Imaginary and Complex Numbers [fbt]

Рет қаралды 61,608

Күн бұрын

This video by Fort Bend Tutoring shows the process of simplifying, adding, subtracting, multiplying and dividing imaginary and complex numbers. This mathematics concept, imaginary numbers, is used in algebra, trigonometry, precalculus and calculus classes. Intro/Outro by Mark Kelley of The Roots! Thanks Mark! Instruction of imaginary complex numbers by Larry "Mr. Whitt" Whittington. Fort Bend Tutoring Complex Numbers (fort bend tutoring imaginary numbers) complex numbers fbt
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Пікірлер: 148

@vascobishop732 5 жыл бұрын

If received a pound for every time I mention Mr Whitt (Larry Whittington) to my work colleagues and associates, I would be a very rich man. I don't take anything from other great scholars including Julio Gonzales, the Organic Chemistry Tutor and Khan Academy but Mr Whitt ramps it up to Mach 10. Seeing that Mach 9.6 is the fastest world speed, its easy to see where Mr Whitt is standing in all of this. Top man all the way.

@FortBendTutoring 5 жыл бұрын

Thanks 4 the huge compliment Vasco! I pray I’m able 2 keep up the quality of content this comment demands!😅

@aloz1991 9 жыл бұрын

I swear if not for this channel i would be failing my college algebra class right now. Thank you sir for all your great help, I'm sure I speak for a lot of frustrated students when I say your videos have been a breath of fresh air.

@FortBendTutoring 9 жыл бұрын

Happy 2 help Alberto!

@darina4117 2 жыл бұрын

he still does :)

@woodrowdwightfrisbee8240 Жыл бұрын

this is the absolute best explanation of math and algebra I've ever seen or heard!

@Kinsman19 6 жыл бұрын

Thanks again, Mr. Whitt. You're the best math teacher I've ever had.

@FortBendTutoring 6 жыл бұрын

+Blake Butler I appreciate your patronage and support Blake! 👊🏾

@magdyhussein1173 3 жыл бұрын

Believe it or not, one day you will be a rich man Mr. Whitt. In fact, you deserve it, and you will earn it for your knowledge and the way you deliver your knowledge to different educational levels of people in a very easy and crystal clear way.

@FortBendTutoring 3 жыл бұрын

Thanks 4 the kind words and support Magdy! I really appreciate it! 👨🏾‍🏫😁

@saneliswentombifuthi1156 2 жыл бұрын

You are the best tutor ever watching from SA💯

@shawnawalker9202 8 жыл бұрын

'Get them arrows poppin!' I love that! Your a great teacher and you make it fun! Keep up the good work Mr Whit

@samanthaetchie9212 7 жыл бұрын

I had missed school when my Pre-Cal class was learning this! I am soo glad that I watched your video!! It helped soo much!!

@jaliskamclaughlin6395 7 жыл бұрын

Thanks for posting this, it helped clear up my deficits with imaginary and complex numbers.

@FortBendTutoring 7 жыл бұрын

+Jaliska Mclaughlin Happy 2 help Jaliska! Thanks 4 the feedback!

@missbutter81 8 жыл бұрын

awesome! i missed the class about the intro to imaginary numbers and was so behind, but thanks to you i'm all caught up now! love u!!

@FortBendTutoring 8 жыл бұрын

Love you 2! Happy 2 help! :-)

@Feffifefferoni 7 жыл бұрын

This is so great honestly. I'm very thankful for this!

@FortBendTutoring 7 жыл бұрын

+Stephanie Velez My pleasure Stephanie! Thanks 4 watching!

@hamzaafandi9293 9 жыл бұрын

Amazing tutoring, thanks a lot, in 20 minutes you absolutely smashed it!

@FortBendTutoring 9 жыл бұрын

Thanks Hamza! Thanks 4 watching!

@ArtieGonz 7 жыл бұрын

Thank you Mr. Whitt. You make this sooo much easier.

@FortBendTutoring 7 жыл бұрын

+ART GONZALEZ Happy 2 help Art! Thanks 4 watching!

@nicos6494 7 жыл бұрын

Thank you very much. I was confused after learning this in my class this morning, but after watching this it's now crystal clear. Thanks again.

@jayceinfinitealgharhythmns9814 9 жыл бұрын

Phenomenal Job!!! Your truly a great instructor!!!

@FortBendTutoring 9 жыл бұрын

Thanks Joseph! I appreciate your feedback!

@moonrocks 9 жыл бұрын

Amazing job! Thank you very much sir, you make it very simple to understand, more please :)

@JossinJax 8 жыл бұрын

Love this guy!

@FortBendTutoring 8 жыл бұрын

+Jossy Beth This guy loves you! Thanks 4 the support Jossy!

@FortBendTutoring 11 жыл бұрын

Thanks for the advice!

