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Multiplication and Division of Small Numbers 

Professor Dave Explains
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What came next after addition and subtraction? Why, multiplication and division, of course! Multiplication is kind of like addition, really. In fact, it's just repeated addition. Take a look at this early innovation in arithmetic, and the properties associated with these operations.
Watch the whole Mathematics playlist: bit.ly/ProfDaveMath
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EMAIL► ProfessorDaveExplains@gmail.com
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27 июл 2024

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Комментарии : 217   
@jayw8726
@jayw8726 4 года назад
I wanna learn Calculus. But somewhere in Grade school I missed catching up Math. So Im gonna start here.
@juffler463
@juffler463 2 года назад
Same
@ronn0verse
@ronn0verse Год назад
Thats totally okay. This means we are determined 😊
@Loveyouuuubut
@Loveyouuuubut Год назад
Me too!
@flori9966
@flori9966 Год назад
Same
@mmmmmmok5292
@mmmmmmok5292 Год назад
wholesome
@gabriels2395
@gabriels2395 6 лет назад
It's known (largely, I hope) that in order to be really good at something you should master the basis of it. The fact that you start from the very basic without going into too much detail (for which there are other valuable resources, I can think of one, at least!l) is really appreciated. This way you can make sure that you don't have math gaps not only practically but conceptually. *Thanks a lot* again!
@michaelborisow815
@michaelborisow815 3 года назад
Where are you now? Did you pursue it (tackling the basics) as much as you had hoped? If you didn't, do you regret not doing so?
@sohailshaikh3558
@sohailshaikh3558 Год назад
@@michaelborisow815 Dude Became successful he got a interview Coming 🙂👍🏻
@TrollerStickNodesPro
@TrollerStickNodesPro 4 дня назад
21 × 32 = ?
@TrollerStickNodesPro
@TrollerStickNodesPro 4 дня назад
Somebody answer that
@belle-pt2fy
@belle-pt2fy Год назад
i dropped out in 7th grade due to bullying and undiagnosed mental disabilities, despite being a “gifted” student. i always loved math but as the years went on, i felt more and more hopeless about getting back on track. i’ve been going through these videos and taking notes, exercising my brain and understanding things i could never get the hang of then. i just want to say thank you. my love for learning is so strong and this has given me proof that it’s never too late. this means very much to me
@likedvidsz
@likedvidsz Год назад
are you back in school?
@anuradhamondal1601
@anuradhamondal1601 Год назад
❤ more power to you!
@digitalgameandtech3232
@digitalgameandtech3232 10 месяцев назад
I see I'm also losting concertation on maths I'm also trying to get back to track
@wonwon5992
@wonwon5992 2 месяца назад
I dropped out in the same grade for the same reasons! all the luck to you, were going through this journey together
@belle-pt2fy
@belle-pt2fy 2 месяца назад
@@wonwon5992 best of luck to you as well 💞
@yuinurahilyon5711
@yuinurahilyon5711 4 года назад
Me calculating a formula: Damn this division is annoying. Let me just use a calcul- Professor Dave: 5:12 Also me: Nevermind...
@jsc0625
@jsc0625 3 месяца назад
Yeah I needed to hear that, I’ve gotten too reliant on calculators 😅
@RandomPerson-V
@RandomPerson-V 19 дней назад
5:10
@8sztike8
@8sztike8 3 года назад
WoW I can't believe I haven't find you earlier! I always had a scientific mind, but I was born in a non English speaking country. Even though I studied English, higher level maths and other science was still pretty hard to understand, therefore I had to learn everything from basics again in English. If I've found this series earlier, it would have saved me so much time and headache! Thank you very much for your work, it's still useful and I'm sure I am not the only one who appreciate it! 😃
@1gianny
@1gianny 2 года назад
I learned all this back in elementary school, I wish I had continued with math in high school and then Uni. Here I am now, at 23, trying to learn math again, because I realised what I missed out on by hating math so much in school, yet I had very good grades...
@aloof1279
@aloof1279 9 месяцев назад
...same 23 n starting from basics.... May we be successful in achieving this goal.
@Asurendra117
@Asurendra117 7 месяцев назад
​@@aloof1279I'm 20 and currently relearning everything from the basics. I want to become a data scientist.
@nero5971
@nero5971 7 месяцев назад
Also 23 here it’s all a mindset, we can do it
@heartkiss1489
@heartkiss1489 3 месяца назад
​@@Asurendra117 I know replying to this four months later probably makes me late, but that's extremely admirable!!! And this comment made me feel better that I'm not alone in relearning basics, I'm 16 and really want to be good at physics to major in aerospace, so I'm just testing out my current knowledge! Let's not give up!! 😁
@rahelandebrhan9528
@rahelandebrhan9528 Месяц назад
And i'm 29 who is starting over with math now with a purpose to understand all, any advices on what could help?
