Addition and Subtraction of Small Numbers

[@jlj4250]

I'm 26 turning 27 years and this is the start of my journey to becoming a chemical engineer. Going back to the basics and work my way up. Never to late to start👊

[@tylerisntasheep6854]

good luck friend!

[@zarahesari5599]

Same

[@jazz5302]

how is it going?

[@JustinDhananjaya]

@@jazz5302 🤌🏻

[@LeiaKoneia]

How's the journey?

[@dontbotherme-asnc]

I know this is 'easy' stuff. BUT this is why I believe I need this. I was belted and shouted at so many times in all the years of maths (at school) for asking for things like where did maths come from, fairly basic questions for kids you'd think It actually makes recalling how to add and other basics really hard under pressure (like when there are fractions or any conflicts in the room!) because of the many teachers who had nothing to give because they in turn had also been badly taught. It's resources like this video where maybe there is a chance that I too am allowed to know some of the mysteries of the universe that educators of several generations in the last century made sure to deny access to.

[@Ribula1]

I started my journey in math last year after finally defeating my childhood traumas associated with it. I finally discovered how magical math can be and I'm so in love with it. How is it going for you?

[@coco_maroco]

@@Ribula1 Wow and are you good at it after defeating the childhood trauma? I'm curious. I've had bad experiences with math too for my whole life due to the pressure when I was a kid, but also because I didn't care about school at all back then.

[@archockencanto1645]

This video doesn't cover the basics at all. Or rather, it only covers the basics and NOT the fundamentals. No great mathematician would ever learn/understand numbers like this. The first question that arises is about the nature of quantity, then digits, place value and so on. These are the fundamentals which no one covers with the detail that they deserve. This half-assed, lecture/information/rule based teaching and learning is the primary cause of failing at higher levels since the fundamentals aren't undestood. It took me an effortful and strained 5 hours over 3 days to fully understand what I just mentioned here, yet it's treated as some random thing. In fact, you cannot truly understand addition or subtraction without them. You can only practically utilize numbers, but you will never understand them. Conflating practical utility with understanding is a huge error made by nearly all. All that's to say, my friend... You need to look even deeper than this. You will NOT understand Mathematics like this. I've fallen for this trap earlier on as well. I've also had trouble with fractions or hell, even division. All because I didn't understand things properly, only at a utalitarian level (as is taught in all textbooks and schools). I hope you delve deeper and improve, math is quite amazing when learned properly and when explored and not glossed. Good luck :)

[@rawrxdluv]

@@archockencanto1645 I'm curious to know if you'd be willing to make a video and show how you would teach math so maybe others like myself can understand your way especially since you said this video was not too helpful in some areas.

[@archockencanto1645]

@@rawrxdluv Well, alright. I'll make a video on numbers and arithmetic. You'll have to wait a month or two though, till I figure out how to use animation softwares and til I get free time.

[@ResilientME]

This series is much appreciated, you put in that perspective and rhetoric most teachers assume un-necessary. I'm starting rather fresh having forgotten most everything post elementary school due to injury; I'm starting right here at the beginning for completeness sake. Hard to know what you've forgotten until its sat in front of you equal parts familiar & new.

[@nathannormal_2]

I too am studying mathematics, albeit for a different reason. In the past, my instructors failed to cover fundamental concepts and instead delved into advanced topics. While I don't hold any animosity towards mathematics, I received insufficient assistance to progress with algebra. I hope you are able to acquire a thorough understanding of mathematics.

[@JaneCooper190072]

I'm so so weak in mathematics. But I want to get a good job and most interviews want you to do a math test, and they're not always easy for me. Thanks for making these videos.

[@c.5439]

good luck!

[@Kid98.]

Let me know when you you're employed.