@jamesforeman4368 9 жыл бұрын

Making the complex simple. Thanks again.

@FortBendTutoring 9 жыл бұрын

Pun intended James? *complex lol

@gersongerson92 7 жыл бұрын

thank you very much sir!

@wannursyaziyah5489 3 жыл бұрын

thank you soooo much. I understand it very well

@FortBendTutoring 3 жыл бұрын

You’re very welcome Wannur! Happy 2 help! 👨🏾‍🏫😁

@adinacappell2494 8 жыл бұрын

This is great for understand the math in quantum mechanics. Thank you!!

@FortBendTutoring 8 жыл бұрын

+Adina Cappell You're very welcome Adina!

@candyruiz 9 жыл бұрын

Thank you sooo much! Seeing your videos makes math soooo easy! I wish my math teacher had your teaching skills!

@FortBendTutoring 9 жыл бұрын

candy ruiz You're very welcome Candy! Happy 2 help!

@jwisk33 5 жыл бұрын

I want put red box around all my exams like you do Mr Whitt ! You do it so fantastically , l want learn from you.

@FortBendTutoring 5 жыл бұрын

Thanks 4 the support J Wisk! Let’s “Red Box It” together!👨🏾‍🏫😁

@stephanieveldhousen6915 9 жыл бұрын

Very informative thanks

@jordanketchum1526 7 жыл бұрын

once again Mr.Whhhhhhit you've shown me a better and easier way to do this... Thanks again!

@FortBendTutoring 7 жыл бұрын

My pleasure Jordan! Keep your foot on the gas!

@miltondasilvarosauro2 7 жыл бұрын

Thank you for the work you do is excellent.

@FortBendTutoring 7 жыл бұрын

+Milton da Silva Rosauro Thanks 4 the support Milton!

@sebastiansedaghatian9396 8 жыл бұрын

thank you got me through finals

@FortBendTutoring 8 жыл бұрын

Happy 2 help Sebastian and congratulations on your success!

@arissaarif2825 9 жыл бұрын

thank u so much!! I'm so glad i found this :-) this helps so so soo so so soo much thank u Mr.White! :)

@FortBendTutoring 9 жыл бұрын

You're very welcome Arissa!

@julianparrish8197 7 жыл бұрын

Salute brother your a great teacher thank you!!

@FortBendTutoring 7 жыл бұрын

Thanks 4 the support Julian!

@chelseagoorcharan653 4 жыл бұрын

Thank you very much this video was very helpful💜

@FortBendTutoring 4 жыл бұрын

Happy 2 help Chelsea! 👨🏾‍🏫😁

@lizzier1031 3 жыл бұрын

THANK YOU SO MUCH

@FortBendTutoring 3 жыл бұрын

My pleasure Lizzie! Thanks 4 watching! 👨🏾‍🏫😁

@yendys631 7 жыл бұрын

You are a life saver!!!!

@FortBendTutoring 7 жыл бұрын

Happy 2 help Sindey! Thanks so much 4 watching! :-)

@vishaleah8667 7 жыл бұрын

I GOT IT!!! Thank you!! 👍😎

@FortBendTutoring 7 жыл бұрын

+Vishy Alfy Wonderful! Way 2 go!

@rhenalynbo9396 8 жыл бұрын

THANK YOU SO MUCH MR. WHITE . NOW I UNDERSTAND HUEHUEHUE promise to my self i'll never sleep in the class :3 . GOD BLESS YOU MR.WHITE :)

@FortBendTutoring 8 жыл бұрын

Happy 2 help Rhenalyn! Thanks 4 watching!

@DinoMark74 7 жыл бұрын

Thank you

@oseihieeigbobo7653 8 жыл бұрын

Was 100% helpful..learnt a lot..Thanks

@FortBendTutoring 8 жыл бұрын

+Oseihie Eigbobo You're welcome Oseihie!

@artmorina01 8 жыл бұрын

Thank you sir :)

@FortBendTutoring 8 жыл бұрын

+Art Morina You're extremely welcome Art! Thanks 4 watching!

@planetmoustaphar236 7 жыл бұрын

hello FBT AKA Mr Witt i just wanted to give positive feed back because i went threw three math tests and all i did to study was watch your video and solve your exercises and i got As thank ypu so much Mr Witt i wish you will continue this way at least for 7 more years cause i wont pass high school and college with out ya

@FortBendTutoring 7 жыл бұрын

+gay MOUSTAPHA 69 I'll do my best 2 be here 4 you! Good luck and thanks 4 the positive feedback!

@ull893 6 жыл бұрын

Just like that.Like a boss !

@FortBendTutoring 6 жыл бұрын

:-)

@arnieflores93 7 жыл бұрын

Thanks!! you saved my grade!! from my MA 1414 class... since my schedule was messed up and I had no choice to take Dual Enrollment Algebra 2 and College Algebra and I'm basically 1 semester behind.. Thank you so much!

