Transcript Document
Welcome to MM150 Seminar 1: Number Theory To resize your pods: Place your mouse here. Left mouse click and hold. Drag to the right to enlarge the pod. To maximize chat, minimize roster by clicking here Keys to Success in MM150 • Complete ALL learning activities for each unit on time Do your best and move on, even if you don't understand the material 100% Small points add up (DB, seminar) • Use the Discussion Board as your classroom Explaining a concept clarifies and solidifies your knowledge Reading the posts of other students brings up questions you may not have considered • Attend seminar if you can Seminars will be designed to help you with your assignments • Ask questions Please don't be shy! If you have a question, someone else probably has the same question. There are no dumb questions. The Prime Numbers 2, 3, 5, 7, 11, 13, 17, … only divisible by 1 and themselves (section 1.1) Find the prime factorization of 72 (section 1.1) True or false? 5 | 12 (section 1.2) 5 | 12 means “5 divides evenly into 12” The Integers … -3, -2, -1, 0, 1, 2, 3, … (section 1.2) Multiply (-3)(-2)(-5) (section 1.2) Simplify -7 - 9 (section 1.2) Simplify -10 - 3 + 6 Simplify 12 + [ - 4 + (- 10) ] (section 1.2) How many degrees warmer is 78o F than - 10o F ? (section 1.2) The Rational Numbers (section 1.3) Numbers that can be written as either - fractions 3/5 - terminating decimal 0.55 - repeating decimal 0.3333… written as 0.3 Example of a NON-rational (irrational) number doesn't terminate or repeat Express as a decimal 3/11 (section 1.3) (section 1.3) When David Conway finished his first year of high school his height was 7 inches. When he returned to school after the summer his height 69 8 was summer? 71 3 4 inches. How much did David’s height increase over the (section 1.3) Ann is making a quilt. For each row of the quilt she will sew together 20 square pieces that are each inch wide. How wide will the quilt be? The Irrational Numbers Examples of irrational numbers (section 1.4) Rational or Irrational ? (section 1.4) Simplify (section 1.4) Add (section 1.4) Add (section 1.4) Properties of the Real Numbers Commutative Associative Distributive 4+2=2+4 (section 1.5) change the order (1 +7) + 9 = 1 + (7 + 9) 3*(5 + 8) = 3*5 + 3*8 grouping remove parentheses State the name of the property #1) (8 + 2) + 5 = (2 + 8) + 5 #2) (8 + 2) + 5 = 8 + (2 + 5) #3) 7*(x + 2) = 7*x + 7*2 (section 1.5) Associative? (section 1.5) Crack an egg, pour it into a bowl, cook the egg. Exponents and Scientific Notation Big number in Scientific Notation Small number in Scientific Notation (section 1.6) 6.73 x 108 8.92 x 10-4 Express in Scientific Notation 0.00045 13,420,000 (section 1.6)