@sakshamgoel1957
@sakshamgoel1957 7 лет назад
Professor dave you are great strating from basic, hope we will reach master level in some months
@zunaslogic4128
@zunaslogic4128 3 года назад
Why are some people being mean in the comments? It's literally stated that it's math from scratch. We get it. You're already geniuses. You can just skip the basics if it bothers you that much smh
@qieenalubya
@qieenalubya 6 месяцев назад
I always label my self as dumb because I've been missing out the basics so much that when in high school I just be there in math class just to stare blankly, I know I don't hate math, but I think I do because I don't understand it. I'll learn it starts from the ground, thanks to you, your videos are blessing
@user-cy7rv8ux8z
@user-cy7rv8ux8z 6 месяцев назад
Well as the master said, without a proper understanding of the fundamentals, one would be too focused on memorization
@isidoreaerys8745
@isidoreaerys8745 3 года назад
Whenever I do mental math I doubt myself so I repeat the operation which develops into a phenomenon of jamais vus and I end up having to build a proof, and invent mathematics for every homework problem. Mathematics to me is very abstract. I have a semantically oriented memory which organizes ideas by meaning rather than by rote
@doriantietz2222
@doriantietz2222 3 года назад
Wow I can really identify with that and this perfectly discribed how I felt all along. I have just never been able to understand and discribe this difference in approach and how it made maths hard for me even though I thought I wasn't incapable of comprehension. Cheers.
@isidoreaerys8745
@isidoreaerys8745 3 года назад
@@doriantietz2222 why thankyou. In my writing I have always prioritized precision over humor or being widely understandable. It is validating to hear that others can identify with it.
@isidoreaerys8745
@isidoreaerys8745 3 года назад
Unlike dejavú which is widely understood and Presque vu which can easily be translated Jamais Vu is not vernacular English in any social circles i have encountered in the US. I felt French was necessary to describe the way that the more I repeat a mathematical operation the more meaningless it becomes. Just like someone can repeat the word “for” and after a number of times cause it to cease having any meaning and be incapable of understanding it until they think about something else for a while.
@shinluis
@shinluis 7 лет назад
YOU'RE SAVING MY LIFE MAN!!
@yourmom-nv9ui
@yourmom-nv9ui 2 года назад
You don't know how much these series help us 😟😟 I am so thankful sir Dave you are not only smart intelligent ,entertaining but also very kind 💕💕💕
@Qazqi
@Qazqi Год назад
As much as I'm generally against rote memorization instead of remembering the easily memorable things and relying on logic to get to the result (until I do it frequently enough that it's worth memorizing directly), I cannot overstate how helpful it was to get the table up to 10x10 drilled into me (actually 12x12, but past 10 is far less fundamentally useful). Knowing how to get the answer is the most important part, but this specific table is used so frequently that it's incredibly worth having the answer be instant, and that also opens the door to doing less trivial mental arithmetic with more convenience than pulling out a phone.
@CesarClouds
@CesarClouds 2 года назад
My second video in this series. Going to watch the whole thing.
@Cherry-qs9rh
@Cherry-qs9rh 6 месяцев назад
i just came here to learn it again. since i was middle school i didnt catch up math due to my hearing loss and wont be able to hear the teacher so i cant listen it to her until after i graduate on k12, so i just came here to learn division and others so i can memorize it i have more time to study at home so im hoping i can pass the university exam in college..
@hannah-iu1wv
@hannah-iu1wv 10 месяцев назад
Thank you for your videos and I appreciate the way you teach! It feels like I can finally understand. I can't ask questions in class without getting made fun of by peers for being " slow". I even notice my teacher getting frustrated with me because I don't learn "fast" enough.. I don't want to not raise my hand out of fear for being ridiculed, I just want to learn like everyone else.. I'm so glad I found your channel, and i'm genuinely thankful.