[@anub1s954]

@Dnomyar Akunawik All we need is a good teacher to sit with us and explain it step by step as a process and most importantly: Do a lot of math exercises from say school text books ;)

[@kartikahluwalia4795]

@Dnomyar Akunawik never say your bad say you lack basic knowledge

[@chaoticdetectivepeach]

​@@kartikahluwalia4795 🎶Because I'm bad, I'm bad, shamone (bad, bad, really, really bad) You know I'm bad, I'm bad (bad, bad) You know it (really, really bad) You know I'm bad, I'm bad (bad, bad) Shamone, you know (really, really bad) And the whole world has to answer right now Just to tell you once again Who's bad?🎶

[@Uonlyshootonce]

going on 25 and always had a hard time with math glad to see you making it not to kid friendly while not to serous, a real good video.

[@fiddleriddlediddlediddle]

You might think that because this is Kindergarten math it might not be interesting, but when you learn it in Kindergarten they don't explain the "why" to ANYTHING because you're a stupid, wild child who needs to be bribed with gummy candy to sit still and do your homework. Explanations go over your head. By the time you're old enough to comprehend any you're already out of school and so unless you refresh yourself it remains unexplained. All of this means that, even though I know what 2+2 is, this is still blowing my mind. Explaining what equation means, WHY something subtracted by another is what it is, instead of just saying THAT it is, all of that and more is completely glossed over when you first learn it. Learning it for a second time here is, again, blowing my mind.

[@Wishfull._..Editor57]

What r u on about they always told us why its 2+2

[@samhodge7460]

Even this video on the simplest of math concepts is filled with brilliant perspective and insight. I never applied myself in school ages ago, but I have recently taken an amateur interest in physics. Rather than make any assumptions about how well my memory is working, I figured I'd start at square one. This series is exactly what I hoped to find. Thanks!

[@greenapple694]

Im like you but in the future

[@Zoonofski]

~Studying physics at university. ~Realises for the first time subtraction is not associative. ~Mind explosion.

[@sams_3d_stuff]

TRUE !!!!!!!!!

[@anonymous.youtuber]

Same here ! One can always learn something.

[@Zoonofski]

@Hakob Y. Still in first year haha, though to be fair I did drop out of high school 17 years ago

[@FerretWarlord1]

In fairness, once you get a ways into math, you begin seeing subtraction less as subtraction, and more as adding negatives. I can see how that would make it tricky to realize something like that.

[@ridgemannikko1045]

@@FerretWarlord1 I know this is years old now, but this is the only comment about this. I'm pretty sure subtraction is associative, because for his bracket to be right it'd have to be -1(3+2) or (-3-2)

[@abdessatarmessaoudi8218]

I'm originally Arabic from Tunisia and i get out of school long time ago and i couldn't do anything in my life and now im thinking to Go back and enroll in an online high school and since that's possible only if u speak English i have to start many Curricula and materials fro scratch....i really appreciate this channel and special appreciation to the professor... thank you sir i hope one day i get my high school diploma ....shokran❤

[@itiipau]

Thanks for trying but I'm just gonna accept I'll never understand math

[@sandracunha6592]

I'm tired of being dumb, so imma watch this teacher's whole series and put some effort into it. Wish me luck friends

[@farel9476]

How does it goes? Im watching this series for the same reason

[@observingatoms]

Its not coming full screen in my device. Is it coming in yours?

[@Nazia87_]

@@observingatoms yes

[@lstudios3237]

How'd it go

[@7rathagreat]

😅 same 😢😂😅video 1 3:16

[@JohnnyElihue]

Thank you so much for explaining this from the beginning. It seems to be something that no ones wants to do or put into words.

[@davidallyn1818]

Even as a data scientist and analyst, this is good to remember the beginning!! Thank you!!!

[@CaddySPN]

I really want to thank you Dave, what you are doing is truly amazing. I started understanding math even though I disliked it all my childhood. Great job!

[@sakshamgoel1957]

I will be watching complete series hope it gets me a bit higher grades in maths

[@lostmeinspace]

saksham sure it will

[@ilovechocolatedud6404]

@kastimpa hili I want to know too

[@mxhell3867]

Same

[@k_kubes]

@@ilovechocolatedud6404 i too

[@malms4026]

Did it work?

