section p-1 what are the properties of real numbers?
TRANSCRIPT
Section P-1Section P-1
What are the properties of What are the properties of real numbers?real numbers?
Real NumbersReal Numbers
Symbol (R)Symbol (R)
May be described informally in many May be described informally in many different waysdifferent ways
Natural NumbersNatural Numbers
Symbol (N)Symbol (N)
Also called counting numbersAlso called counting numbers
Examples: {1,2,3,4…..}Examples: {1,2,3,4…..}
Whole NumbersWhole Numbers
Symbol (W)Symbol (W)
Also called counting numbers Also called counting numbers plus zeroplus zero
Examples: {0,1,2,3,4…..}Examples: {0,1,2,3,4…..}
IntegersIntegers
Symbol (J)Symbol (J)
Positive and negative whole numbersPositive and negative whole numbers
Examples: {…-3,-2,-1,0,1,2,3…}Examples: {…-3,-2,-1,0,1,2,3…}
Rational NumbersRational Numbers
Symbol (Q)Symbol (Q)
Numbers that can be written as fractionsNumbers that can be written as fractions
Ex: whole numbers 6/3=2Ex: whole numbers 6/3=2
repeating decimals 1.232323 . . .repeating decimals 1.232323 . . .
terminating decimals 1.85692terminating decimals 1.85692
Irrational Numbers Irrational Numbers
Symbol (I)Symbol (I)
Non-terminating numbersNon-terminating numbers Ex: Ex: ππ, Square root of 2, Square root of 2
Non-repeating decimals that never endNon-repeating decimals that never end Ex: 1.849573495638974….Ex: 1.849573495638974….
QuizQuiz
1.1. Zero is a real number?Zero is a real number?
2.2. Real numbers are a subset of rational Real numbers are a subset of rational numbers?numbers?
3.3. Irrational numbers are not a subset of Irrational numbers are not a subset of rational numbersrational numbers
4.4. 6/3 is a rational number6/3 is a rational number
5.5. 0 is a natural number0 is a natural number
Define these propertiesDefine these properties
Closure PropertyClosure Property
Commutative PropertyCommutative Property
Associative PropertyAssociative Property
Distributive PropertyDistributive Property
Identity PropertyIdentity Property
Multiplication Property of ZeroMultiplication Property of Zero
Additive Inverse PropertyAdditive Inverse Property
Multiplicative inverse propertyMultiplicative inverse property
Define these propertiesDefine these properties
Reflexive PropertyReflexive Property
Symmetric PropertySymmetric Property
Transitive PropertyTransitive Property
Substitution PropertySubstitution Property
Trichotomy PropertyTrichotomy Property
VocabularyVocabulary
Additive IdentityAdditive Identity
Multiplicative IdentityMultiplicative Identity
Additive InverseAdditive Inverse
Multiplicative Inverse (aka ???)Multiplicative Inverse (aka ???)
Absolute ValueAbsolute Value
If a and b are any two points on the number line, then the distance between a and b is │a - b│. AKA, d(a,b) = │a - b│
PEMDASPEMDAS
Please (parenthesis, brackets, grouping Please (parenthesis, brackets, grouping symbols)symbols)
Excuse (Exponents)Excuse (Exponents)
My (Multiply)My (Multiply)
Dear (Divide)Dear (Divide)
Aunt (Add)Aunt (Add)
Sally (Subtract)Sally (Subtract)***multiply and divide are done in order from left to right. . . Same with add and subtract***multiply and divide are done in order from left to right. . . Same with add and subtract