The Real Number System The Real Number System

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. 2/11/2022 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, . . . } 2/11/2022 jwaid 3

The Real Number System Real Numbers Rational Numbers 1/2 3 0 15% Irrational Numbers -2 3 2/3 3 4 -0. 7 2 - 5 2 1. 456 2/11/2022 jwaid 4

The Real Number System Real Numbers Rational Numbers Irrational Numbers Integers 1/2 - 0. 7 2/11/2022 3 -2 0 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 2/11/2022 15% 2 - 5 2 1. 456 jwaid 6

The Real Number System Real Numbers Rational Numbers 1/2 Integers Whole Natural 0 3 Irrational Numbers 3 2/3 3 4 -2 - 0. 7 2/11/2022 15% 2 - 5 2 1. 456 jwaid 7