[@cptray-steam]

My Plan? Learn all of mathematics, learn all of physics, build my own spaceship, fly around the Earth, have fun. Will it happen? Probably not, but time can only tell. Interstellar here I come.

[@stevejones9572]

This lesson was a bit to difficult maybe we should step it back a bit.

[@ProfessorDaveExplains]

hah!

[@treehouseaanimations9697]

@@ProfessorDaveExplains has

[@AlexA4]

😂

[@phoenixxam5812]

@Avisha Jain hi 2021 commenter

[@phoenixxam5812]

@@AlexA4 hi 2021 commenter

[@Controllingpanel]

I was going to skip over this video because i already know basic arithmetic but i still ended up learning something new here. Many thanks.

[@Jay-pc2ev]

4:53 omg I’ve been doing this wrong my entire life!!!! Its so easy just count the difference from the higher number to the lower number, wow I’ve been trying to subtract long subtraction in my head this entire time now I can do it in 10 seconds I’m 23 and look at there’s still things you can learn even at the basic level thanks!!!

[@SpaceWitchJack]

So I failed every math class growing up, and in my 30s I decided to take it up and, wow even here I learned something new. Thanks Dave!

[@kirccy.mp3]

Thank you teacher Dave , I finally see hope of learning maths with interest and ace it. I'm currently in 7th class, maths has been very difficult for me since pandemic has striked and I never understood anything. I think it's not too late to start again ! I'll update when I'm good in future ❤❤

[@averystevenson7155]

Keep at it little dude. I'm doing the same thing and I've already graduated high school. It's never too late!

[@paulwozere]

This set of lessons is going to be so helpful. As someone who left school so many decades ago and needs to be reminded of the basics again.

[@Illusion1Ly45]

Im a sophomore in highschool rn, i missed many years of elementary school and middle school math nor understood cause i moved countries at a young age and i dont even live in a english speaking country nor did i come from an english speaking, ive missed alot of math which is why im horrible snd worried about my grade and i hope this video can help me get better and i will be starting watching the playlist from this video to the 61st video on the playlist, its summer rn aswell meaning i have alot of free time and this is perfect, ive had tutors but they never really helped me but i hope this playlists helps and saves my math grade and my grades will be alright and i wont stress as a result and everything is going to be okay cause i wont give up nomatter how long this will take, thank you for making this playlist and helping others with math 🙏

[@shytomat0]

I relate to this so much.... moved to another country in middle so I struggled because I couldn't speak or understand the language. Even though I already graduated high school I wanna study and actually understand math before going to college

[@jjwrk]

How's it going?

[@ElPurroco]

I m learning more with these videos than 3 years of college math !!! thank you professor Dave !!! you are the best teacher there is !!!

[@davidrobine5350]

I’m just starting out with this series. I’ve been through college algebra/trigonometry formally and used trig and algebra fairly often in my career. Now, I’m retired and trying to brush up on my science education, but I find things either too simple or I don’t understand the math. Hopefully, I can get refreshed back to where I was, though it was 35 years ago, and go beyond. I’ve always found calculus a bit mystifying, as well as anything beyond. But, I like your style of explanation, and find I can understand what you explain pretty well. Thanks in advance, Dave!

[@ProfessorDaveExplains]

Just go through the whole series bit by bit and when you get to calculus it'll be no sweat I promise!

[@RasakkemiGloria]

I wish my self good luck because am gonna try and study all the whole series 😊

[@sunnywunny]

thank you for being such a great explainer, even down to the simple things like this i have a lot of pressure to be smart/do well on testing because i am relatively smart and do exceptionally well on testing but im at a point where i havent learned what im being tested for but to learn it i'd need to learn the fundamentals again cus my brain is wacky im going to watch this entire math series so i can better understand your other courses/playlists rather than trying to pick up algebra after forgetting everything beforehand unless forced to remember during testing

[@kb9998]

Good teachers and content is so needed on TV. With out STEM we can't advance and solve the worlds big problems

[@night_city_nights]

Thanks for this Dave. Don't know how far I'll make it, but it would be super awesome to end up understanding your modern physics course some time down the road after starting here. Thank you for helping spread knowledge for free!

