5.3 Problems 30, 48, 54, 64, 72, 108 30. Write the number of inches indicated by the arrow as an improper fraction. (2 pts.) 48. Express the terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms. (2 pts.) 0.375 54. Express the repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms. (2 pts.) _ 0.7 64. Perform the indicated operation and reduce your answer to lowest terms. (2 pts.) 72. Perform the indicated operation and reduce your answer to lowest terms. (2 pts.) 108. Increasing a Book Size. The dimensions of the cover of a book have been increased from 8 inches by 9 inches to 8 inches by 10 inches. By how many square inches has the surface area increased? (Use area = length x width.) (4 pts.) Section 5.3 Problems 30, 48, 54, 64, 72, 108 30. Write the number of inches indicated by the arrow as an improper fraction. (2 pts.) There are 8 small divisions between 0 and 1. Thus, 1 small division represents 1/8 of an inch. The arrow points at 1 small division behind the 2-inch mark; there are 7 small divisions between the 1-inch mark and the reading indicated by the arrow. The reading is 1 inch + 7 small divisions To convert the 7 small divisions to inches, multiply by 1/8 1 7 7 = inches 8 8 7 7 15 Reading=1+ =1 = 8 8 8 48. Express the terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms. (2 pts.) 0.375 0.375 has 3 decimal places; consequently, its denominator has 3 zeroes. 0.375= 375 1000 Simplify the fraction by dividing the numerator and denominator by 5 375 75 = 1000 200 75 5 1 = = 200 40 8 54. Express the repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms. (2 pts.) _ 0.7 Let r = 0.777... 10r = 7.777... Subtract 10r by r 10r = 7.777..._ r = 0.777... 9r = 7 r= 64. 7 9 Perform the indicated operation and reduce your answer to lowest terms. (2 pts.) Change the sign to sign ( 3 ) 21 5 10 Multiply - 3 by 21; multiply 5 by 10. ( 3 ) 21 = 63 5 10 50 72. Perform the indicated operation and reduce your answer to lowest terms. (2 pts.) Find the LCM of 6 and 4 2 6, 4 2 3, 2 2 3 1 3 1 1 2 x 2 x 2 x 3 = 12 The LCM of 6 and 4 is 12 5 3 109 1 = = 6 4 12 12 108. Increasing a Book Size. The dimensions of the cover of a book have been increased from 8 inches by 9 inches to 8 inches by 10 inches. By how many square inches has the surface area increased? (Use area = length x width.) (4 pts.) Area of the original cover 1 1 A=8 9 2 4 Convert 8 and 9 into improper fractions For 8, multiply 2 by 8 then add 1 (2 x 8 = 16; 16 + 1 = 17) For 9, multiply 4 by 9 then add 1 (4 x 9 = 36; 36 + 1 = 37) A= 1 7 37 2 4 Multiply the numerators and denominators separately A= 629 square inches 8 Area of the new cover 1 1 A=8 10 2 4 Convert 8 and 10 into improper fractions A= 17 41 2 4 Work out the numerators and denominators separately A= 697 square inches 8 Subtract 697 8 by 629 8 697 629 68 17 = = 8 8 8 2 17 1 =8 2 2 The surface area has increased by 17 2 or 8 1 2 square inches