1. Slide 5 - 1 Copyright © 2009 Pearson Education, Inc. Welcome to MM-150 Kaplan University

2. Slide 5 - 2 Copyright © 2009 Pearson Education, Inc. Keys to Success Early start each week Communication, communication, communication Getting Help when you need it.  We will have a virtual field trip about class resources for help last 15 minutes of this seminar  http://khe2.acrobat.com/kumcfieldtrip

3. Slide 5 - 3 Copyright © 2009 Pearson Education, Inc. Weekly Assignments My Math Lab - 60 pts.  Can do problem multiple times  Help tab on right  Pearson help center  Can start and stop up until the deadline

4. Slide 5 - 4 Copyright © 2009 Pearson Education, Inc. Weekly Assignments Discussion Board - 35 pts.  3 posts with mathematical content (1 answering the posted question, two interacting with me and fellow students  Must have mathematical content to count toward posts (For Example: “I like that!” Or “I agree” are nice and appreciated, but will not count toward your credit).  Posts do not have to be “perfect” to get credit

5. Slide 5 - 5 Copyright © 2009 Pearson Education, Inc. Other Assignment Final Project  Apply math to chosen career field  Due in unit 9  Start to discuss in unit 6 (examples are attached in the unit 6 final project area)

6. Slide 5 - 6 Copyright © 2009 Pearson Education, Inc. Where to Get Help  Seminar Wednesday 10 PM ET with Robert Elmore  Units 1, 2, 4, 8 Thursday 4 pm ET with me (Eric Aurand)  Units 1, 3, 7, 9 Thursday 10 PM ET with Bashkim Zendeli  Units 1, 3, 5, 7 All of the above Seminars for the course will be archived for your review  Supplementary Materials On the Unit Tab Made by KU faculty to help you with the MML assignments

7. Slide 5 - 7 Copyright © 2009 Pearson Education, Inc. Where to Get Help MML  (Pearson) Help Center  “Help me Solve it” Button  “Ask my instructor” Button Kaplan Math Center (Virtual field trip today at last 15 minutes of seminar) Course Questions Tab Email Office hours  Mine are Thursdays 3 - 4pm ET  AIM: DocEricAurand Support Group

8. Slide 5 - 8 Copyright © 2009 Pearson Education, Inc. Chapter 1 Number Theory and the Real Number System

9. Slide 5 - 9 Copyright © 2009 Pearson Education, Inc. 1.1 Number Theory

10. Slide 5 - 10 Copyright © 2009 Pearson Education, Inc. Prime and Composite Numbers A prime number is a natural number greater than 1 that has exactly two factors (or divisors), itself and 1. A composite number is a natural number that is divisible by a number other than itself and 1. The number 1 is neither prime nor composite, it is called a unit.

11. Slide 5 - 11 Copyright © 2009 Pearson Education, Inc. Example of branching method Therefore, the prime factorization of 3190 = 2 5 11 29.

12. Slide 5 - 12 Copyright © 2009 Pearson Education, Inc. Greatest Common Divisor The greatest common divisor (GCD) of a set of natural numbers is the largest natural number that divides (without remainder) every number in that set.

13. Slide 5 - 13 Copyright © 2009 Pearson Education, Inc. Example (GCD) Find the GCD of 63 and 105. 63 = 3 2 7 105 = 3 5 7 Smallest exponent of each factor: 3 and 7 So, the GCD is 3 7 = 21.

14. Slide 5 - 14 Copyright © 2009 Pearson Education, Inc. Least Common Multiple The least common multiple (LCM) of a set of natural numbers is the smallest natural number that is divisible (without remainder) by each element of the set.

15. Slide 5 - 15 Copyright © 2009 Pearson Education, Inc. Example (LCM) Find the LCM of 63 and 105. 63 = 3 2 7 105 = 3 5 7 Greatest exponent of each factor: 3 2, 5 and 7 So, the LCM is 3 2 5 7 = 315.

16. Slide 5 - 16 Copyright © 2009 Pearson Education, Inc. Virtual Field Trip Kaplan Math Center http://khe2.acrobat.com/kumcfieldtrip Login using the “Enter as a Guest” option. Type your name in the guest box and click “Enter Room”. “See” you there!