@DustyKeyboardahh
@DustyKeyboardahh 7 месяцев назад
theres no correct way to learn maths, and so there is no perfect speed to learn maths at, its better to take your time and understand fully rather then not doing it
@khaizharris
@khaizharris 3 года назад
I’m a senior in college. A philosophy major with a minor in chemistry about to graduate and I’m looking for a better foundation to understand Calculus applied to Metaphysics and Dimensional Reality. Refreshing my mind with the basics
@jana2380
@jana2380 6 месяцев назад
Thanks a lot Dave. May all your wishes come true
@maizietanner5827
@maizietanner5827 3 года назад
You deserve the entire world 🙏 I also like ur cool editing, it brings a nice touch to the video 👌
@melinaalba63
@melinaalba63 8 месяцев назад
Thank you for this! I am 24 and in uni for an engineering degree and while i live maths i have realized many times that i just dont have a feeling for it. I even start questioning why, when you have want 15 apples and each basket has 5 you have to divide 15/5 and get 3. I can do that and many other calculations but i just take so much time for it. I really hope with working through this playlist i will finally gain an actual feeling for math
@DustyKeyboardahh
@DustyKeyboardahh 7 месяцев назад
it's normal for the human mind to wait and calculate, like he said practice makes people better! :) I hope u have a great start!
@pickle5337
@pickle5337 2 года назад
this is my second (math) video from you, i plan to learn all of math :)))
@AirmanCS
@AirmanCS 3 месяца назад
I'm first gonna admit I feel like the biggest nerd ever, but something about how you introduced math, and how we as humans have been collectively trying to use it to abstract the world and how many didn't get it(like me I'm here to learn calculus but from the start bc my education was very lacking on math, even tho I have managed to understand much of it by brute force), or got frustrated with it in the past, but regardless manage to keep solving the world, brings tears to my eyes(literally) bc now I feel I can finally understand, idk was a bit touching like, feeling I can be part of it somehow? That out of the way I think you explain exactly like I needed it to be explained with grounding on the real world. I come from the first video on the calculus playlist and it just blew my mind open, I need to see this whole series now...
@fabricioperez6957
@fabricioperez6957 4 года назад
There is no doubt, Dave is incredible!
@cinammn_bba5640
@cinammn_bba5640 4 года назад
Thanks, this helped me out a LOT
Год назад
I am 30 but I still enjoy the effort you put into these videos, making all look simple. Looking forward on checking full course. :)
@dr.satunkina
@dr.satunkina 6 месяцев назад
These classes help me improve my English vocabulary because my native language is Russian. I started teaching about 1 year ago, and now I can understand simple videos. thanks! ❤
@dehondvandeburen7800
@dehondvandeburen7800 29 дней назад
Хаха удачи! Мой родной язык это голландский и я благодаря изучению русского языка понял что мне нравится учиться.. Я только ходил в школу до 15 лет и никогда не учил математику в школе так как ходил в школу для долбоёбов лолол так что взялся за математику и биологию и одновременно пытаюсь подучить английский немножко)) надеюсь на то что через года 3 буду знать математику на таком же уровне как русский и что я через 3 года будучи старикои (мне сейчас 33) наконец-то смогу поступить в университет
@Oppostionj_891
@Oppostionj_891 11 месяцев назад
This is somewhat entertaining I love this video I have been having problems with math and now I am able to understand because of you thank very much ❤
@maggie3315
@maggie3315 3 года назад
Professor Dave I love you . You are making me beome a math wiz 👍
@KarmaPlayzZzYT
@KarmaPlayzZzYT Год назад
Ur videos making meh more intelligent it's improving my English+maths thankyou so much
@adeelahmed6252
@adeelahmed6252 Год назад
Sir your playlist is awesome
@ramaalcoutlabi4510
@ramaalcoutlabi4510 Год назад
The way you do it is just amazingly simple And simple is genius Thank you
@Jasmita-8
@Jasmita-8 Год назад
Thank u very much for the awesome vid professor Dave ! Lov it !
@giorgikourtanidze3027
@giorgikourtanidze3027 3 года назад
I am learning Civil Engineering, but i messed up horribly with mathematics, soo thats my go to channel. Lets start from basics!
@JonPri1
@JonPri1 3 года назад
Thanks for making the video. It helped me a lot.
@ReimskyToussaint
@ReimskyToussaint 4 года назад
Love the rant! GOAT video. Respect!
@davidjohansson7646
@davidjohansson7646 2 года назад
I comprehend commutativity in math as driving to town. If you commute then you will experience a drive-by, thereby numbers that are commutative change order without problem. And associative operations are like friends giving a hug. If you have two associative numbers that means they have no problem beeing in a (😊😊) during that operation. Hope I got that right 😅
@rochelroma180
@rochelroma180 4 года назад
thank you so much professor dave
@harounerachidhassanissadia4088
@harounerachidhassanissadia4088 3 года назад
THANKS, IT REALLY HELPFUL
@Manuel-wq5fs
@Manuel-wq5fs 12 дней назад
Thankyou Mr. professor Dave for the class❤
@emperorpestcontrol
@emperorpestcontrol 2 года назад
Thanks!
@MidGeo
@MidGeo 6 лет назад
Its really useful.