@FortBendTutoring 7 жыл бұрын

+Arnie Flores Happy 2 help Arnie!

@KarliCassandra 9 жыл бұрын

I just want to take the time out to thank you! Im currently studying for my finals and your channel has been the biggest help. You're really saving my butt lol

@FortBendTutoring 9 жыл бұрын

Karli Wilkinson That's wonderful news Karli! Good luck on your finals and thanks 4 watching!

@1DPhil. 9 жыл бұрын

Awesome presentation / lecturing. I really enjoyed it and it was really helpful. Keep up the good job Mr. White. God Bless.

@FortBendTutoring 9 жыл бұрын

Thanks Damaine! I appreciate the feedback!

@BoxingPride 9 жыл бұрын

Fort Bend Tutoring Mr. Whitt If the exponent is 4 and lower, do I still divide it by 4 every time regardless of how low the exponent power is and follow the rules you gave for every imaginary value on 1a or does it follow the rules you did with problem '1D'? Please explain and correct me if I'm wrong. Thank you! Mr.Whitt

@FortBendTutoring 9 жыл бұрын

BoxingPride If the exponent is less than 4, then use the sequence provided above problem 1a. In other words, you need to know i ¹ = i, i² = -1, i³ = -1 and i⁴ = 1.

@BoxingPride 9 жыл бұрын

Fort Bend Tutoring So why didn't you divide problem 1D by 4? 1D is difficult to understand because what happened to the -1? It's like it just disappeared. Did you use i ¹ = as a fraction, because I think that's what you did at 1d but I want to be sure :) Thank your Mr. Whitt I can't thank you enough! If you have any video other then this that can explain it further... please let me know!

@realcygnus 9 жыл бұрын

priceless content !

@FortBendTutoring 9 жыл бұрын

Thanks 4 watching!

@BoxingPride 9 жыл бұрын

Fort Bend Tutoring Where did you get the positive 1 over i on problem on 1d Mr. Whitt? Do you have a video that explains it more or can you explain it through reply. Thank you!

@FortBendTutoring 9 жыл бұрын

BoxingPride Sure, it's because of the negative exponent. Check out this video: kzfaq.info/get/bejne/oJOlraR0utvSooU.html

@BoxingPride 9 жыл бұрын

Fort Bend Tutoring Thank you so much Mr. Whitt. You helping us succeed! I just have one thing I don't quite understand how you got i over -1 on problem 1d. Do you just carry over the numerator (i) to the next numerator or what? I understand how you got the denominator (-1). I'm catching up Mr. Whitt! I got everything except that tid bit! Please respond when you have the chance! Thank you!

@FortBendTutoring 9 жыл бұрын

BoxingPride I'm rationalizing the denominator. A process that is also used when dealing with radicals in the denominator of a fraction. For more info on this check out this video: kzfaq.info/get/bejne/gsyjfduW3suVc3U.html When we eliminate the negative exponent by placing i in the denominator, we then rationalize the denominator to get rid of the i. For this problem, that means multiplying the numerator and denominator by i. When multiplying, multiply straight across. BoxingPride if you have any more questions regarding this problem or any other, please ask a tutor, your teacher or you can hire us for an online tutorial.

@gaBetibu 5 жыл бұрын

. . . though I just love & greatly benefit from your outstanding vids, Prof Whitt, I sure missed your usual top-notch intro by Ms. Liquor in this one (greatly adds to the appeal & "stay-tuitiveness" for me . . . :)

@FortBendTutoring 5 жыл бұрын

I’ll keep it in mind Glo Amador! However, everything in moderation! We wouldn’t want you 2 get drunk off of Shirley Q. Liquor’s goodness now do we?😎

@danielkayode6870 5 жыл бұрын

Thank you sooooooooooooooooooooooooooooo much

@FortBendTutoring 5 жыл бұрын

Happy 2 help Daniel! Thanks 4 the feedback! 👨🏾‍🏫😀

@eugenelim9737 8 жыл бұрын

god bless you homie

@FortBendTutoring 8 жыл бұрын

Thanks Eugene! Happy 2 help!

@melikesgames5452 6 жыл бұрын

Thank you for another excellent lecture! You make math enjoyable, truly. Question, what device and app are you using to write the math problems?

@FortBendTutoring 6 жыл бұрын

Apple iPad Air and an Adonit JotPro Stylus. Thanks 4 watching!

@trkingdavid4943 3 жыл бұрын

well explained

@FortBendTutoring 3 жыл бұрын

Thanks 4 the feedback! 👨🏾‍🏫😀

@majhoool100 9 жыл бұрын

thank you

@FortBendTutoring 9 жыл бұрын

You're welcome!

