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)

Welcome to MM255!

Unit 1 SeminarInstructor <<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

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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.

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Flexible SeminarsSeminars 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. 18

Course #

Section Course Seminar Day & Time New seminar time Instructor

MM255 03 Business Mathematics NWS Wednesday,8:00PM Disli , AndreiMM255 04 Business Mathematics NWS Sunday, 7:00PM Arora , NandMM255 06 Business Mathematics NWS Thursday, 9:00PM Myers, AlanMM255 11 Business Mathematics NWS 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.

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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.1. Reenter the assignments and click Save again. 2. 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.

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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)

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Questions before we start a review of math concepts….

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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 = 1012 + 3 = 15-3 + (-8) = -11-2 + (-5) = -7

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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.

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• 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

Practice Problems

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• 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) = -16/7 + (-2/7) = 4/7-7 + 9 = 2-11/12 + 8/9 = -33/36 + 32/36 = -1/365.4 + (-1.111) = 4.289

Addition – Different Signs

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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.

Addition – Multiple Terms

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• 1 + (-2) + 3 + (-4) + 5 + (-6)• = -1 + 3 + (-4) + 5 + (-6)• = 2 + (-4) + 5 + (-6)• = -2 + 5 + (-6)• = 3 + (-6)• = -3

Practice Problem

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• Subtraction is really an addition of a negative quantity.

(I don’t really need to use the parentheses here, but it helps sometimes.)

Subtraction of Real Numbers

4 - 9 = 4 + (-9)

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Practice Problems

a.) 5 - 15 

b.) -3 – 7

c.) -12 - (-14)

d.) -5 – (-5)

e.) 1/6 - 3/10

f.) -12.1 - 6.78

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Practice Problem Answers

a.) - 10 

b.) -10

c.) 2

d.) 0

e.) 5/30 – 9/30 = -4/30

f.) -18.88

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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.

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3 1 3

4 2 8

3 3 8 24 12 28 2

10 10 1 10 5 5

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1 10 7 10 70 353

2 4 2 4 8 4

Mixed fractions

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• 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.

Multiplication of Decimals

0.003 0.5 0.0015

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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.

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• Notation for division may vary.

Division

1616 3 16 / 3 3 16

3

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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.

Division of fractions

16 16 2 32(1/ 2)

3 3 1 3

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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).

What about the signs?

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Practice Problems

a.) 3 * (-2)

b.) (-9)/(-3)

c.) (-1/2)*(1/3)

d.) 57/(-19)

e.) (-12.3)/(-3)

f.) 3/0

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Practice Problem Answers

a.) - 6 

b.) 3

c.) -1/6

d.) -3

e.) 4.1

f.) Cannot divide by 0.

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Review of Unit 1 Work

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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