How To Find The Last Digit Of Any Large Number Written As An Exponent

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  • Опубліковано 29 вер 2024

КОМЕНТАРІ • 177

  • @mariamshqair9611
    @mariamshqair9611 4 роки тому +27

    Very helpful thank you
    From 2020 year ^^.
    Your teaching help me as a programmer to find the last digit of really huge numbers .
    Thanks for your effort and time ,the lesson funny and taught me new things.

  • @mccoolfriend6818
    @mccoolfriend6818 Рік тому +5

    If only your were my prof
    I would have been an honor student
    amazing video !

  • @ajlebeau
    @ajlebeau Рік тому +12

    I'm an old guy... I was a math/engineering major at Uni back in 1985. Then I fell in love with the Arts and the rest is history. Now I'm challenging myself to dust off my math skills in the hopes of keeping my brain young. I'm ecstatic that I found your series of tutorials! THANK YOU! Everyone should like/subscribe, and be so lucky to learn from someone like you! You have a sincere gift... "Mathematics knows no race or geographic boundaries; for mathematics, the cultural world is one country." - David Hilbert, German mathematician

    • @PrimeNewtons
      @PrimeNewtons  Рік тому +6

      Wow! Your feedback is an inspiration. I am glad you find my videos useful. Thank you for taking the time to share your experience. I cherish it.

  • @jeiversonchristian6403
    @jeiversonchristian6403 4 місяці тому +2

    I'm from 2024 and I came back here to watch your videos from the beginning, because you're awesome.

  • @guylucas6570
    @guylucas6570 2 роки тому +8

    This was excellent and entertaining. You are a great mathematician. Please make more videos.

  • @Jay_Gaming0826
    @Jay_Gaming0826 Рік тому +3

    Very helpful! Thanks for helping me how to do my HW. Enjoy me as a new subscriber. Also is 2022!

  • @jonathanparlett1172
    @jonathanparlett1172 3 роки тому +10

    This was fantastic thanks for the lesson this helped me solve a coding problem.

  • @Fiery-blizzard4
    @Fiery-blizzard4 3 роки тому +4

    legend

  • @hussainalsaif959
    @hussainalsaif959 3 роки тому +8

    9:00 is when i remember i have a test lol

  • @pfrancotto7807
    @pfrancotto7807 2 роки тому +6

    Wow, you are the third video I watch on exponents and your explanation is absolutely EXCELLENT!!! It is clear and with your step by step explanation you make it very easy to understand.

  • @poojamehmi1382
    @poojamehmi1382 2 роки тому +2

    Thanks rly jolly and helpful, learning in a fun way :)

  • @4rmcatt
    @4rmcatt 4 роки тому +5

    Hey mr. Ok! its amara.. nice video👍🏻

  • @askhojaev
    @askhojaev Рік тому +3

    thanks that was useful

  • @AbuShahed-jy1oy
    @AbuShahed-jy1oy 2 роки тому +2

    really liked it,
    love from bangladesh

  • @preciouslynlanting
    @preciouslynlanting Рік тому +1

    I think I'm going to pass math my subjects if you're my teacher 😭❤️ thank youuu for this video!!!

  • @suripoguvenkatrarao6765
    @suripoguvenkatrarao6765 3 роки тому +2

    Sir iam a Telugu subscribe r your explanation is crystal clear

  • @drsudiptopaitchowdhuryheal265
    @drsudiptopaitchowdhuryheal265 2 роки тому +2

    You are simply awesome an angel

  • @othmanabdalamohamedadanabd1978
    @othmanabdalamohamedadanabd1978 2 роки тому +2

    Nice explaning🙏🏼💕💕

  • @vaibhavbhatnagar6908
    @vaibhavbhatnagar6908 2 роки тому +4

    One of the best videos I came across for this topic plus your teaching styles is a bonus :)

  • @atharvsharma3351
    @atharvsharma3351 Рік тому +3

    Tomorrow is a test and I was thinking about this topic, panicking how to prepare since I have missed classes. Just searched the topic on Google and got your video recommended. I am glad I found this video!! It was interesting easy and interactive... I smiled throughout the topic and it felt so easy. Your way of teaching is very involving and thus makes topics easier to digest and understand. I hope you also upload videos on higher mathematics and algorithms... I will be looking into your channel. Keep up the good content 👍.

