The oBJectivc of this book is to extend the basic concepts of
arithmetic to tile study of algebra. We will use many of the sym-
bols used in arithmetic and introduce some new ones. The
properties of the basic operations of arithmetic apply also to the
basic operations of algebra. We will generalize these openltions
and introduce new operations as we proceed with the study of
algebra. We will begin by studying the symbols and operations
used with natural numbers and integers. These operations will
then be extended to algebra in Chapter 2. We will begin by
studying the natural numbers and operations on them. We will
see later in this chapter that the same symbols and operations
apply to the integers. In Chapter 2 we will extend the use of
these symbols and operations to algebraic expressions. The
ability to perform operations with literal numbers will enable
us to solve some problems which could not odaerwise be solved
and to find solutions to other problems more easily.
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