1. KU 122: Introduction to Math Skills and Strategies Prof. Scott Brown Unit 1 Seminar

2. Welcome! Tonight’s Agenda: 1. Introductions 2. Course Syllabus 3. What is the MML? (Registering for the MML) 4. Assignments for this course 5. Final Exam 6. Chapter 1 7. Questions and Wrap Up

3. Course Syllabus The course syllabus is located under Course Home and in DocSharing. You can save the syllabus on your computer, or you can print it out.

4. Types of Assignments You have several types of assignments in this course: 1. Live seminars. If you do not attend the live seminar, you have to take the seminar quiz in order to receive seminar credit. 2. MML Quizzes. These are taken through MML each week. 3. Final Exam. This is taken during Unit 9 on MML. 4. Projects. You have four projects during the term. Each one will be downloaded and completed in Microsoft Word.

5. Types of Assignments Discussion Board. Follow the directions to post the answer or answers to at least two classmates. Practice Problems. These are assigned on the class website and located in the textbook. They will not be graded, but you will be able to check your answers easily in the textbook. Remember, practice makes perfect! MML Upgraded Tutorial. These will help you solve problems, but they are not graded. They are located on MML.

6. MML Quizzes You have quizzes each week on MML. You only have 12 hours to take them (but they will NOT take 12 hours to complete). Just do not start taking it until you are ready. Do the tutorial, read the chapter, and do the problems before you start the quiz.

7. My Math Lab (MML) You need to log into the MML to get registered before you can start taking any quizzes or viewing the tutorials. Please do so as soon as possible. For more information on using the MML, look at the MML Resources area under Course Home on the class website.

8. Whole Numbers 1.1Standard Notations 1.2Addition and Subtraction 1.3Multiplication and Division; Rounding and Estimating 1.4Solving Equations 1.5Applications and Problem Solving 1.6Exponential Notation and Order of Operations 1.7Factorizations 1.8Divisibility 1.9Least Common Multiples Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 1

9. Slide 1- 9 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Place Value A digit is a number 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 that names a place-value location. For large numbers, digits are separated by commas into groups of three, called periods. Each period has a name: ones, thousands, millions, billions, trillions, and so on. OnesThousandsMillionsBillionsTrillions PLACE-VALUE CHART Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones

10. Slide 1- 10 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley 845182048542 OnesThousandsMillionsBillionsTrillions PLACE-VALUE CHART Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones 245 billions, 840 millions, 281 thousands, 548 ones

11. Slide 1- 11 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.1 1. In the number 623,841, which digit tells the number of 10 thousands? a) 5 b) 8 c) 6 d) 2

12. Slide 1- 12 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.1 1. In the number 623,841, which digit tells the number of 10 thousands? a) 5 b) 8 c) 6 d) 2

13. Slide 1- 13 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.1 2. Write expanded notation for 7205. a) 7 thousands + 2 hundreds + 5 tens b) 7 thousands + 2 hundreds + 5 ones c) 7 thousands + 2 tens + 5 ones d) 2 thousands + 7 hundreds + 5 ones

14. Slide 1- 14 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.1 2. Write expanded notation for 7205. a) 7 thousands + 2 hundreds + 5 tens b) 7 thousands + 2 hundreds + 5 ones c) 7 thousands + 2 tens + 5 ones d) 2 thousands + 7 hundreds + 5 ones

15. Slide 1- 15 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.5 1. A box contains 5750 paperclips. How many orders can be filled from the box if each order requires 250 paperclips? a) 23 b) 25 c) 30 d) 50

16. Slide 1- 16 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.5 1. A box contains 5750 paperclips. How many orders can be filled from the box if each order requires 250 paperclips? a) 23 b) 25 c) 30 d) 50

17. Slide 1- 17 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.4 1. Solve: 32 + x = 71 a) 103 b) 39 c) 41 d) 43

18. Slide 1- 18 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.4 1. Solve: 32 + x = 71 a) 103 b) 39 c) 41 d) 43

19. Slide 1- 19 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.4 2. Solve: 13  y = 234 a) 24 b) 14 c) 28 d) 18

20. Slide 1- 20 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.4 2. Solve: 13  y = 234 a) 24 b) 14 c) 28 d) 18

21. Slide 1- 21 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Solutions of an Equation A solution is a replacement for the variable that makes the equation true. When we find all the solutions, we say that we have solved the equation.

