1 1 number theory

Unit 1 Functions and Relations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

1-1 Number Theory Unit 1 Functions and Relations

Concepts and Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Number Systems ,[object Object]

Number Systems ,[object Object],[object Object]

Properties of Real Numbers ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],For all real numbers a , b , and c :

Properties of Real Numbers ,[object Object],[object Object],[object Object],[object Object]

Properties of Real Numbers ,[object Object],[object Object],[object Object]

Properties of Real Numbers ,[object Object],[object Object],[object Object],[object Object],[object Object]

Order of Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],working from left to right working from left to right

Order of Operations ,[object Object],[object Object],[object Object]

Order of Operations ,[object Object]

Order of Operations ,[object Object],1. –6 2. –60

Absolute Value ,[object Object]

Absolute Value Properties ,[object Object]

Absolute Value ,[object Object],2.  – 2 3. –1

Rational Numbers ,[object Object],[object Object],[object Object]

Examples ,[object Object],[object Object],[object Object],[object Object]

Examples ,[object Object],[object Object],[object Object],[object Object],4

Irrational Numbers ,[object Object],[object Object],[object Object]

Real Numbers ,[object Object],[object Object], (1,1)

Real Numbers ,[object Object],[object Object]

Intervals b a b a b a b a b a b a b a b a b a b a b a b a Name of Interval Notation Inequality Description Number Line Representation finite, open ( a , b ) a < x < b finite, closed [ a , b ] a  x  b finite, half-open ( a , b ] [ a , b ) a < x  b a  x < b infinite, open ( a ,  ) (-  , b ) a < x <  -  < x < b infinite, closed [ a ,  ) [-  , b ] a  x <  -  < x  b

Finite and Repeating Decimals ,[object Object],[object Object]

Finite and Repeating Decimals ,[object Object],[object Object],6

Finite and Repeating Decimals ,[object Object],Type of Decimal Examples General Form terminating 0.5, 0.25, 0.2, 0.125, 0.0625 simple-periodic delayed-periodic

Decimal Representation ,[object Object],[object Object],[object Object]

Decimal Representation ,[object Object],[object Object]

Decimal Representation ,[object Object],[object Object],[object Object],[object Object]

Decimal Representation ,[object Object]

1 1 number theory

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1 1 number theory