@juniorvazquez7988 9 жыл бұрын

You are a wonderful teacher. Thank you so much for sharing your knowledge with students :)

@FortBendTutoring 9 жыл бұрын

You're welcome! Thanks 4 watching! I appreciate it!

@paulio2498 7 жыл бұрын

I love problem 4a!

@FortBendTutoring 7 жыл бұрын

+Paul Green I love it 2 Paul! :-)

@manw3bttcks 7 жыл бұрын

I would think you could introduce computing the cycle of the i by using the modulus of 4 instead of doing all that division (39 mod 4 == 3 and so on)

@FortBendTutoring 7 жыл бұрын

+manw3bttcks You could, but most understand long division already.

@usgaming5193 9 жыл бұрын

Fucking goood shit brotha, taking a important math test today and u are very to the point and easy to understand, thank you ! :0

@FortBendTutoring 9 жыл бұрын

Happy 2 help! Good luck on your test!

@aaronsharna2924 7 жыл бұрын

Great

@FortBendTutoring 7 жыл бұрын

+Aaron Sharna Thanks Aaron!

@carsonjones2505 6 жыл бұрын

Oh god Thank you

@FortBendTutoring 6 жыл бұрын

+The Chicken Happy 2 help! Thanks 4 watching!

@septube26 6 жыл бұрын

The first set of problems, why did you choose 4 to divide everything?

@chantalfoster9517 7 жыл бұрын

for the quadratic equations when the expression doesn't equal to zero how do you know which to add or subtract to both sides? please help. I understand it for the most part it's just that one step I'm trying to figure out.

@FortBendTutoring 7 жыл бұрын

+Chantal Foster Use the additive inverse (opposite) of the terms you want to eliminate to set the equation equal to zero. It's up to you to decide which side of the equation you want to equal to zero.

@chantalfoster9517 7 жыл бұрын

Fort Bend Tutoring OK thank you. but just so I'm clear. it doesn't matter which one I use. correct? thank you so much you're tutorial s has been great.

@staceyreid5054 7 жыл бұрын

"ladies and gentlemen" hahahhaha but hey u helped a lot

@FortBendTutoring 7 жыл бұрын

+Stacey Reid lol Happy 2 help!

@musukaasau5963 7 жыл бұрын

very intresting teach style....

@FortBendTutoring 7 жыл бұрын

+Musuka Asau Very interesting comment....

@leslielin3972 6 жыл бұрын

very interesting answer....

@FortBendTutoring 6 жыл бұрын

Very interesting reply...

@leslielin3972 6 жыл бұрын

lol

@isaiahlopez51 7 жыл бұрын

I love you^i

@FortBendTutoring 7 жыл бұрын

+Isaiah Lopez :-) i love you 2!

@victoriacoffee8213 7 жыл бұрын

The first question why did you get the 4 to divide I am not understanding

@FortBendTutoring 7 жыл бұрын

+Victoria Coffee It's due to the sequence repeating every 4 "i"s and because i^4 is 1.

@spenserprice4177 4 жыл бұрын

Prof. Whitt, I'm working on my teacher exam can you give some method on this exam highly appreciated

@FortBendTutoring 4 жыл бұрын

This may have some problems to help prepare you: kzfaq.info/get/bejne/gLGXpcp1sNmvdXU.html

@stevethompson7613 4 жыл бұрын

How do you solve (sqrt-75)^3? I did the following (sqrt 75i^2)^3, then broke 75 down into (sqrt 25 x 3 i^2)^3, which gave me (5 sqrt3 i)^3. And here is where I got confused

@FortBendTutoring 4 жыл бұрын

You’re on the right track! Cube each part from here. You’ll then need to simplify your result.

@stevethompson7613 4 жыл бұрын

Figured it out........thanks so much for your help. I watch your videos pretty much 7 days a week. You’re awesome......you should consider scribing a math book. They would sale like hot cakes. Most math text books aren’t written very well. I would pay to have all your notes in a pdf format.

@FortBendTutoring 4 жыл бұрын

That’s a great idea Steve! Check this out: shop.tutormemath.net/

@gregl2249 10 жыл бұрын

pls solve some problems adding and subtracting radicals and imaginary numbers---for ex.the (sq root of 2 minus one )^2 THANK U AND JUST WANT TO SAY I LOVE THIS SITE AND HAV SUBSCRIBED ALREADY---U REALLY HAV A GIFT OF EXPLAINING EVERYTHNG WELL ( I am an adult returning to college)-oh , and I have the answer to the above expression but do not know how to solve---the solution is 1-2sqrt2i

@FortBendTutoring 10 жыл бұрын

Ok, we'll add those types of problems to the list of "videos to do". In the meantime, the concepts taught in our "Adding Radicals", "Subtracting Radicals", "Multiplying Radicals" as well as this video is all that is needed to solve problems such as this.