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.
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
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.
Sir , You're a Great Mathematician and Teacher. I've seen a couple of more videos from your channel and its just very insightful. also The way you introduce future concepts for young students just like that funnily , really sparks the little but exponentially growing flame of curiosity, like the factorial introductions and god knows why 3 and 7 and 8 and 2 and have that pattern. im still quite less learned being in grade 8 to understand most of your videos but always try to learn any concept i can from your videos (and certainly your videos will mentor me in future too),as you say one who stops learning has stopped living :) Thank You Sir...🙏 an endeavouring physicist
@@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
@@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 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?
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
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 👍.
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.
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! ❤
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.
@@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 !.
@@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
