■ What is Modular Arithmetic? | An introduction to the strange world of mathematical time-telling
Vložit
- čas přidán 1. 10. 2020
- What is modular arithmetic? In this video I'll introduce you to the strange world of mathematical time-telling that is modular arithmetic!
What is the final digit of 7 to the power of 100? Can 4003 be written as the sum of two squares? Is 1,200,304,501 divisible by 3? All these are questions that are made much simpler by using modular arithmetic!
In this video we'll go over the basics of what modular arithmetic is, and how to answer different questions when working in different modulos. I'll also explain the applications of modular arithmetic and why it's so important!
Modular arithmetic is a fantastic tool for answering funky questions about numbers - and thus a great tool to add to your mathematics tool kit :)
Here is the modular arithmetic hand-out which contains the formal definition of when two numbers are congruent to each other, as well as proofs of the addition and multiplication theorem: www.dropbox.com/s/3sn5p55sm0p...
Click here for a mini-series of videos on how to solve a variety of modular arithmetic questions:
• ► Modular Arithmetic m...
---------
Subscribe to my youtube channel:
czcams.com/users/mathsunboxed?...
Follow me on instagram: / maths_unboxed - Jak na to + styl
This video deserves 12 MILLION VIEWS not 12k!!!! I learned modular arithmetic In 30 minutes after struggling with it for ages. After watching every video in your series I was able to not only complete my homework but get full marks in my homework and test I literally can't thank you enough!!!!!!
That’s so lovely to hear!!! Thank you so much your comment made my day 😃 good luck with the rest of your studies!
😂
Absolutely amazing. This is the clearest explanation on modular arithmetic I've come across.
This is the most clear explanation of Modular Arithmetic I have seen. Thank you! Also, your voice is so pleasant to listen to!
Holy shit, it's all about the methods. This girl just nailed it. Best explanation about modular arithmetic out there.
I've spent HOURS trying to get my head around this topic and you've made it so simple to understand in just a couple of minutes. THANK YOU!
Awesome to hear, thank you! 😃
you did better than my teacher
First of all, i don't know about Modular arithmetic at all. But, now, you give me all the answers I want. Thank u. I appreciate your work.
Hands down the best explanation of modular arithmetic on the internet(I only watched 3 videos before arriving at this video though, lol!) . Thank you!
quick question: i tried 5 + 16 (mod 3) and using the identity, I got 3 (mod 3) but when i added 5 and 16 = 21 and did 21 (mod 3) , I got 0. why is that?
@@ogorchukwuofili7319 She forgot the explain that if the result of the operation is >n (n from "mod 'n'") you will have to do the mod operation again on the result. Does it make sense to you? All the examples had their results as less than n so yeah, good question.
Awesome video and only one that really clicked. Helped a lot !!!!
After watching a lot of videos about modular arithmetic and not understanding a thing, this is it, this is the best one by far. Thanks for putting examples!
You're simply a Math Angel. Love you so much. God richly bless you.
OMG YOU ARE SO UNDERRATED!! This was absolutely fantastic !!!
Thank you so much!! 😊
Yh
I know modular arthritic is really hard especially when i am hopeless at maths but in 12 minutes and 42 seconds boom! I got it , Am i lucky that this was the first channel i clicked on for this subject Thank you very very much .😎 Modular arthritic
Amazing content, you've got a gift for this stuff.
This video is congruent to 3 months of class
o my God i cant believe it i have been struggling with modular arithmetic for more than 3 weeks but ever since i watched this video for me it is more simpler than ABC I💖💖💖💖💖💖💖 THIS VIDEO
Great explanations, your lowkey one of the best teacher out there.
Thank you very much. Your way of explaining the subject is excellent, understandable and enjoyable. I would give you 5 stars.
Thanks so much for your feedback - means a lot!😊
Clear, concise, wonderful! Beth’s explanations create understanding!
Thank you very much sister you explained the topic very clearly ,you are 1000 times better then our teachers . 👏👏
High quality content with intuitive explanations that cleared many misconceptions I had.Well done
i've been struggling with this for HOURS, your video has explained everything so perfectly and clearly, thank you so much!!!!!! you deserve more views and subscribers♡♡♡♡
Thank you! I finally can understand it. This video deserves more watches!
Very simple to understand, your explanation is better than most books I have come so far, thank you, you got a new subscriber from India 🙏🙏
"You wouldn't say 16 o'clock" ...
People in the military: 🤨.
Well done! Your explanation style is very effective. The path you take is very elegant. I look forward to additional content. Thank you.
What a wonderful explanation in simple terms
😇 Beth, you are an math Angel, I have seen more that ten video lectures on the subject, but no one explains the three methodologies like you, you have to give lectures in Cambridge University ! Huge thank you !!!!!!
