# 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 Commutative Property Associative Property Distributive Property Identity Property Additive Inverse Property Multiplicative inverse Property Trichotomy Property

Bounded Intervals Closed[a, b] Open(a, b) Half-Open [a, b) Half-Open(a, b] a and b are the endpoints of each interval

Unbounded Intervals Closed[a, ∞) Open (a, ∞) Closed(- ∞, a] Open (- ∞, a)

Properties of Exponents