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Chapter 9 - XYZ Custom Plus

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RESEARCH PROJECT<br />

Algebraic Symbolism<br />

Algebra made a beginning as early as 1850 b.c.<br />

in Egypt. However, the symbols we use in algebra<br />

today took some time to develop. For example,<br />

the algebraic use of letters for numbers<br />

began much later with Diophantus, a mathematician<br />

famous for studying Diophantine equations.<br />

In the early centuries, the full words plus,<br />

minus, multiplied by, divided by, and equals were<br />

written out. Imagine how much more difficult<br />

your homework would be if you had to write<br />

out all these words instead of using symbols.<br />

Algebraists began to come up with a system of<br />

symbols to make writing algebra easier. At first,<br />

not everyone agreed on the symbols to be used.<br />

For example, the present division sign 4 was<br />

often used for subtraction. People in different<br />

countries used different symbols: the Italians<br />

preferred to use p and m for plus and minus,<br />

while the less traditional Germans were starting<br />

to use 1 and 2.<br />

Research the history of algebraic symbolism.<br />

Find out when the algebraic symbols we use today<br />

(such as letters to represent variables, 1, 2,<br />

a<br />

4, ?, a/b and } }) came into common use. Summarize<br />

your results in an<br />

b<br />

essay.<br />

576<br />

<strong>Chapter</strong> 9 Solving Equations and Inequalities

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