MathU201                                                                   Worksheet #3

January 14, 2004                                                  Professor Gilmore

Ancient Egyptian Calculations

 

Use the Egyptian method of doubling to multiply the following pairs if numbers:

 

  1. 29 and 113.

 

 

 

 

 

 

 

 

  1. 13 and 227

 

 

 

 

 

 

 

 

 

Use the splitting algorithm to represent the following fractions in terms of unit fractions:

 

  1. 2/17 =

 

 

 

 

  1. 2/29 =

 

 

 

 

Use the fact that  2/3 = 1/2 + 1/6 to represent the following fractions in terms of unit fractions:

 

  1. 2/279 =

 

 

 

  1. 2/1539 =

 

 

 

Use the Egyptian method of doubling, together with the ideas and formulas that they used with fractions, to perform the following divisions:

 

  1. 75 divided by 6

 

 

 

 

 

 

 

 

 

  1. 119 divided by 23