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UNIT 1 : ALGEBRA PREP

LESSON 1: REAL NUMBERS, OPEN & CLOSED INTERVALS

$Text Box: The Number Systems Defined: Natural Numbers – the ordinary counting numbers. N = {1, 2, 3, 4, 5, 6, . . . } Whole Numbers – the natural numbers including the zero element. W = {0, 1, 2, 3, 4, 5, 6, . . . } Integers – the natural numbers including their negatives and zero. I = { . . . –4, -3, -2, -1, 0, 1, 2, 3, . . .} Rational Numbers - the set of all possible ratios of integers with non-zero denominators. Basically this includes all fractions (positive and negative) in the form a/b as the definintion below suggests. In decimal form this would include all terminating decimals and non-terminating, repeating decimals which can be obtained from dividing out the fraction form of the rational number. Irrational Numbers – these are numbers that are not rational – ie the set of all non – terminating, non – repeating decimals. Real Numbers – the union of the rational numbers and irrational numbers is the Real number system.$