    • @PrimeNewtons
      @PrimeNewtons  Рік тому +1

      Hope you did well on your test

    • @atharvsharma3351
      @atharvsharma3351 Рік тому

      @@PrimeNewtons I did!! And when this question came, I did it it few seconds. Thank you :)

  • @boujee.stylist
    @boujee.stylist 3 роки тому +4

    really positive, easy and fast thank you)

  • @HadisSharif
    @HadisSharif 2 роки тому +2

    Perfect! thank you

  • @MurshidIslam
    @MurshidIslam 2 роки тому +2

    This is so much fun! I love the energy.

  • @othmanabdalamohamedadanabd1978
    @othmanabdalamohamedadanabd1978 2 роки тому +1

    My teacher course idont understand last this morining helps me thankz tecsher

  • @padengrier1205
    @padengrier1205 2 роки тому +4

    This was too cool! The 22 minutes went too fast! I will always remember this lesson! I love the fact that you tell us to put it in our brain!

  • @mr.sportking
    @mr.sportking 3 роки тому +2

    This questions are so hard before I watch this video 😁

  • @baizid3565
    @baizid3565 Рік тому +2

    Thank you sir ......

  • @koimipoimi5483
    @koimipoimi5483 3 роки тому +3

    funny and smart

  • @laicadagondon6037
    @laicadagondon6037 2 роки тому +2

    Thank you so much! Very helpful🤗

  • @nox7925
    @nox7925 Рік тому +1

    Maaan , thanks a lot , you just helped me with my ploblems with this theme

  • @AnomaBasupran
    @AnomaBasupran 3 роки тому +2

    What if the denominator is zero?

  • @endyeyvlogs475
    @endyeyvlogs475 4 роки тому +5

    Hey there. It is me Aischelle. Nice vid

  • @drummerboy9536
    @drummerboy9536 11 місяців тому +1

    This is very interesting... A large integer that is raised to another large integer is VERY LARGE!!! You are trying to find out what the last digit is of the integer that's being raised to some number. 🤔 Thank you for the video! ❤

    • @drummerboy9536
      @drummerboy9536 11 місяців тому

      Last numbers 0, 1, 5, and 6, no matter what you raise them to, you'll always have the same last digit everytime. Numbers 0 and 1 will be itself no matter what you are raising them to. Any last number besides 0, 1, 5, and 6 will have different last digits.

  • @BRILLIANTBLOODS
    @BRILLIANTBLOODS 2 роки тому +2

    Nice explanation.

  • @sagarsangram8420
    @sagarsangram8420 2 роки тому +2

    Sir You Are a Mathemagician!

  • @datoda3593
    @datoda3593 2 роки тому +2

    Great video, Helped me alot!

  • @JJCotek
    @JJCotek Рік тому +1

    well explained! You were born to be a teacher :)

  • @PriscillaEfuaAPPIAH
    @PriscillaEfuaAPPIAH Рік тому +1

    "...back and forth... like friends who fight..."😂😂😂😂😂😂

    • @PrimeNewtons
      @PrimeNewtons  Рік тому +1

      That was just spontaneous 🤣🤣😂

  • @terroriserthor6138
    @terroriserthor6138 3 роки тому +1

    do not study play only games my dream but in real hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

  • @funtroom9999
    @funtroom9999 3 роки тому +3

    What is the last digit of 13^77?

