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# prcreva1 - A.1 Algebra Review Let letters such as x, y, z,...

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A.1 Algebra Review

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Let letters such as x, y, z, a, b, c represent numbers.
A collection of distinct objects is called a set. The objects in the set are called elements. Typically, set builder notation represents sets. { x | 0 < x < 5, x is an integer}

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The counting numbers, or natural numbers are the numbers 1, 2, 3,. .. The whole numbers are 0, 1, 2, 3, The integers are …, -3, -2, -1, 0, 1, 2, 3, …
A rational number is a number that can be expressed as a quotient a / b. The integer a is called the numerator , and the integer b, which cannot be 0, is called the denominator .

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Rational numbers have decimals that either terminate or repeat. Numbers in which the decimal neither terminates nor repeats are called irrational numbers .
The set of all rational and irrational numbers form the set of real numbers.

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Fractions Counting Numbers Zero Whole Numbers Whole Negative Numbers Integers Rational Numbers Irrational Numbers Real Numbers
Properties of Real Numbers Commutative Properties Associative Properties

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Properties of Real Numbers Distributive Property
Identity Properties Properties of Real Numbers

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Multiplicative Inverse Additive Inverse ( 29 a a a a + - = - + = 0 Properties of Real Numbers
The difference a - b , a - b = a + (- b )

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If b is a nonzero real number, the quotient , a / b is defined as
Multiplication by Zero Division Properties Properties of Real Numbers

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## This note was uploaded on 12/17/2010 for the course MATH 131 taught by Professor Staff during the Fall '08 term at UNC.

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prcreva1 - A.1 Algebra Review Let letters such as x, y, z,...

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