Mastering The Number System: Practice & Prep

NAME DEFINITION Set of natural numbers Set of whole numbers Set of integers Set of odd numbers Set of even numbers Set of prime numbers Set of Rational numbers Set of irrational numbers Set of real numbers Table of Sets Decimal Representation of Rational and Irrational Numbers NAME DEFINITION EXAMPLES Terminating decimals A decimal having finite number of digits in its decimal part. 434.7779 , 684.765003 0.000000001 Non terminating decimals A decimal having infinite digits in its decimal part. 3.1452.. , 76.9000123.. Recurring decimals or periodic decimals A decimal in which one or more digits repeat indefinitely. Irrational numbers Non terminating and non-recurring numbers. 2.31415162. 3.141592654= , where is prime Rational numbers Terminating, Recurring 0.78, NUMBER SYSTEM CH-1 1, 2, 3, .......N 0,1, 2, 3, .......W 0, 1, 2, 3, .......Z 1, 2, 3, .......O 0, 2, 4, .......E 2, 3, 5, 7........P | , , , 0pQ x x p q Z qq ' | , , , 0pQ x x p q Z qq 'R Q Q 3.13131313.... 3.13 1.121121121... 1.121 n n 4.424 4.424424...CHPATER # 1 NUMBER SYSTEM 2 Properties of Real Numbers Property/binary operation Addition Multiplication Closure Property Associative law Identity element such that then 0