Modular arithmetic | Base-dependent integer sequences
In mathematics a polydivisible number (or magic number) is a number in a given number base with digits abcde... that has the following properties: 1. * Its first digit a is not 0. 2. * The number formed by its first two digits ab is a multiple of 2. 3. * The number formed by its first three digits abc is a multiple of 3. 4. * The number formed by its first four digits abcd is a multiple of 4. 5. * etc. (Wikipedia).
This video covers the divisibility rules for 2,3,4,5,6,8,9,and 10. http://mathispower4u.yolasite.com/
From playlist Factors, Prime Factors, and Least Common Factors
Find The 10 Digit Number Classic Puzzle And Solution
I'm thinking of a 10 digit number that uses the each digit 0 to 9 exactly once and where the number formed by the first n digits is divisible by n. What could my number be? The video explains how to find the answer using tests for divisibility. Blog post: http://wp.me/p6aMk-4yS Divisibil
From playlist Logic Puzzles And Riddles
A Maths Puzzle: Find the nine digit number
Find a nine digit numbers, using the numbers 1 to 9, and using each number once without repeats, such that; the first digit is a number divisible by 1. The first two digits is a number divisible by 2; The first three digits is a number divisible by 3 and so on until we get a nine digit num
From playlist My Maths Videos
Ex 1: Apply Divisibility Rules to a 4 Digit Number
This video explains how to apply the divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10. http://mathispower4u.com
From playlist Factors, Prime Factors, and Least Common Factors
#shorts This video reviews the divisibility rule for 3.
From playlist Math Shorts
Multiplying two-digit numbers with the same ones digit and tens digits that add up to 10 #mtydkyn
Haven't done a #MathTrickYouDidn'tKnowYouNeeded in a while, but I think I picked a good one to return with. Today, we're multiplying two two-digit numbers that share the same ones digits, and which have tens digits that add up to 10. Subscribe: https://bit.ly/polymathematic | Enable ALL p
From playlist polymathematic #shorts
Zero is an even number or odd number?
Is zero even or odd? Is it neither? Is it BOTH?!? Determining if zero is even requires that we know what it means for a number to be even. Even numbers are any numbers that are divisible by two. Meaning they divide by two without any remainder. This, in general, is what it means for one
From playlist polymathematic #shorts
From playlist L. Number Theory
2023: New Year, New Primality Testing…
Check out the main channel: @polymathematic Happy New Year! 2023 has at least one advantage over 2022 already: it could be prime! 2022 ends in an even number, so it's obviously even itself. That's called a divisibility test, and it's the same for determining if a number is divisible by 5
From playlist polymathematic #shorts
Polygonal Numbers - Geometric Approach & Fermat's Polygonal Number Theorem
I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
From playlist ℕumber Theory
How is i equal to square root of -1?
What is 'i'? More importantly, what is a complex number? How are complex numbers relevant to the context of other familiar numbers? Chapters: 00:00 Introduction 01:46 Logo of Reals and Rationals 02:11 Expanding real numbers 03:25 Motivation using whole (natural) numbers 06:08 Planar numb
From playlist Summer of Math Exposition 2 videos
Fun with Math: Surprises with Arithmetic and Numbers
Stephen Wolfram shows kids and adults some fun unique things you can do with math. All demonstrations powered by the Wolfram Language. Originally livestreamed at: https://twitch.tv/stephen_wolfram Follow us on our official social media channels: Twitter: https://twitter.com/WolframRese
From playlist Stephen Wolfram Livestreams
How to understand the REAL NUMBER LINE - COLLEGE ALGEBRA
In this video we talk about natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. We also show the real number line and the inequalities less than and greater than. 00:00 Intro 00:29 Number system 04:53 Visual representation of numbers 07:37 Rea
From playlist College Algebra
This video provides a basic introduction into real numbers. It explains how to distinguish them from imaginary numbers. It also discusses the difference between rational and irrational numbers as well as integers, natural numbers, and whole numbers. Examples include repeating and non-re
From playlist New Algebra Playlist
This chemistry video tutorial answers the question - what are isotopes? Isotopes are substances that are composed of the same element but consist of different mass numbers and number of neutrons. They share the same atomic number and therefore the same number of protons. This video cont
From playlist New AP & General Chemistry Video Playlist
Pascal's wager and real numbers
My entry for 3blue1brown's contest, talking about Pascal's wager and how it leads to interesting questions about (hyper)real numbers. A big shoutout to Grant for coming up with this wonderful idea. Link to Thierry Platinis channel for more on hyperreal numbers: https://www.youtube.com/cha
From playlist Summer of Math Exposition Youtube Videos
Year 13/A2 Pure Chapter 0.1 (Subsets of Real Numbers, Representatives and Proof)
Welcome to the first video for year 13 (A2) Pure Mathematics! This video is part of a series of three that I've called Chapter 0, and is meant as a foundation for Year 13. The primary reasons for doing this are that the difficulty of Year 13 is markedly harder than Year 12 content, and al
From playlist Year 13/A2 Pure Mathematics
My favorite proof of the n choose k formula!
The binomial coefficient shows up in a lot of places, so the formula for n choose k is very important. In this video we give a cool combinatorial explanation of that formula! Challenge Problems playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJGkzGsXMYQt8bi5ImYtiEMM Subscribe t
From playlist Challenge Problems
Is the Sieve of Eratosthenese past its prime?
The Sieve of Eratosthenes is an amazing tool for teaching people about prime numbers and composite numbers but it's not without its limitations. I've tried to answer the question, 'Is there a better way of representing a sieve like this?' 0:00 Sieve of Eratosthenes In the first part of t
From playlist Summer of Math Exposition Youtube Videos
Multiplying Roman Numerals the Ancient Way #shorts
Check out the main channel @polymathematic ! Because the Roman numeral system doesn't rely on place value like our decimal number system, it can be very hard to multiply two numbers together. There are various workarounds you can do with distribution and looking up values in tables, but t
From playlist polymathematic #shorts