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The Real Number System The Real Number System • The Real Number System is divided into two categories: Rational and Irrational. • Rational Numbers: Numbers, such as ½ and –3/1 that can be written as a ratio of two integers. • Irrational Numbers: Real numbers, such as square root of 2 or , that are not rational. 5/24/2017 jwaid 2 The Real Number System • Rational Numbers: Includes integers, whole numbers, natural numbers, and numbers written as the ratio of two integers. • Integers: {. . . – 3, – 2, – 1, 0, 1, 2, 3, . . .} • Whole Numbers: {0, 1, 2, 3, . . .} • Natural Numbers: {1, 2, 3, . . .} 5/24/2017 jwaid 3 The Real Number System Real Numbers Rational Numbers Irrational Numbers 1/2 -2 3 3 0 15% 2/3 3 4 -0.7 2 -5 2 1.456 5/24/2017 jwaid 4 The Real Number System Real Numbers Rational Numbers Irrational Numbers Integers 1/2 3 -2 0 - 0.7 5/24/2017 15% 3 2/3 3 4 2 -5 2 1.456 jwaid 5 The Real Number System Real Numbers Rational Numbers Irrational Numbers Integers Whole 1/2 3 0 3 2/3 3 4 -2 - 0.7 5/24/2017 15% 2 -5 2 1.456 jwaid 6 The Real Number System Real Numbers Rational Numbers 1/2 Irrational Numbers Integers Whole Natural 0 3 3 2/3 3 4 -2 - 0.7 5/24/2017 15% 2 -5 2 1.456 jwaid 7