Excellent explanation, really helps me. Thank you!
This is a great explanation! Thank you!
I'm an extreme case of visual learner because I have such a hard time to understand mathematical concepts without a visual real-world application and I can finally say that after watching at least 15 videos on modular arithmetic I finally understand the basic concept. Thank you so much!
Thank you! So glad to hear it helps! Good luck on your modular arithmetic journey... :)
really great, brushed up on some discrete math w the help of this video!
Hi Beth! Thank you for the fantastic explanation! I just found your channel and I think I've found a gem in the math CZcams community :D Thanks so much from a fellow college student, cheers!
Hi! Amazing, thanks so much!! Glad you like it ☺️ best of luck with your studies!
you are realy doing good... keep doing... small love from the viewer.
Absolutely brilliant!
Super-clear explanation of an advanced concept for my 11-year-old son!
You explained it VERY Well
Thanks very much for this , came from Dr James from OOMC episode 1 and is really useful to understand quadratic residues in episode 0 !
Fantastic! Glad you found it helpful!😊
The sense in this. Thank you so much
Really well explained! Keep up the good work!
Thank you!
one lesson of my exam is completed.thank you so much
Very well explained. Thanks
thankyouuu so much your a good teacher for me :)
you are such a math angel. sheesh, no one could explain this half as good.
Haha thank you so much!!☺️
Thank you so much for this video❤
Excellent enunciation!
Wow! Outstanding tutorial!
Thank you so much! Glad you liked it :)
Amazing video. I'm doing Discrete Math 2 and you've really helped me.
That’s great to hear! Thanks so much for your feedback!☺️ good luck with your course!
Nicely explained 🔥🔥
thank you! Im so glad you mentioned cybersecurity. Im trying to learn modulo to write cryptographic algorithms!
perfect 1, got this really well.
Great explanation of modular arithmetic!!
ConnieHedra Thank you! 😊
THANK YOU VERY MUCH!
Great explanation!
Thank you!☺️
Watched many videos under this topic, no one was so clear as you. Thq.
Thanks so much! ☺️
@@mathsunboxed 🥰🥰🥰🥰
If I could give this a rating out of 5 stars......I'd give you 6!😁Great work. Thank you for your knowledge and effort.
Thank you it helps a lot. ❤️😊
thank you so much!
You are amazing
Thank you
God bless you😇
amazing!!!!!! i owe you one ;)
truly amazing explanation for this complex topic. I am math online tutor ...Amit from India.
That was so cool!
Thank you!! I always think modular arithmetic is one of the coolest areas of maths!😍
Due to what atomic zeus said
I have automatically subscribed to your channel. Love you😘👍
And thank you for sharing your ideas
yoo
Awesome, thanks so much! 😊
How come you don’t have more subs & views. Your content is awesome!
Antonio GB thank you so much!! Means a lot! Hopefully the channel will grow more soon :)
Thank you.
Thank you 😭😭
i have seen youtube videos with more views but less quality explanation. thanks sis
thanks so much
I'm a new subscriber when I find this video 😊
🙌🙌
thanks
Love from Colombo University
🎉🎉🎉 Great thank you so much but can you please explain what happens when you get like negative number for example -7 mod 6
God bless you
Hello again. Will you do a video on multiplicative inverses modulo n by any chance? :) pls
Sorry I only just read your comment! I’ve taken a break from making videos for a bit but I’ll get back to it soon.. I’ll definitely add this to the list! Good luck in the meantime 😊
CAN YOU MAKE A VIDEO ON SOLVING EQUATIONS WITH MODULAR ARITHMETIC
Correct me if I'm wrong in this calculation
142.3 mod 29.5
142.3/29.5 = 4.82....
round down to 4
29.5 * 4 = 118
142.3-118 = 24.3
so 142.3 mod 29.5 is congruent to 24.3?
❤
Loved the video thank you. Where is the link to the pdf?
Amazing, no problem! If you look at the description below the video (you might have to click to expand it out) there’s a link to Dropbox where you can download it! Hope that helps 😊
Here’s the link! www.dropbox.com/s/3sn5p55sm0p3m5m/ModularArithmetic_MathsUnboxed_Handout.pdf?dl=0
@@mathsunboxed Thank you!!:)
could someone tell me why is 2%3 =2 ?
Am just angry at who ever disliked this video
😮
can I contact you?
Holly smokes ❤️❤️😍🥰
I was so dum at this thing
You're actually wrong about 26 hours. If we had 26 hours in a day the clock would go up to 13 not 12. So 26 would be 0 not 2.
Are you british?
I’m quite sure 😅
Yes she is 😂
High quality content with intuitive explanations that cleared many misconceptions I had.Well done