiya4134 3 місяці тому

    ❤❤ I thank you 🎉🎉🎉

  • @binyamyallew4120
    @binyamyallew4120 2 роки тому

    i just want to say Thank you very much!

  • @yukakapaluy8866
    @yukakapaluy8866 9 місяців тому

    This was so helpful thank you so much

  • @LittleOutCast
    @LittleOutCast Рік тому

    GREAT VIDEO. very helpful!!!!

  • @avanthikareddy9711
    @avanthikareddy9711 2 роки тому

    Thank you it is easy to me now..

  • @deepti.smastamardi9549
    @deepti.smastamardi9549 3 місяці тому

    Very nice explanation ⚡❤

  • @johnlungu2439
    @johnlungu2439 Рік тому

    Very good tutor

  • @mwenechogondwe8516
    @mwenechogondwe8516 2 роки тому

    Simple and straight forward👍

  • @johnsoneffum6433
    @johnsoneffum6433 Рік тому

    Thank you very much ❤

  • @azizsdiq8614
    @azizsdiq8614 Рік тому

    Well done teacher 😘😘

  • @EvansMweemba-to4ow
    @EvansMweemba-to4ow 8 місяців тому

    Thank you so much

  • @RajiAbdulsamad-v7y
    @RajiAbdulsamad-v7y Місяць тому

    Great thanks a lot

  • @FelixSikindo123
    @FelixSikindo123 2 роки тому

    Thank you for sharing

  • @ankurmishra4042
    @ankurmishra4042 Рік тому

    Thanks For Such A Great Video

  • @sadiqsheikh5298
    @sadiqsheikh5298 Рік тому

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

  • @mr.someone4573
    @mr.someone4573 2 роки тому

    Thank you, well explained

  • @jacksonmmene2712
    @jacksonmmene2712 Рік тому

    Well explained thanks

  • @shilpakanakagiri9129
    @shilpakanakagiri9129 Рік тому

    Tq so much 👌👌👌

  • @ifeanyiprospero.911
    @ifeanyiprospero.911 Рік тому

    Thank you very much.

  • @abdulmusaweromari1805
    @abdulmusaweromari1805 Рік тому

    Thanks madam your explanation is amazing!

  • @HikmatPir-qe3pc
    @HikmatPir-qe3pc Рік тому

    Thank you mam😊
    Proud of you

  • @amadbadal228
    @amadbadal228 2 роки тому

    Thank you teacher it was very short and easy.

  • @Guroonjire.01
    @Guroonjire.01 Рік тому

    Thank you sister.❤🙏

  • @kr5334
    @kr5334 Рік тому

    Thank you ❤🫂

  • @helenkalobwe8408
    @helenkalobwe8408 2 роки тому

    Thanks a lot 😊 I now understand 😊

  • @deBelovedd
    @deBelovedd 2 роки тому

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

  • @clumsydins9771
    @clumsydins9771 3 роки тому +1

    Really helpful. And great presentation.

    • @TheAPlusTutor
      @TheAPlusTutor  3 роки тому +1

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

  • @nkosazanazana9549
    @nkosazanazana9549 3 роки тому

    Thank you 🎀

  • @yahelphysics1914
    @yahelphysics1914 2 роки тому

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

  • @jaymeemargarethsilao8837
    @jaymeemargarethsilao8837 Рік тому

    Thank you sm for this!

  • @stevemulwa7883
    @stevemulwa7883 3 роки тому

    Your video has helped me a lot. Thanks

  • @sonambidlan-vq6ui
    @sonambidlan-vq6ui Рік тому

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

  • @emirjais7471
    @emirjais7471 2 роки тому

    i subbed because i like your video.

  • @oops9053
    @oops9053 3 роки тому

    understood easily , thanks a ton

  • @successologun4244
    @successologun4244 2 роки тому

    thanks so much for d explanation
    its really interesting and helpful

  • @latoyaetienne1726
    @latoyaetienne1726 3 роки тому +4

    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  3 роки тому +3

      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!

  • @Dynamic_107
    @Dynamic_107 10 місяців тому

    Great ❤

  • @sadiqsheikh5298
    @sadiqsheikh5298 Рік тому

    I also enjoy alot... 😊

  • @LuhuhuGahhw
    @LuhuhuGahhw 8 місяців тому +1

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

  • @JhusThin
    @JhusThin Рік тому

    Easy and simple to understand 😅

  • @Omar-kl5go
    @Omar-kl5go 3 роки тому

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

    • @TheAPlusTutor
      @TheAPlusTutor  3 роки тому

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

  • @EvansMweemba-to4ow
    @EvansMweemba-to4ow 8 місяців тому

    Thanks u so much

  • @zakariyekhaalid3289
    @zakariyekhaalid3289 2 роки тому

    Tnks 💯

  • @thebigheartedboyy
    @thebigheartedboyy 2 роки тому

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

  • @hadirhussien2072
    @hadirhussien2072 5 місяців тому

    Thank youuuuu

  • @movieclips267
    @movieclips267 Рік тому

    thank you

  • @evertonkahari5911
    @evertonkahari5911 Рік тому +1

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

  • @zaprince620
    @zaprince620 3 роки тому

    Nice method maim I love your method 🤗🤗

  • @thelixel606
    @thelixel606 3 роки тому

    Woah thank you, pretty nice vid

  • @jillboone8657
    @jillboone8657 3 роки тому

    You taught me better than my math teacher

  • @Dereck27
    @Dereck27 3 роки тому +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  3 роки тому

      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!
      ua-cam.com/video/MIxmOXidx4U/v-deo.html

  • @evzlen
    @evzlen Рік тому

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

  • @neisesmart6853
    @neisesmart6853 4 роки тому +9

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

    • @TheAPlusTutor
      @TheAPlusTutor  4 роки тому +4

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

  • @rsxryzen8629
    @rsxryzen8629 2 роки тому +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  2 роки тому +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!

  • @kemalahmedadem1468
    @kemalahmedadem1468 Рік тому

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

  • @SukhwinderSingh-xi7nx
    @SukhwinderSingh-xi7nx 2 роки тому

    Thank you madam ji

  • @MUKATEGERIYvonne
    @MUKATEGERIYvonne 4 місяці тому

    Thax

  • @TheFireQueen2476
    @TheFireQueen2476 3 роки тому

    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  3 роки тому +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 3 роки тому

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

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 Рік тому

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

  • @MoonGirl-my4zn
    @MoonGirl-my4zn 3 роки тому

    Thanks

  • @DrakePreet
    @DrakePreet 2 місяці тому

    at last 14:40 how the answer is +ve

  • @alemar4775
    @alemar4775 Рік тому +1

    -52+14i/25

  • @Itachi_uchiha1906
    @Itachi_uchiha1906 Рік тому

    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 😊

  • @isamallahzaat
    @isamallahzaat 2 роки тому

    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 роки тому

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

  • @Cartoonist_Editx
    @Cartoonist_Editx 8 місяців тому

    Your voice is so gorgeous brw amazing videob😂

  • @SimonTeshale-i8f
    @SimonTeshale-i8f Рік тому +1

    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