Invent an Egyptian type of numeration system using the following symbols:
, where these symbols represent units, tens, hundreds, and so on, respectively.
a. Write
b. Find
c. Find
Example 2 Adding and Subtracting in the Egyptian System
a. Add and
b. Subtract from using Egyptian notation.
Solution:
a. We add these two numbers by simply grouping all the symbols together (the addition sign is not part of the Egyptian notation). After obtaining the sum, we regroup
We can now rewrite this answer as .
b. We have the reverse problem from part a). Although we can subtract two strokes from four strokes, we cannot subtract six heel bones from three heel bones unless we “borrow.” That is, we convert one scroll to
c. Rewrite
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