Section 1.2 Introduction to Whole Numbers 5 9. Do you think that you have math anxiety? Read the following list for some possible solutions. Check the activities that you can realistically try to help you overcome this problem. Read a book on math anxiety. Search the Web for tips on handling math anxiety. See a counselor to discuss your anxiety. Talk with your instructor to discuss strategies to manage math anxiety. Evaluate your time management to see if you are trying to do too much. Then adjust your schedule accordingly. 10. Some students favor different methods of learning over others. For example, you might prefer: • Learning through listening and hearing. • Learning through seeing images, watching demonstrations, and visualizing diagrams and charts. • Learning by experience through a hands-on approach. • Learning through reading and writing. Most experts believe that the most effective learning comes when a student engages in all of these activities. However, each individual is different and may benefit from one activity more than another. You can visit a number of different websites to determine your “learning style.” Try doing a search on the Internet with the key words “learning styles assessment.” Once you have found a suitable website, answer the questionnaire and the site will give you feedback on what method of learning works best for you. 11. As you read through Chapter 1, try to become familiar with the features of this textbook. Then match the feature in column B with its description in column A. Column A Column B 1. Allows you to check your work as you do a. Tips your homework b. ConnectMath 2. Shows you how to avoid common errors c. Skill Practice exercises 3. Provides an online tutorial and exercise supplement d. Problem Recognition 4. Outlines key concepts for each section in the chapter Exercises 5. Provides exercises that allow you to distinguish e. Answers to odd exercises between different types of problems f. Chapter Summary 6. Offers helpful hints and insight g. Avoiding Mistakes 7. Offers practice exercises that go along with each example Introduction to Whole Numbers Concepts 1. Place Value 2. Standard Notation and Expanded Notation 3. Writing Numbers in Words 4. The Number Line and Order 1. Place Value Numbers provide the foundation that is used in mathematics. We begin this chapter by discussing how numbers are represented and named. All numbers in our numbering system are composed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In mathematics, the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, . . . are called the whole numbers. (The three dots are called ellipses and indicate that the list goes on indefinitely.) For large numbers, commas are used to separate digits into groups of three called periods. For example, the number of live births in the United States in a recent year was 4,058,614. (Source: The World Almanac) Numbers written in this way are said to be in standard form. The position of each digit determines the place value of the digit. To interpret the number of births in the United States, refer to the place value chart (Figure 1-1). Section 1.2
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