@thorolas8384
@thorolas8384 Год назад
Just something i realised lately, the reason we say that 3x is a multiplication not anything else seems to come from the language, when you say you have three apples it means you have 3 times of an apple
@anthonystark6215
@anthonystark6215 Год назад
Thank you, professor!
@P_Ahmed_P
@P_Ahmed_P 10 месяцев назад
big thanks
@Yunessa02
@Yunessa02 2 месяца назад
I start learning mathematics today from your channel I'm not very good at maths ,math always my lower score even tho i really want to learn it i can't seem to find a way understanding it but today i decide to learn from this channel and its helping me understand very clear Thank you so much 🥺
@cix9420
@cix9420 6 дней назад
finally, a full math course starting from absolute basics without treating you like you're 5 years old
@fished_
@fished_ Год назад
I didn't really learn anything in grade 6 and 7 because of covid and health problems and I'm in grade 8 now. I'm kinda failing math so I decided to just start from the beginning again.
@messaikaterina1993
@messaikaterina1993 3 месяца назад
The best teacher ever!!!
@tGoldenPhoenix
@tGoldenPhoenix 3 года назад
thank you
@Rileyitokimjoycommenter672
@Rileyitokimjoycommenter672 3 месяца назад
My cousin introduced your channel it has helped allot I'm a graduating student so I'm gonna be at junior high and thus channel made it possible 😊😊😁
@richdevil5816
@richdevil5816 3 месяца назад
You are wonderful great Prof!!
@loremaster63
@loremaster63 5 лет назад
I will never forget the face🤣
@Jay42424
@Jay42424 25 дней назад
thank you professor dave!!! 💗
@cptray-steam
@cptray-steam Год назад
Mental division with large numbers is very hard for me. And even with some relatively small numbers like that 24/8 equation. I had to use my fingers. I should probably memorize the multiplication table before I watch the next video on fractions. Because I suck at fractions...
@followmePeeps
@followmePeeps Год назад
Day 1 on re-learning maths.
@delliahman
@delliahman Год назад
good luck
@followmePeeps
@followmePeeps Год назад
@@delliahman thank you, you just made my night with your warm wish. Hoping and looking forward to becoming an expert in problem solving! And goodluck to you too if you're doing the same.
@delliahman
@delliahman Год назад
@@followmePeeps yup, learning the basics of math after understanding nothing on quadratic equations
@followmePeeps
@followmePeeps Год назад
@@delliahman it will take some time but keep going.
@eliasretreat
@eliasretreat Год назад
Awesome, thanks.
@ndukamomah3617
@ndukamomah3617 5 месяцев назад
OMG you are Incredibly smart
@sankhayanbhaumik6452
@sankhayanbhaumik6452 3 года назад
Thank you so much sir......
@AbdulRehman-qm7el
@AbdulRehman-qm7el 11 месяцев назад
This face will be remembered my whole life . Thanks for the motivation man 🎉😂
@gajendernegi6702
@gajendernegi6702 3 года назад
Thank for video is help the maths work
@Uonlyshootonce
@Uonlyshootonce Год назад
another great video.
@sarataha3258
@sarataha3258 4 года назад
thanks a lot MR dave (:
@Yousef-wq6dm
@Yousef-wq6dm 2 месяца назад
you are such an incredible teacher. never realized i could use division in that context w the apples and baskets lol
@Desolateserenity
@Desolateserenity Год назад
His face was epic😂😂
@masoodhosseinifard4178
@masoodhosseinifard4178 Год назад
Perfect!
@nupur-16
@nupur-16 2 месяца назад
This video is helpful.
@oj495
@oj495 5 лет назад
Thanks alot. Please make the video in Italian language for the kids to have the best understanding.
@user-rn1jd9iy4u
@user-rn1jd9iy4u Год назад
thanks for that
@NabiruBogdan
@NabiruBogdan 8 месяцев назад
Love it
@herbcookie1338
@herbcookie1338 3 года назад
Thanks so much my mom said to watch these vids and helped me slots!
@herbcookie1338
@herbcookie1338 3 года назад
Alone I mean
@AnweR-AmmaR
@AnweR-AmmaR Год назад
Lot's of love from India 🇮🇳❣️
@Emily-qt1jb
@Emily-qt1jb 3 месяца назад
Perfect
@strawberryworldtv1676
@strawberryworldtv1676 3 года назад
Where the .5 come from for the division of 10÷2÷2? When I worked out 5 ÷ 2 I got 4 remainder 1 yet the calculator says otherwise
@samdevatechno
@samdevatechno 2 года назад
5/2 is 2.5 only.it's right there.
