Welcome MM255 – Business Math Seminar 1 Nand Arora Instructor

Welcome On behalf of Kaplan University I would like to welcome each and every one of you to my class Business Math (MM255) Please do not hesitate to ask questions. I am here to help.

Instructor Information Email: narora@kaplan.edu AIM: nandarora Office Hours: By appointment only

Expectations Please carefully review your syllabus for detailed instructions and expectations. There is no textbook for this course however PDF files of each chapter are posted under “reading”. Please print each file, carefully read before completing your assignment. Please email your questions in a timely manner.

Discussions The Discussion Board Requirement: Students are to post a minimum of three posts per Discussion Board Question. One initial response and two replies to their classmates Posting on a minimum of three different days, for example: Wednesday, Friday and Monday The first post must be made by Saturday.

Discussions Questions should be answered under their own tab. Please be sure to answer all questions in detail Your commitment is necessary to receive full grade. Do not take short cuts. Late posts are not permitted under any circumstances. Please plan ahead

MML Homework All “assignments” must be taken in a timely manner. Can be taken multiple times No time limit during the week they are due. Dates are set by Kaplan University.

Instructor Graded Assignments Located under “Doc sharing” “instructor graded assignments” tab. All assignments must be turned in the “drop box” only. Assignments are not accepted via email. Late assignments are subject to late penalty. Late assignments will be marked down one letter grade for each unit the assignment is late. (10% per unit). No work will be accepted more than three units after the due date.

Flex Seminars All times are EST. Seminars are worth 5 points. Must attend the whole seminar and participate actively to receive credit. Students are strongly encouraged to attend all seminars. This is the best time to ask questions from your assignments. You are free to choose any or all of the available seminars. See syllabus for available seminars. Or you may select Seminar Option 2 – complete the MML Quiz instead to receive credit.

Seminar Rules and Structure Usual format of seminar will involve discussion of a concept and then responding to questions I post on the concept. Have your unit It is important that you try to participate rather than simply watch. This will not be a lecture, but more like a problem-solving session. Come to seminar prepared! Be ready to ask questions, do the problems, and answer questions that your classmates ask.

Seminar Etiquette The same behavior rules apply for our seminars as you would have in a face-to-face class. Once class starts, you wouldn’t carry on a conversation with your neighbor. If you arrive late (or leave early) YOU DO NOT NEED TO ANNOUNCE IT TO EVERYONE. Just go about your business and don’t disrupt the seminar.

Grading I usually grade all your assignments only once a week on Fridays after the unit closes but no later than Sunday.

Late Policy Please note that I will not accept any late “discussions” or “MML Homework” under any circumstances. I will however, accept late “assignments” listed under assignments, subject to late penalties of 10% each week up to maximum three weeks late.

Available Resources MyMathLab – “Ask my Instructor” Kaplan Math Center – live tutors & seminars Discussion Boards – ask for help Seminar discussions Internet resources Online Textbook (Use “Ungraded Tutorials/Multimedia Textbook”) Study Buddy (exchange e-mails)

Unit 1 Seminar Instructor <<Nand Arora>> Welcome to MM255! Unit 1 Seminar Instructor <<Nand Arora>> <<narora@kaplan.edu>>

Seminar Outline Instructor Information and Style Seminar Rules, Structure, & Etiquette Your Seminar Options for Grading Discussion Board Assignments Student Resources Review of Math Concepts Unit 1 Completed Work Checklist

Seminar Rules, Structure, Etiquette Usual format of seminar will involve discussion of a concept and then responding to questions I post on the concept. Have your textbook handy!! It is important that you try to participate rather than simply watch. This will not be a lecture, but more like a problem-solving session. Come to seminar prepared! Be ready to ask questions, do the problems, and answer questions that your classmates ask. The same behavior rules apply for our seminars as you would have in a face-to-face class. Once class starts, you wouldn’t carry on a conversation with your neighbor. If you arrive late or need to leave early, you DO NOT need to announce it. Just go about your business and don’t disrupt the seminar.

Flexible Seminars Seminars are graded for 5 points towards your grade. Seminar Option 1 – You are free to choose any or all of the available seminars. Available seminars: Seminar Option 2 – Complete the MML Quiz. Under the Unit # click the “Seminar” link to start the quiz. You have 1 hour to complete the 5 question quiz and you can only take it once. Course # Section Course Seminar Day & Time New seminar time Instructor MM255 03 Business Mathematics NWS Wednesday,8:00PM Disli , Andrei 04 Sunday, 7:00PM Arora , Nand 06 Thursday, 9:00PM Myers, Alan 11 Thursday, 10:00PM Vickerie, Maxim

Discussion Board (25 pts each unit) Participation in discussion is required. You are expected to contribute to ONE of the Discussion Questions in each unit. You should read all responses of other students and add two of your own responses in addition to the initial post. To be clear: Students are to post a minimum of three posts per discussion question. One initial response and two replies to classmates. The first post must be made by Saturday, midnight. During discussions, you must demonstrate not only that you understand the subject matter but also that you can apply what you have learned, analyze it, integrate it with knowledge you already have, and evaluate it critically. Your postings should be appropriate and timely contributions that add value to the discussion.

Assignments MML: My Math Lab (30 points each unit) No time limit to complete. You can submit multiple times up until Tuesdays at Midnight Be sure to click “Save” once you complete the assignment. It is good practice to check that your grade is in the MM255 grade book. If it is not you have two options. Reenter the assignments and click Save again. Notify me via email and I can post the grade over. Instructor Graded Assignments (45 points each unit) See the announcement titled “Where are the Instructor Graded Projects” Download the assignment from Doc Sharing and submit prior to Tuesday at midnight. Word or excel is accepted. Email me IN ADVANCE if you need extra time.