[@stephenjay7767]

Yay I'm learning

[@robpatterson2861]

This is so awesome! I love it! I love learning math skills all the time, because you have to go back all the time and review. Good job dude! ❤

[@DanielaCom-g6h]

I've had a Iffy highschool education definitely watching the whole playlist thank you

[@godisonelove3557]

As an Indian, I thank you for these lessons! No one in India teaches Maths like this. And just because I never learnt the core concepts I always hated Maths. I always found Maths pointless to learn. But when I grew old and after I realised the universal nature of Maths, I have decided to relearn the Maths. Glad, I realised the importance in this lifetime. Really glad!

[@messaikaterina1993]

Thank you for this wonderful lesson! For now I understand everything 😁 seriously, the best teacher ever!

[@qisuaraazdi9126]

And because multiplication is a repeated additions, it inhibits the commutative and associative properties, and the same goes for subtraction and division, division does inhibit the properties of non-commutative and non-associative of subtraction. Thanks Professor for the tutorial.

[@ProfessorDaveExplains]

don't get ahead, that's coming up next!

[@qisuaraazdi9126]

Professor Dave Explains Maybe I was a little bit excited lol. We're awaiting for what's coming up.

[@marieridings7672]

Thank you so much for these videos! Exactly what I was looking for. Very much appreciated. Thank you for doing these.

[@bossjihyo2276]

I have always wanted to get into aviation, but my lack of fundamentals has always held me back. I believed I hated maths, but I actually don't. I hate the way math was explained to me. Time to start from zero.

[@hasibulalamprionto2010]

Very much thankful to you for this kind of most essential series! May god bless you!!

[@judgem0rt1s23]

5:34 "Subtraction is not commutative" THANK YOU! I was worried you were going to teach that BS they added in schools

[@WillCrawford0]

to be fair to subtraction, if you write it as a + (-b), it magically is :·)

[@phantomkapok]

this helps so much you have no idea, not sure if it's because of amnesia from a thing i have but i never learnt what that hopping arrow thing was supposed to actually be and it drove me crazy that it never got explained properly it makes SO much sense now thank you

[@WilburPurtell]

You have a knack for making complex ideas simple!

[@noobypro6993]

I love you bro. Im studying for my GED and you are the holy grail i need. 👍🙏

[@Io.Generals]

im starting this whole course, i had some past experiences with maths but nothing outstanding, i will keep you updates how it goes. psa- i will spend 1 hour every day.

[@TonyBarrett-r9d]

This was super helpful, much appreciated!

[@ajazmasood3862]

Thanks a lot Professor Dave. Wish we had wonderful teachers like you back in school days. God Bless You.

[@learner-k84]

شكرا سيدي على المعلومات رغم أنني اعرفها الا أنني عرفتها بفضلك ...قد يبدوا هذا التعبير غريبا لكنه يعكس ما شعرت به فبعد مشاهدة مقطعك أحسست بقيمة مضافة تختلف عن المعرفة التي كانت لدي حول الموضوع.....شكرا مرة أخرى❤😊

[@chansaotnlifestyle3972]

Thank you so very much, i completed high school five years ago but the introduction of mathematics and the addition and subtraction woo thank you. I am here to stay and learn more.❤

[@onisa80]

just started this series and i am very excited to see how far i'll be able to go

[@webevelyn]

YOU SAVED MY LIFE, THANK YE

[@shaaronie]

OMG! This kind of stuff always gave me an instant headache and now I can't wait to get to the later chapters! Hooray!!!

