The Nature of Mathematics, 12th Edition
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Chapter 4
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Chapter 13
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Chapter 4 Projects

Individual Research Project 4.3

The people from the Long Lost Land had only the following four symbols as shown in the text. Write out the first 20 numbers. 
Find
a. square plus star and
b. star times star.  

(Use your imagination to invent a system to answer these questions.)

Is it possible to have a numeration system with a base that is negative? Before you answer, see "Numeration Systems with Unusual Bases," by David Ballew, in The Mathematics Teacher, May 1974, pp. 413-414. Study the topic of negative bases, and present a report to the class.

Individual Research Project 4.4

Is it possible to have a numeration system with a base that is negative? Before you answer, see "Numeration Systems with Unusual Bases," by David Ballew, in The Mathematics Teacher, May 1974, pp. 413-414. Study the topic of negative bases, and present a report to the class.

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