Slide 5 - 1 Copyright © 2009 Pearson Education, Inc. Welcome to MM-150 Kaplan University.
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Transcript of Slide 5 - 1 Copyright © 2009 Pearson Education, Inc. Welcome to MM-150 Kaplan University.
Slide 5 - 1Copyright © 2009 Pearson Education, Inc.
Welcome to MM-150
Kaplan University
Slide 5 - 2Copyright © 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
Slide 5 - 3Copyright © 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
Slide 5 - 4Copyright © 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
Slide 5 - 5Copyright © 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)
Slide 5 - 6Copyright © 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
Slide 5 - 7Copyright © 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
Slide 5 - 8Copyright © 2009 Pearson Education, Inc.
Chapter 1
Number Theory and the Real Number System
Slide 5 - 9Copyright © 2009 Pearson Education, Inc.
1.1
Number Theory
Slide 5 - 10Copyright © 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.
Slide 5 - 11Copyright © 2009 Pearson Education, Inc.
Example of branching method
Therefore, the prime factorization of
3190 = 2 • 5 • 11 • 29.
Slide 5 - 12Copyright © 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.
Slide 5 - 13Copyright © 2009 Pearson Education, Inc.
Example (GCD)
Find the GCD of 63 and 105.
63 = 32 • 7
105 = 3 • 5 • 7 Smallest exponent of each factor:
3 and 7 So, the GCD is 3 • 7 = 21.
Slide 5 - 14Copyright © 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.
Slide 5 - 15Copyright © 2009 Pearson Education, Inc.
Example (LCM)
Find the LCM of 63 and 105.
63 = 32 • 7
105 = 3 • 5 • 7 Greatest exponent of each factor:
32, 5 and 7 So, the LCM is 32 • 5 • 7 = 315.
Slide 5 - 16Copyright © 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!