Homework: p odd, odd, odd, odd, and odd
Chapter P has a lot of review topics from your previous math years! Variable – represents various numbers Algebraic expression – combination of variables and numbers Exponential Notation: Order of operations: PEMDAs; left to right Equations – general rule of thumb…variables on the left when reporting the solution – values on the right. Solutions should always be identified and “boxed”. Model – develop a model means to write an equation that represents a set of data
Guided Practice… Evaluate the algebraic expression:
Sets Set – collection of objects whose contents can be clearly determined. Elements: objects of a set { 1,2,3,4,5…} – brackets illustrate a set – called the roster method when individual elements are separated by a comma Set-builder notation: {x|x is a counting number less than 6} = the set of all x such that x is a counting number less than 6 Intersecting sets: the intersection of sets A and B, written, is the set of elements common to both set A and set B. ={x|x is an element of A and x is an element of B}
Guided Practice… Find the intersection of two sets: More set info… The union of sets A and B, written, is the set of elements that are members of set A or of set B. This expression can be expressed in set-builder notation as:
Guided Practice… Find the union of two sets: Information to remember: and = intersection (what sets have in common) or = union (everything in each of the sets)
The Set of Real Numbers : Name/SymbolDescriptionExamples Natural Numbers (N) Counting numbers2,3,5,17 Whole Numbers (W) The set of whole numbers includes 0 and the natural numbers. 0,2,3,5,17 Integers (Z) The set of integers includes the negatives of the natural numbers and the whole numbers. -17,-5,-2,0,2,3,5,17 Rational Numbers (Q) The set of rational numbers includes numbers that can be expressed as a quotient of 2 integers (denominator not 0). Terminating or repeating decimals. 2/5=0.4 -2/3 = … (calculator tricks!!) Irrational Numbers (I) The set of irrational numbers is the set of numbers whose decimal representations are neither repeating or terminating. Cannot be expressed as a quotient of integers. Real Numbers (R) The set that includes rational and irrational numbers The union of rational and irrational numbers.
More algebra stuff to remember…
Guided Practice…
And even more algebra stuff to remember… Guided Practice…
Properties of Real Numbers : NameMeaning Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Distributive Property of Multiplication over Addition Identity Property of Addition Identity Property of Multiplication Inverse Property of Addition Inverse Property of Multiplication
Guided Practice…