[@6PathSage]

You gotta start somewhere, why not at the addition and subtraction of small numbers? Solid choice my man! 👍🏻

[@UltraIceMan275]

For me, I am trying to learn where it all went wrong

[@Sreepaxvthxy]

Me too !! Hope u found ur answers

[@kenzoetheveganlover4685]

@@SreepaxvthxyYou're so pretty. Just wanted to say that

[@Sreepaxvthxy]

@@kenzoetheveganlover4685 aww🥹thankyou.And so are you. Have a wonderful day ❤️

[@James-hs1eq]

True. For me was when fractions were introduced XD

[@bluelaughs9618]

Honestly, I’m not super lost on math but there were some little (but important) things I missed out on due to things completely out of control. I’m a sophomore now, and I had not been taught division and knew very little multiplication. Year after year, more and more was added. Being asked to build a house when I knew nothing past how to make the foundation. I’d be embarrassed when confronted, but also far too embarrassed to explain why I didn’t know. My childhood wasn’t golden, and it is something I found myself wishing to hide for a better image. I don’t think it helps that my brain has trouble even processing normal things. I’d been treated badly by a lot of people and now you could tell me the sky was orange and I’d doubt my eyes in favor of your claim. I’d feel the need to believe. You know whats terrible? I was shamed and they moved on. No one took the time to teach me. And I felt dreadfully ashamed to look it up. I got over it though, and here I am. No matter what it was that brought anyone older here, It's okay! We all have reasons and you being here and wanting to learn on any of these is wonderful. Lots of us had no control over it and no one took us back to the opportunity. I promise you all that math can also be fun, and very pretty when done correctly. (I love how it looks, and how nice it is to complete something complex) I’m proud of you. Refresh, relearn, or start-up. It's all very good.

[@rochelroma180]

i'm starting this series, thank you professor dave!!

[@letshealtogetherllc]

I really want to study Astrophysics but I'm scared of the math. I 'm dedicating myself to this course for the next few months so that I'll be ready in the Fall. I can do this. I can master math. Thank you for much for this indepth breakdown. I'll porbably comment on every video I watch as a check mark ;)

[@wackywally69420]

ive suffered major skill loss due to the pandemic and i hope to relearn all the basics, at one point i was gonna go study pure math at university ! the basics can sometimes be neglected which makes it hard to truly understand the complex math

[@cesarsanz7212]

Im from south America, and i need this class for learn english and mathematics, Thank you so much.

[@НаталіяМаксимів-ы5в]

...for what you do -- you are genius. May God bless you...

[@GabrielPerboni]

I really liked the explanation about how mathematics are rooted in the real world and equations are composed of concrete symbols. THe philosophical understanding of the concepts behind the thing is the requirement #1 for me to understand the thing. So... thanks (;

[@Jordiinii]

So simple yet so profound

[@raremoonwalker]

Thank you for producing this !!!!

[@fabricioperez6957]

Certainly Dave is great!

[@f.osborn1579]

Thanks for producing this series!

[@ImIncognito-hh6xf]

I've never shown so much independent interest in mathematics, I'm 17 I would go to school and wishing the math reacher wouldn't show up, Now after realizing math is essential I'm here studying from scratch even though I do know the basics, But just in case I missed out something I can go over it

[@MabelMelchior]

This content was full of great tips!

[@sangeetakumar1754]

0 in maths looking forwarding to learning from the beginning hoping to follow all the way to the end.

[@maxime1776]

Thanks a lot! I picked a degree in social science so I haven’t done maths in years, but all my friends haven’t so I want to catch up for fun 🤓. Back to basics!

[@chydedelaplace8947]

Thanks jesus.

[@c.m.8713]

BRILLIANT!!!

[@Bilbus7]

@@c.m.8713 is it truly brilliant, though?

[@XD-je1vj]

His name is Dave but okay

[@42atlas]

Thanks Tom Cruise!

[@justanuchiha3297]

thanks indeed

[@SamuelMorrison-xv2nr]

You're an inspiration 😇. Thanks a lot Professor Dave 😄

[@scarlet.scars9696]

im brushing up on my math skills to get a masters in robotic engineering and i learned something from this video. idk what to think rn X'D

[@ClearlySoClear]

Really enjoying this channel. However it is not fair to say that subtracton is not associtive being that it is left associtive (as shown in the video 6:14 ).

