Egyptian fractions | Number theoretic algorithms | Multiplication

Ancient Egyptian 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).

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Ancient Egyptian Multiplication 1

An introduction to the basic technique used by ancient egyptians with multiplication

From playlist Arithmetic

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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

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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

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Ancient Egyptian Multiplication 2

More practice with egyptian multiplication

From playlist Arithmetic

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Matrix multiplication

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

Related pages

Binary number | Division by two | Multiplication | Moscow Mathematical Papyrus | Parity (mathematics) | Mathematics | Addition | Multiplication table | Rhind Mathematical Papyrus | Multiplication algorithm | James Joseph Sylvester | Subtraction | Binary multiplier | Egyptian fraction