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01C-W3211 3/4/05 1:50 PM Page 74 ACCENT ON TEAMWORK SECTION 1.1 SECTION 1.4 PLACE VALUE Have each student in your group bring a calculator to class so that you can examine several different models. For each model, determine the largest number (if there is one) that can be entered on the display of the calculator. Then press the appropriate calculator keys to add 1 to that number. What does the display show? COMMON FACTORS The prime factorizations of 36 and 126 are shown below. The prime factors that are common to 36 and 126 (highlighted in color) are 2, 3, and 3. LARGE NUMBERS Bill Gates, founder of Microsoft Corporation, is said to be a billionaire. How many millions make 1 billion? Find the common prime factors for each of the following pairs of numbers. a. 25, 45 b. 24, 60 c. 18, 45 d. 40, 112 e. 180, 210 f. 242, 198 36 2 2 3 3 126 2 3 3 7 SECTION 1.2 READING THE PROBLEM In reading Example 9 of Section 1.2, you will notice that it contains several facts that are not used in the solution of the problem. Have each person in your group write a similar problem that requires careful reading to extract the useful information. Then have each person share his or her problem with the other students in the group. SECTION 1.3 DIVISIBILITY TESTS Certain tests can help us decide whether one whole number is divisible by another. • A number is divisible by 2 if the last digit of the number is 0, 2, 4, 6, or 8. • A number is divisible by 3 if the sum of the digits is divisible by 3. • A number is divisible by 4 if the number formed by the last two digits is divisible by 4. • A number is divisible by 5 if the last digit of the number is 0 or 5. • A number is divisible by 6 if the last digit of the number is 0, 2, 4, 6, or 8 and the sum of the digits is divisible by 3. • A number is divisible by 8 if the number formed by the last three digits is divisible by 8. • A number is divisible by 9 if the sum of the digits is divisible by 9. • A number is divisible by 10 if the last digit of the number is 0. • Determine whether each number is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. a. 660 b. 2,526 c. 11,523 d. 79,503 e. 135,405 f. 4,444,440 74 SECTION 1.5 ORDER OF OPERATIONS Consider the expression 582 32 3 Insert a set of parentheses somewhere in the expression so that, when it is evaluated, you obtain a. 63 b. 132 c. 21 d. 127 SECTION 1.6 SOLVING EQUATIONS Borrow a scale and some weights from the chemistry department. Use them as part of a class presentation to explain how the subtraction property of equality is used to solve the equation x 2 5. See the discussion and Figure 1-16 on page 56 for some suggestions on how to do this. SECTION 1.7 FORMING EQUATIONS Reread Example 4 in Section 1.7. This problem could have been solved by forming an equation involving the operation of multiplication instead of the operation of division. The number of brothers 7 times the share each brother will get is the total amount of the inheritance. g 343,000 For Examples 5 and 6 in Section 1.7, write another equation that could be used to solve the problem. Then solve the equation and state the result.