[@MrMukulpandey]

Best best best....only word i have ❤️ Love from India Guruji 🙏😃

[@kcarm33]

Since I started school, I've fallen behind. I would miss at least a day of school a week. Then it turned into 2, then 3, 4, and then I just stopped going. The last time I was properly in school was year 6. 4 years ago. I mainly stopped because of how bad my math's was and I was too embarrassed. I've just started homeschooling so now I'm relearning math's. I'm going to stick with it and now that I understand how important it is, and actually have a little interest in it I'm going to learn.

[@dahunsibabatunde1308]

I'm following and I'm enjoying the lesson.

[@conmeonguci]

I don't know much about English but I really need to know what Math really is, thanks for your playlist btw, i wil learn it carefully.

[@Person45895]

Dave has amazing mathematics language 😮😮😮

[@SeanPerez-p7r]

You make every video interesting!

[@TanvirHassan-t7f]

Hi Dave, thanks for this awesome intuitive content. I plan to become a Python programmer and start my journey from Basic arithmetic to Linear algebra, Inshallah. May Allah bless your life with bountifulness.

[@jonasarnesen6825]

The Ainu number system is amazing. Imagine having to tell 6*20 then subtract 10 and adding a number like 5 to make 115.

[@vissa.chenchubabu]

Thank You! Professor Dave.

[@Mike_15Slam]

I’m happy i didn’t skip this

[@ailyn3982]

If I only knew about this channel earlier. ❤

[@abdash1211]

I don’t know why but when you said the simplest math it was like the hardest

[@ignacioleikis1784]

Modern math education has been a complete disaster for students. Much appreciated prof!

[@esthernnenna4564]

Love your teaching 👍❤️

[@yuinurahilyon5711]

Best channel to learn math, thanks Professor Dave!

[@sour5301]

8th grade is coming up and I suck at math 😔 hoping I can be the new Einstein after I finish this course

[@Aadim416]

You will 😛🤣

[@abdeljalilpr2033]

Ma shaa Allah ..that's an amazing work..respect from morocco

[@kurtiscobain3224]

Dave do you recommend watching all of these videos for someone getting into computer science. I don’t know where to start and I’m pretty bad at math

[@ProfessorDaveExplains]

Sure just start at the top and go as far as you can!

[@kurtiscobain3224]

@@ProfessorDaveExplains Thank you so much!

[@alangrant5278]

So many brave people. Including mum who was 8 when the war started and she lived in north London throughout the bombing. Scared for life. RIP

[@ranjithvenkat4410]

but dave i learned subtraction is associative because subtraction should added separately 5-3-2 => 5-5 =>0. you can't do 5-3-2 => 5-(3-2) because 3 and 2 has minus symbol. To do in correct way 5-3-2 => 5-(3+2) here, i took minus has common outside the bracket =>5-5 =>0.

[@ProfessorDaveExplains]

You are proving that subtraction is not associative by writing all that.

[@ranjithvenkat4410]

@@ProfessorDaveExplains okay dave.

[@Jasmita-8]

Awesome ! The best , loved it , very helpful , am very grateful ! Thank u very much professor Dave !

[@Cfcaris]

Thank you professor

[@winkleberrygang]

I wish someone would of explained this to me in the same way you are, I wouldn't have felt so dumb growing up. I deeply appreciate you Professor

[@Pacuza1995]

Thank you for your content teacher Dave..😁

[@chancelorhardy9893]

I wonder how long this series will be if it starts off here. Either way I'll watch till the end 😀

[@ProfessorDaveExplains]

very long! about 150 tutorials. i've already written up until calculus so in a couple months i'll write the rest.

[@ikanade-agbanathaniel174]

really came a long way

[@anthonystark6215]

Thank you, professor!

[@unknown81000]

I have grown and my mathematical thinking is in chaos, thank you for the simplicity

[@SamuelMorrison-xv2nr]

Thanks again 👍

[@eliasretreat]

Awesome. Thank you very much!

[@lostmeinspace]

yeah professor Dave😍😍😍😍