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01C-W3210 2/24/05 7:17 AM Page 67 ACCENT ON TEAMWORK SECTION 1.1 SECTION 1.5 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? DIVISIBILITY TESTS A number is divisible by 8 if the number formed by the last three digits is divisible by 8. Determine whether each of the following numbers is divisible by 8. LARGE NUMBERS Bill Gates, founder of Microsoft Corporation, is said to be a billionaire. How many millions make one billion? SECTION 1.2 PERIMETERS Find the perimeter of each figure. 15 meters 6 in. 32 meters 8 in. 12 meters 12 meters 6 in. SECTION 1.3 SUBTRACTION Explain how subtraction is related to addition. Use this idea to perform the following subtractions. 9 5 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. 36 2 # 2 # 3 # 3 126 2 # 3 # 3 # 7 32 meters a. b. 2,496 d. 3,078 f. 27,926 SECTION 1.6 15 meters 6 in. 8 in. a. 1,216 c. 4,160 e. 16,928 b. 27 13 c. 25 18 SECTION 1.4 MAXIMUM AREA A gardener has 80 feet of fencing to enclose a rectangular garden. Find the length and width that will enclose the greatest area. Find the common prime factors for each of the following pairs of numbers. a. 25, 45 c. 18, 45 e. 180, 210 b. 24, 60 d. 40, 112 f. 242, 198 SECTION 1.7 ORDER OF OPERATIONS Consider the expression 58#2 3#2 3 Insert a set of parentheses somewhere in the expression so that, when it is evaluated, you obtain a. 63 c. 21 b. 132 d. 127 67