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому

      3 has the cycle 3,9,7,1
      If you divide 77 by 4 , the remainder is 1
      This means the 1st iteration
      So the last digit is 3

    • @funtroom9999
      @funtroom9999 3 роки тому

      @@PrimeNewtons ty

  • @eyyyitsney1866
    @eyyyitsney1866 4 роки тому +8

    1. the neck/body wobble that you did was fun
    2. the video went grayscale a few random times in the video

    • @PrimeNewtons
      @PrimeNewtons  4 роки тому +2

      I shot the video with my phone. The camera did it. I'll find a way around it. Thanks Enya.

  • @cristianquesadacossio8053
    @cristianquesadacossio8053 2 роки тому +2

    Excellent video!! Thank you so much. How can I obtain which are all the digits of the number?

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      I'll have to use a computer program for that.

    • @cristianquesadacossio8053
      @cristianquesadacossio8053 2 роки тому +1

      @@PrimeNewtons Thanks for your answer, coincidentally that's what I'm trying to do. I want to make a program which can compute what is the frequency of every digit 0,1,2,3...9 in a number 2^a * 5^b where a and b could be 10^5

    • @cristianquesadacossio8053
      @cristianquesadacossio8053 2 роки тому

      @@PrimeNewtons I already know how many digits the number 2^a *5^b has. I was thinking on doing something like what you do taking the last digit (units) and see the cycle, then taking the penultimate digit (ten) and so on, until have completed the 9 digits that I knew that the number had

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      That's impressive. I will some day learn how to write such programs. Maybe from from someone like you.

  • @r_sgamingnormal7706
    @r_sgamingnormal7706 2 роки тому +2

    Ohh God ......
    I am speechless......
    Your technique is unique and expression also......

  • @jersonsarucam3188
    @jersonsarucam3188 3 роки тому +3

    I don’t care about the quality of the video sir, i just care the way you deliver the topic. I learned a lot from this video.

  • @AshishKumar-bf4cc
    @AshishKumar-bf4cc 3 роки тому +2

    awesome sir

  • @nikkigiggles2027
    @nikkigiggles2027 4 роки тому +3

    Nice video Mr.Ok
    It was really helpful!

  • @Vishnu-2641
    @Vishnu-2641 2 роки тому +1

    I'm watching in 2022 bro

  • @gol.dmorzan8082
    @gol.dmorzan8082 Рік тому +2

    best teacher I've ever seen!!!

  • @diyanarsani5545
    @diyanarsani5545 3 роки тому +2

    Hi. Can you tell me 5 raised to the power of 888?

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому +1

      I don't know. Use a huuuge computer to find the answer. The answer will have more than 600 digits and the last digit will still be 5. lol

  • @gintakahashi9811
    @gintakahashi9811 3 роки тому +8

    I will never sleep in Math Class, if he is the teacher🥺🙌 very entertaining Sir! Entertained and learned at the same time. Thanks Sir, learning became more easier! Looking forward for more of your videos. Greetings from Phils.

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому +2

      Thank you @Gem Mendoza. I am glad you found it entertaining too.

  • @diyanarsani5545
    @diyanarsani5545 3 роки тому +3

    What is 1/5^888 ?

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому +1

      Did you mean (1/5)^888 or 1/(5^888)?

  • @yunuskhanmohammad6528
    @yunuskhanmohammad6528 2 роки тому +1

    This is great hahaha nice thanks much sir

  • @blessedbenmaths7790
    @blessedbenmaths7790 3 роки тому +3

    yeah, the cycle really makes it cool .........i love your teachings sir,
    sincerely!

  • @hussainalsaif959
    @hussainalsaif959 3 роки тому +2

    12:43 he made our problem for us?! lol im just joking i enjoyed this video

  • @r_sgamingnormal7706
    @r_sgamingnormal7706 2 роки тому +1

    Love from India ❤️........

  • @charisdominic2816
    @charisdominic2816 3 роки тому +2

    Thank you so much

  • @jersonsarucam3188
    @jersonsarucam3188 3 роки тому +2

    Thank you for this video sir, it helps me a lot ❤️💓

  • @johnonyemuze8016
    @johnonyemuze8016 2 роки тому +2

    I learnt this already in algebra already. But didn't know it was even this easy. Wonderful work sir.

