1. Egypt
Egyptian mathematics

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

3. 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

4. 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

5. Astronomical instruments found in Great pyramis

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

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

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

9. 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

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

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

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

13. Your turn: Divide 324 by 12

14. 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

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

16. Problem 72

19. Is this correct?

20. Is this
correct?