@jabeskumar4942
@jabeskumar4942 Месяц назад
Awesome
@jafar4261
@jafar4261 3 года назад
been in 2nd year at geophysicst engineer, but i need beter foundation to my discipline.
@highnourishment4751
@highnourishment4751 4 года назад
Free education baby!!!
@CromwellEdonis
@CromwellEdonis 2 дня назад
Professor Dave catching you lacking be like: 5:11
@TehDanno1
@TehDanno1 Месяц назад
While memorizing times tables, is overall more efficient. But being able to stack those numbers in your head while takes longer proves you actually learned your times tables and not simply remembered them.
@Cecilia-lv1lt
@Cecilia-lv1lt 5 лет назад
i like your vidio
@salonijain2207
@salonijain2207 4 года назад
sir u are great n
@Muddu_1_4_3
@Muddu_1_4_3 9 месяцев назад
Same here
@MrNaufan
@MrNaufan 3 года назад
i wish i learned this back in elementary school.
@Anishkasalaria127ism
@Anishkasalaria127ism 3 года назад
Can you make one video of multiplication
@ProfessorDaveExplains
@ProfessorDaveExplains 3 года назад
That would be this one.
@FlatEarthKiller
@FlatEarthKiller Год назад
2:48 forgot to remove extra basket
@cyberanthrax1114
@cyberanthrax1114 2 года назад
im literally watching this just for the sake that i love math
@leoleondre2425
@leoleondre2425 3 года назад
5:10 that really is gonna pop up!
@UltraIceMan275
@UltraIceMan275 7 месяцев назад
Bro, it took me until 3rd grade learn up to this piont normally, and I would have relearned it in just 14 minutes
@sergioalvarez3695
@sergioalvarez3695 6 месяцев назад
Nice, Job, I am a teacher in elementry school in Mexico, I want to innovate in bilingual clases....
@StevenSchoolAlchemy
@StevenSchoolAlchemy Год назад
im here to brush up on mathematics!
@Rose-uo9ci
@Rose-uo9ci 4 года назад
I shall remember your face at the very moment i tried to rely on a calculator😂😂😂*screenshot obtained*
@sandmill93
@sandmill93 4 года назад
Forgot to say that Math it's fun! 😁
@gingercatboy4146
@gingercatboy4146 8 дней назад
Gosh... I lost math around 2d grade in Ukrainian school. My first teacher was ignorant twords my understanding so she just didn't care about me, and she focused on thoes who understand everything she says. I didn't understand math since then. After some time i understood basic concepts. I can multiply. But i can not just devide. I just can not comprihand it in timely manner. It takes me 5 minutes to subtract and devide somethung as easy as 567/23 i just can not understand it somehow. I need help 🥲 im way too old to not understand such concept as deviding two numbers.
@letshealtogetherllc
@letshealtogetherllc 2 месяца назад
Checkpoint :)
@davidzubiria3783
@davidzubiria3783 2 года назад
it appears to me that division it´s more intuitive than multiplication and must have been first in history. Even if for a few minutes or seconds.
@jaysonsk
@jaysonsk 2 года назад
i've always found multiplication more intuitive. division used to give me all sorts of problems
@davidzubiria3783
@davidzubiria3783 2 года назад
@@jaysonsk if you make complex division, yes. But in a primal state, the act of sharing something for example, distribute, etc its more useful I guess. that's where I'm going.
@jaysonsk
@jaysonsk 2 года назад
@@davidzubiria3783 it makes sense, I was just never able to wrap my head around division as a child. Maybe I was just super greedy, lol
@Tom-cu5ym
@Tom-cu5ym Месяц назад
Favorite multiplication equation: 8x7=56
@ljr6490
@ljr6490 Год назад
I like how non-condescending this is
@sauhardpandit4081
@sauhardpandit4081 Месяц назад
I think Terrance Howard needs to watch this video
@jmmjjmmj8994
@jmmjjmmj8994 5 лет назад
great channel for kids.
@ProfessorDaveExplains
@ProfessorDaveExplains 5 лет назад
keep going through this mathematics series, i cover all the way up to most of an undergraduate mathematics education.
@andreeaandreea2796
@andreeaandreea2796 4 года назад
Sadly, it's not usefull just for kids "for kids". There's plenty of adults who can't do 2+2*2 or 1+1+1*0.
@jmmjjmmj8994
@jmmjjmmj8994 4 года назад
@@andreeaandreea2796 Sorry, I forgot about flat earthers.
@ilysabocrie2826
@ilysabocrie2826 Месяц назад
Going to college after being out of HS for 4 years. Starting here cause I’m scared of how much I don’t remember
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