  • @shubhamabd4038
    @shubhamabd4038 3 роки тому +2

    That's crazy and amazing thanks sir for this... Teaching level is also in the next level....

    • @shubhamabd4038
      @shubhamabd4038 3 роки тому

      Thanks sir you almost seems like Will Smith...

  • @unobuhle.m
    @unobuhle.m 2 роки тому +1

    i enjoyed this! :)

  • @mustafahinawi1051
    @mustafahinawi1051 3 роки тому +1

    2021 and thank you

  • @goooz3369
    @goooz3369 4 роки тому +2

    Is good video -Arvin

  • @oleksandrkonotop9999
    @oleksandrkonotop9999 4 роки тому +3

    Thank you very much

  • @jewkuza
    @jewkuza 3 роки тому +2

    What if there is no remainder?

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому

      The last digit will be the last iteration

  • @AmanSharma-ui8bj
    @AmanSharma-ui8bj 3 роки тому +2

    No need to improve anything.... You're just awesome❤

  • @p1ss9770
    @p1ss9770 2 роки тому +2

    cuz of you i hope i dont fail my exam

  • @salmansheikh4244
    @salmansheikh4244 3 роки тому +2

    Explained well and in a very funny way. U r superb 😍👍

  • @hengsokhen2667
    @hengsokhen2667 3 роки тому +1

    Thank you!

  • @jeffw1267
    @jeffw1267 Місяць тому

    The first question took me about five seconds to calculate mentally. Maybe I should make my own video.

  • @lambogamerxd9533
    @lambogamerxd9533 2 роки тому +2

    One of the most phenomenal teachers I've ever seen!!

  • @Tiki-se9jz
    @Tiki-se9jz 6 місяців тому

    thank you so much that was amazing!!!! no need to improve, keep posting videos!!😀

  • @tajpa100
    @tajpa100 Рік тому +1

    Great

  • @themanecareactor1512
    @themanecareactor1512 2 роки тому +1

    I have a crush on you, thank you for helping me solve my problems

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      Lol. You are a comedian, I guess.

    • @themanecareactor1512
      @themanecareactor1512 2 роки тому +1

      @@PrimeNewtons Didn't think you would see this, you're amazing lol. Much love from Sweden

  • @dougaugustine4075
    @dougaugustine4075 3 місяці тому

    I was looking over your videos and saw this one. Your current presentations have really become polished in contrast.

  • @justonehour
    @justonehour 9 місяців тому

    Good video , What happen if the reminder is equal to 0 with the Number 3 ( e.g. 3^204 ) ?

  • @lazerd978
    @lazerd978 3 роки тому +2

    Wonderful

  • @1234567898518
    @1234567898518 4 роки тому +3

    really helpful on my preliminary exams! thank you so much, I think I'm about to ace it tomorrow!

  • @girishchandra4558
    @girishchandra4558 3 роки тому +1

    Super💯

  • @karinaandal2418
    @karinaandal2418 2 роки тому +1

    Nice

  • @Harshavardhantej9000
    @Harshavardhantej9000 11 місяців тому

    I'm studying in 6th Grade and your classes are very useful for me.
    Thank you so much, Sir!😊

  • @tomkotch3726
    @tomkotch3726 2 роки тому +1

    You are an awesome teacher!

  • @jewkuza
    @jewkuza 3 роки тому +3

    Sir you are amazing!!!!!

  • @cryptodelirium862
    @cryptodelirium862 2 місяці тому

    Thanks you are awesome!!! I will also unite to this channel subscription as soon as I can, worth it!

  • @paperpen5766
    @paperpen5766 3 роки тому +3

    Nice

  • @paperbellow688
    @paperbellow688 3 роки тому +3

    you are a phenomenal teacher

  • @ガアラ-h3h
    @ガアラ-h3h 11 місяців тому

    Essentially it’s because a pattern is created in the last digit don’t have to watch whole video great content tho appreciate you still watched it cause I’m always gonna support my math folks

  • @RohitKumar-nf8hk
    @RohitKumar-nf8hk 3 роки тому +1

    What a funny teacher 😁😁

  • @anuragv400
    @anuragv400 3 роки тому +2

    Nice explanation man !

