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EDCP 442 Project

By Crystal, Dion, and Jordan

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Background of Ahmes’ Loaves Problem

  • The Rhind papyrus built a strong foundation for the Mathematics of today
  • The Rhind Mathematical Papyrus was scribed by Ahmes, the earliest known contributor to math!
  • Ahmes claims to be the scribe and not the creator of the work, which had come from an even earlier time period (2000 BCE)
  • Our chosen problem is Problem #40 in the Rhind papyrus
    • Concludes the Arithmetic/Algebraic section

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  • The word problem asks us how to divide 100 loaves among 5 men where 1/7 of the largest 3 shares must equal to smallest 2 shares

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  • The shares received must be in an arithmetic progression

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  • The numbers used in this problem are determined by false position

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Modern Method

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Modern Method (continued)

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Modern Method (Solutions)

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Modern Uses of False Position

Trial-and-Error type algebra for beginners

Solving Small Systems of Equations

Word Problems

More advanced methods for finding roots of Polynomials

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Ancient Method (Thought Process)

What method was used?

The method of False Position.

How was it used? What was the Thought Process? How did it work?

How did Ahmes actually do it?

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Ancient Thought Process

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Ancient Thought Process

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Ancient Thought Process

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Ancient Thought Process

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Ancient Thought Process

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Ancient Thought Process

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Ancient Thought Process

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False Position Method of Solving Roots

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False Position Method of Solving Roots

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Solving Roots using False Position

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Ancient Egyptian Method

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Interactive Activity

1. Go to jordanedcp442.blogspot.com and click the links in the Assignment 1 section

2. Click the Download button in the top right hand corner

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References

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