Available Resources (MML) MyMathLab – “Ask my Instructor” Kaplan Math Center – live tutors & seminars Discussion Boards – ask for help Seminar discussions Internet resources Online Textbook (Use “Ungraded Tutorials/Multimedia Textbook”) Study Buddy (exchange e-mails)

Questions before we start a review of math concepts….

Addition of Real Numbers Same Sign Rule: if you are adding two terms of the same sign - both positive or both negative - then add the values and keep the sign. For example: 4 + 6 = 10 12 + 3 = 15 -3 + (-8) = -11 -2 + (-5) = -7 Positive/Negative Numbers: Think of it as adding and subtracting from your checking account. Sum is the “current balance”. add: 34 + 14   Answer: 48 Here is another one: Add: -5 + (-11) Answer: -16

What about fractions? For fractions and mixed numbers, you must have a common denominator before you perform the operation. Unless told otherwise, always reduce fraction answers to lowest terms. For decimal numbers, line up the decimal points.

Practice Problems 1/5 + 3/5 = 4/5 -2/3 + (-4/3) = -6/3 = -2 ½ + 2/5 = 5/10 + 4/10 = 9/10 -3/4 + (-1/3) = -9/12 + (-4/12) = -13/12  -3.4 + (-2.25) = -5.65 Try this on- add: -3/8 + (-2/5) Answer: -3/8 + (-2/5) = -15/40 + (-16/40) = -31/40 How about -6.5 + (-11.07) = -17.57

Addition – Different Signs Different Signs Rule: if you are adding two terms that have different signs - one term is positive and the other is negative - then subtract the smaller from the larger, and take the sign of the larger number. 3 + (-4) = -1 6/7 + (-2/7) = 4/7 -7 + 9 = 2 -11/12 + 8/9 = -33/36 + 32/36 = -1/36 5.4 + (-1.111) = 4.289 Now, add: 3/4 + (-4/3) Answer: 3/4 + (-4/3) = 9/12 + (-16/12) = -7/12

Addition – Multiple Terms 1 + (-2) + 3 + (-4) + 5 + (-6) Starting at the left, add the first pair of numbers using the appropriate sign rule, take that answer and add it to the next number using the appropriate sign rule, and so on until you’re done. Note: This only works if ALL operations are ADDITION. Answer: -3

Practice Problem 1 + (-2) + 3 + (-4) + 5 + (-6) = -1 + 3 + (-4) + 5 + (-6) = 2 + (-4) + 5 + (-6) = -2 + 5 + (-6) = 3 + (-6) = -3

Subtraction of Real Numbers Subtraction is really an addition of a negative quantity. (I don’t really need to use the parentheses here, but it helps sometimes.) 4 - 9 = 4 + (-9)

Practice Problems a.) 5 - 15 b.) -3 – 7 c.) -12 - (-14) d.) -5 – (-5) e.) 1/6 - 3/10 f.) -12.1 - 6.78 Answers: -10, -10, +2 -5 – (-5) = 0 5/30 - 9/30 = 5/30 + (-9/30) = -4/30 = -2/15 -12.1 + (-6.78) = -18.88

Practice Problem Answers a.) - 10 b.) -10 c.) 2 d.) 0 e.) 5/30 – 9/30 = -4/30 f.) -18.88 Answers: -10, -10, +2 -5 – (-5) = 0 5/30 - 9/30 = 5/30 + (-9/30) = -4/30 = -2/15 -12.1 + (-6.78) = -18.88

Multiplication 5 * 7 = 5(7) = (5)(7) = 5·7 Note: 5x7 is also correct, but since x is frequently used as a variable, it is better to use another notation.

Multiplication of fractions

Mixed fractions = 77/8

Multiplication of Decimals Multiply 3 times 5 = 15 Figure out how many total places there are to the right of the decimal in the two factors. (3 in 0.003 ) + (1 in 0.5) = (4 places) Add zeros as place-holders in product.

Look at this example. 3.45 x 4.082 = How many places are there to the right of the decimal point? Five; so, the answer will have five places to the right of the decimal. The answer is 14.08290 The last zero can be dropped and the answer would be 14.0829.

Division Notation for division may vary.

Division of fractions Dividing fractions: rewrite the division as the first (as is) times the reciprocal of the second (flip it over). Then follow the steps for fraction multiplication.

What about the signs? Sign rules for multiplication & division:   Two positives = positive Two negatives = positive One of each sign = negative In general, perform your multiplication and division normally, and just remember to put on the correct final sign (positives being invisible, of course).

Practice Problems a.) 3 * (-2) b.) (-9)/(-3) c.) (-1/2)*(1/3) d.) 57/(-19) e.) (-12.3)/(-3) f.) 3/0 Answers: -10, -10, +2 -5 – (-5) = 0 5/30 - 9/30 = 5/30 + (-9/30) = -4/30 = -2/15 -12.1 + (-6.78) = -18.88

Practice Problem Answers a.) - 6 b.) 3 c.) -1/6 d.) -3 e.) 4.1 f.) Cannot divide by 0. Answers: -10, -10, +2 -5 – (-5) = 0 5/30 - 9/30 = 5/30 + (-9/30) = -4/30 = -2/15 -12.1 + (-6.78) = -18.88

Review of Unit 1 Work By Tuesday at Midnight you must complete: Introduce yourself An initial post to one discussion question Two responses to other student posts to discussion questions MML assignment Instructor graded assignment Seminar 1 quiz if you did not attend a seminar