  • @aklyrics746
    @aklyrics746 3 роки тому +3

    Very helpful !
    Good explanation !
    Thanks !

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому

      Glad it was helpful!

    • @aklyrics746
      @aklyrics746 3 роки тому +1

      @@PrimeNewtons I really really like the way you explain. You're a good explainer !! Congratulations on that !
      By the way, can you make a video about the same subject but where you explain how to find last digit in a factorial number.
      Ex : Last digits in 125 !.

    • @PrimeNewtons
      @PrimeNewtons  3 роки тому

      @@aklyrics746I will work on that too.

    • @aklyrics746
      @aklyrics746 3 роки тому

      @@PrimeNewtons Thanks before !

    • @soulseekerbs5301
      @soulseekerbs5301 3 роки тому

      @@aklyrics746 like I described earlier, 125! has the factor 10 in it right? That means that the last digit is 0.
      There is actually a cool way to figure out how many zeroes appear at the end of a factorial. For example if we have 125!, the number of zeroes is floor(125/5)+floor(25/5)+floor(5/5)=25+5+1=31

  • @LynSendaddy
    @LynSendaddy 2 роки тому +2

    what happens when you get a remainder of 0?

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      Please share the detail of this question

    • @LynSendaddy
      @LynSendaddy 2 роки тому

      @@PrimeNewtons oh I just wanted to know what happens or is it possible to get a remainder of 0 so if 0 is are remainder then how are we going to get the last digit number?

    • @PrimeNewtons
      @PrimeNewtons  2 роки тому

      Take for example 9^4. 9 has a cycle of 2 (I.e 9,1) so when you divide 4 by 2 you get a remainder of 0. That means it is a complete cycle and the last digit of 9^4 will be the last digit in the complete cycle. That is 1

    • @LynSendaddy
      @LynSendaddy 2 роки тому

      @@PrimeNewtons I see thank you so much your such a big help

  • @nhorglino1069
    @nhorglino1069 Рік тому +1

    so cool, you're a good teacher!

  • @user-us4ws9px2s
    @user-us4ws9px2s Рік тому +1

    can't you take mod 10?

    • @PrimeNewtons
      @PrimeNewtons  Рік тому

      When I this video, it was meant for the general public who have no knowledge of number theory. I plan to make number theory videos soon.

  • @IshantYadav
    @IshantYadav Рік тому +2

    tysm

  • @LexandroxX
    @LexandroxX 4 роки тому +3

    Nice editing and I'm Alessandro by the way

    • @PrimeNewtons
      @PrimeNewtons  4 роки тому +1

      Thank you Alessandro. i hope to get better with the videos.

    • @LexandroxX
      @LexandroxX 4 роки тому

      @@PrimeNewtons me too

    • @LexandroxX
      @LexandroxX 4 роки тому +1

      @@PrimeNewtons One app is skill share that's all I know

    • @PrimeNewtons
      @PrimeNewtons  4 роки тому

      @@LexandroxX Thank you. I'll check it out.

  • @war.on.buffets4170
    @war.on.buffets4170 3 роки тому +1

    This guy is good.

  • @matangasulgayangatlantic8781
    @matangasulgayangatlantic8781 3 роки тому +2

    THANK YOUU

  • @slasher_gaming_yt3351
    @slasher_gaming_yt3351 3 роки тому +3

    I like you

  • @jewkuza
    @jewkuza 3 роки тому +2

    Please keep going !

  • @gentlemandude1
    @gentlemandude1 5 місяців тому

    Your hat game is as good as your math game. Great video!

  • @nelvingalupo8512
    @nelvingalupo8512 2 роки тому +1

    BEST TEACHER/ TUTOR SO FAR