The Egyptian algorithm for multiplication was one of the interesting topics explained in the Rhind papyrus. Let us look at an example of this strategy. Suppose we want to compute 19 x 35. Successively doubling 35, we obtain this list: 1 x 35 = 35 2 x 35 = 70 4 x 35 = 140 8 x 35 = 280 16 x 35 = 560 Adding the results in the highlighted rows gives 665 as the desired product.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
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The Egyptian algorithm for multiplication was one of the interesting topics explained in the
Rhind papyrus. Let us look at an example of this strategy. Suppose we want to compute
19 x 35. Successively doubling 35, we obtain this list:
1 x 35 = 35
2 x 35 = 70
4 x 35 = 140
8 x 35 = 280
16 x 35 = 560
Adding the results in the highlighted rows gives 665 as the desired product.

2.1 Try this strategy for a different pair of numbers and explain how and why the
strategy always works.

2.2 This strategy is known as the duplication algorithm. Use duplication to find the
product of 24 and 71

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