Egypt Egyptian mathematics

Comparing and contrasting Babylonian Math and Egyptian Math Theocratic Society Slave class for Manual Labor Agriculture and Farming Motivated Math Comparing and contrasting

Comparing and contrasting Babylonian Math Egyptian Math Constant Invasions by neighbors Theocratic Society Tigris and Euphrates required more engineering Math problems were more difficult Remained Secluded and in peace Semi-isolation didn’t require trade Nile flood seasons required simple irrigation Emphasis on Astronomy to predict seasons Comparing and contrasting

Egyptian Pyramids 2600 BC: Great Pyramid at Gizeh 13 Acres 2 million stone blocks Each 2.5 tons 54 ton granite blocks – roof Dragged 600 miles Set 200 ft above ground Right angles within 1/27000 of 90 degrees Sides of equal length up to 1/14000

Astronomical instruments found in Great pyramis

Illustrates Egyptian Method of Multiplication Rhind Papyrus: 1650 B.C. Illustrates Egyptian Method of Multiplication Math was taught by example Applied arithemetic

Egyptian Method of Multiplication Method of Doubling All numbers can be written in base 2

Now you try Use the Egyptian method of multiplying to compute (27)(19)

Egyptian Division Division worked using the same method in reverse. For example, let’s divide 1495 by 65. Double 65 until we are about to pass 1495

Egyptian Division Tick off the numbers on the right column that add to a number between 1495 and 1495 – 65.

Egyptian Division What if the numbers didn’t add up perfectly

Egyptian Division What if the numbers didn’t add up perfectly

Your turn: Divide 324 by 12

Fractions Egyptians only allowed unit fractions: Symbol for fraction was oval Same symbol for mouth Common used fractions – Horus –eye 2/3 and 3/4 were only exceptions

Rhind Papyrus – Table of Doubling Fractions Check to see if these are correct.

Problem 72

Is this correct?

Is this correct?