Egyptian fractions | Number theoretic algorithms | Multiplication
In mathematics, ancient Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two multiplication methods used by scribes, is a systematic method for multiplying two numbers that does not require the multiplication table, only the ability to multiply and divide by 2, and to add. It decomposes one of the multiplicands (preferably the smaller) into a set of numbers of powers of two and then creates a table of doublings of the second multiplicand by every value of the set which is summed up to give result of multiplication. This method may be called mediation and duplation, where mediation means halving one number and duplation means doubling the other number. It is still used in some areas. The second Egyptian multiplication and division technique was known from the hieratic Moscow and Rhind Mathematical Papyri written in the seventeenth century B.C. by the scribe Ahmes. Although in ancient Egypt the concept of base 2 did not exist, the algorithm is essentially the same algorithm as long multiplication after the multiplier and multiplicand are converted to binary. The method as interpreted by conversion to binary is therefore still in wide use today as implemented by binary multiplier circuits in modern computer processors. (Wikipedia).
Ancient Egyptian Multiplication 1
An introduction to the basic technique used by ancient egyptians with multiplication
From playlist Arithmetic
Egyptians and the Beginning of Numbers | Math and the Rise of Civilization | Documentary
The ancient Egyptians utilized a numeral system for counting and solving written mathematical problems, often involving multiplication and fractions. Evidence for Egyptian mathematics is limited to a scarce amount of surviving sources written on papyrus. From these texts it is known that a
From playlist Civilization
How Ancient Egyptians Multiplied Numbers Quickly (aka Russian Peasant Multiplication)
You can multiply two numbers if you know how to double, halve, and add up numbers. This is really interesting: basically the Egyptians were using binary multiplication! Watch the video to see how it works. READ why this method works: http://mindyourdecisions.com/blog/2014/08/27/the-egypti
From playlist Mental Math Tricks
Ancient Egyptian Multiplication 2
More practice with egyptian multiplication
From playlist Arithmetic
From playlist Transformations of the Number Line
From playlist Transformations of the Number Line
From playlist Transformations of the Number Line
Number Systems Ancient to Modern 1: the Egyptians | Sociology and Pure Mathematics | N J Wildberger
Some of the difficulties with modern arithmetic have their origins already in two great ancient civilizations: the Egyptians and the Mesopotamian. Their approaches to arithmetic were quite different: the Egyptians relied on a base 10 system with a theory of fractions, while the Sumerians,
From playlist Sociology and Pure Mathematics
Easy Math Trick No One Taught You - How Ancient Egyptians Divided Numbers
The ancient Egyptians used a division method we call "partial quotients." It's a quick an intuitive way to do division. Also check out how ancient Egyptians multiplied numbers: https://www.youtube.com/watch?v=qHXsKyVSPOU Then read why this method works: http://mindyourdecisions.com/blog/
From playlist Mental Math Tricks
Number Systems and the 4,933,001 Missing Romans #MegaFavNumbers
#MegaFavNumbers We often take for granted the significance of our modern number system, but it wasn't always so easy to count to 5 million. Join me on a journey through time and discover how our modern system came to be. Made by Daniel Valvo & Nick Brown Chapters: ---------------------
From playlist MegaFavNumbers
Presenting: Greeking Out by National Geographic Kids | Podcast | Overheard at National Geographic
National Geographic Kids' Greeking Out is a kid-friendly retelling of some of the best stories from Greek mythology. This episode, "Akhenaten The Heretic King," is all about King Tut's father and how he attempted to reset Egyptian religion and politics. In Berlin's Neues Museum, Akhenaten
From playlist Podcast | Overheard at National Geographic
The Most Hated Female Pharaoh | Nefertiti | Ancient Egypt Documentary
Nefertiti was a powerful and influential figure during a time of profound cultural upheaval. She even rose to the rank of co-pharaoh and eventually sole pharaoh of Egypt. Her beautiful and elegant limestone bust has rendered her one of the most iconic figures from the ancient world! Nefer
From playlist Ancient Biographies
Pantheons of the Ancient Mediterranean: Crash Course World Mythology #7
In which Mike Rugnetta begins our unit on pantheons, which are families of gods. We further define pantheons and talk about why they're important. Then, we discuss pantheons from the myths of the ancient Mediterranean, starting with ancient Sumer in Mesopotamia. The Egyptian pantheon bring
From playlist World Mythology
Ancient Egypt | Early Civilizations | World History | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/humanities/ap-art-history/ancient-mediterranean-ap/ancient-egypt-ap/a/ancient-egypt-an-introduction Ancient Egypt was an early example of a massive civilization spanni
From playlist World History
Complex Multiplication: -2+i then -2-i
From playlist Complex Multiplication
The numerical system of the ancient Greeks | Sociology and Pure Maths | N J Wildberger
We review the ancient Greek approach to arithmetic, both Attic and Ionian systems, discuss Archimedes' extension of it in the Sand Reckoner, and look at gematria, the curious art of linking words and numbers arising from the Greek system. This is one of a series of videos where we look br
From playlist Sociology and Pure Mathematics
The Hittite Empire and the Battle of Kadesh | Early Civilizations | World History | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/humanities/world-history/world-history-beginnings/ancient-egypt-hittites/v/hittite-empire-video Who were the Hittites, and why was iron so important to them? Sal cove
From playlist World History
Matrix multiplication. How to multiply matrices. In this video I show you how we define the multiplication of matrices. As you will see, it is not so simply as multiplying two numbers. Matrices can only be multiplied when the number of columns in the first matrix is similar to the numb
From playlist Introducing linear algebra