22. Slide 1- 22 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example A Solve x + 15 = 39 by trial. Solution We replace x with several numbers.

23. Slide 1- 23 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example A Solve x + 15 = 39 by trial. Solution We replace x with several numbers. If we replace x with 22, we get a false equation: 22 + 15 = 39. If we replace x with 23, we get a false equation: 23 + 15 = 39. If we replace x with 24, we get a true equation: 24 + 15 = 39. No other replacement makes the equation true, so the solution is 24.

24. PEMDAS Please Excuse My Dear Aunt Sally P= Parenthesis E= Exponents M= Multiply D= Division A= Addition S= Subtraction

25. Slide 1- 25 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Rules for Order of Operations 1. Do all calculations within parentheses ( ), brackets [ ], or braces { } before operations outside. 2. Evaluate all exponential expressions. 3. Do all multiplications and divisions in order from left to right. 4. Do all additions and subtractions in order from left to right.

26. Slide 1- 26 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Exponential Notation The 5 is called an exponent. The 4 is the base. xxxx

27. Slide 1- 27 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example B Evaluate: 8 4 and 10 4 Solution

28. Slide 1- 28 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example B Evaluate: 8 4 and 10 4 Solution 8 4 = 8  8  8  8 = 4096 10 4 = 10  10  10  10 = 10,000

29. Slide 1- 29 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example A Write exponential notation for 7  7  7  7  7  7. Solution Exponential notation is 7 6 7 is the base. 6 is the exponent.

30. Slide 1- 30 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example B Write exponential notation for 3  3  3  3  3  3  3. Solution

31. Slide 1- 31 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example B Write exponential notation for 3  3  3  3  3  3  3. Solution Exponential notation is 3 7 3 is the base. 7 is the exponent.

32. Slide 1- 32 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.6 1. Simplify. 2 3 + 56  7 a) 9 b) 14 c) 16 d) 64

33. Slide 1- 33 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.6 1. Simplify. 2 3 + 56  7 a) 9 b) 14 c) 16 d) 64

34. Examples For PEMDAS 10*5 – (18+2) / 2 –(9-7) 10*5 – (20) /2 – (2) 50-20/2-2 50-10-2 40-2 38

35. Slide 1- 35 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.8 2. Determine which of the following is divisible by 3. a) 3106 b) 2251 c) 1239 d) 1172

36. Slide 1- 36 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.8 2. Determine which of the following is divisible by 3. a) 3106 b) 2251 c) 1239 d) 1172

37. Slide 1- 37 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Multiples A multiple of a natural number is a product of that number and some natural number. We find multiples of 2 by counting by twos: 2, 4, 6, 8, and so on. We can find multiples of 3 by counting by threes: 3, 6, 9, 12, and so on.

38. Slide 1- 38 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.9 1. Find the LCM of 16 and 40. a) 40 b) 80 c) 120 d) 640

39. Slide 1- 39 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Section 1.9 1. Find the LCM of 16 and 40. a) 40 b) 80 c) 120 d) 640

40. Slide 1- 40 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example B Find all the factors of 72. Solution Check sequentially the numbers 1, 2, 3, and so on, to see if we can form any factorizations.

41. Slide 1- 41 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison- Wesley Example B Find all the factors of 72. Solution Check sequentially the numbers 1, 2, 3, and so on, to see if we can form any factorizations. 1  72 2  36 3  24 4  18 6  12 8  9

42. Unit 1 Assignments The following assignments are due by 11:59 ET on Tuesday: 1. Live Seminar—you are almost finished! 2. Discussion Board 3. Introduce yourself 4. Complete the practice problems (but don’t turn them in) 5. MML Quiz