Egyptiska multiplikation bevis

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 a. 1 2 Vette fanken om jag är skärpt nog idag att skriva ett formellt bevis, men grunden i beviset ligger i det du redan påbörjat med nedanstående rad, dvs i de distributiva lagarna för multiplikation. 37*21=37*(1*2^0 + 0*2^1 + 1*2^2 + 0*2^3 + 1*2^4)=37*(1+4+16). 3 4 The Ancient Egyptians used an interesting way to multiply two numbers. The algorithm draws on the binary system: multiplication by 2. They used addition to get the answer to a multiplication problem. This method is still used in many rural communities in Ethiopia, Russia, the Arab World, and the Near East. Advertisement. 5 1. Be l o w th e fi r s t n u mb e r (in this case 23), they would s ta r t w i th 1 and keep doubling the number, until the results e x c e e d th e fi r s t n u mb e r, 6 What you’re really doing is adding the appropriate doubles: 96 96 is eight 12 12 s, 48 48 is four 12 12 s, and 24 24 is two 12 12 s. So when you add them you get 14 12 s. The division is similar - demonstrates Egyptian knowledge that division and multiplication are reciprocal operations, like addition and subtraction. Example 2. 7 8 bevisa att distributionslagen är den enda som används, vilket i sig bevisar att resultatet av den ursprungliga multiplikationen bibehållts. 9 Den multiplikation tekniken i det gamla Egypten förlitat sig på att bryta ner ett av numren (vanligtvis den minsta) i en summa och skapa en effekt tabell. 10 12
egyptiska multiplikation bevis