# Section P-1 What are the properties of real numbers?

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Section P-1 What are the properties of real numbers?

Real Numbers Symbol (R) May be described informally in many different ways

Natural Numbers Symbol (N) Also called counting numbers Examples: {1,2,3,4…..}

Whole Numbers Symbol (W) Also called counting numbers plus zero Examples: {0,1,2,3,4…..}

Integers Symbol (J) Positive and negative whole numbers Examples: {…-3,-2,-1,0,1,2,3…}

Rational Numbers Symbol (Q) Numbers that can be written as fractions Ex: whole numbers 6/3=2 repeating decimals 1.232323... terminating decimals 1.85692

Irrational Numbers Symbol (I) Non-terminating numbers Ex: π, Square root of 2 Ex: π, Square root of 2 Non-repeating decimals that never end Ex: 1.849573495638974…. Ex: 1.849573495638974….

Quiz 1.Zero is a real number? 2.Real numbers are a subset of rational numbers? 3.Irrational numbers are not a subset of rational numbers 4.6/3 is a rational number 5.0 is a natural number

Define these properties Closure Property Commutative Property Associative Property Distributive Property Identity Property Multiplication Property of Zero Additive Inverse Property Multiplicative inverse property

Define these properties Reflexive Property Symmetric Property Transitive Property Substitution Property Trichotomy Property