0-5 Multiplying and Dividing Rational Numbers
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1 Find each product or quotient. Round to the nearest hundredth if necessary (0.13) The product of two numbers with the same sign is positive. So, 6.5(0.13) = (2.3) The product of two numbers with different signs is negative. So, 5.8(2.3) = ( 6) The quotient of two numbers with different signs is negative. So, 42.3 ( 6) = ( 2.9) The product of two numbers with the same sign is positive. So, 14.1( 2.9) = ( 1.3) The quotient of two numbers with the same sign is positive. So, 78 ( 1.3) = ( 0.9) The quotient of two numbers with different signs is negative. So, 108 ( 0.9) = ( 6.4) The product of two numbers with different signs is negative. So, 0.75( 6.4) = The quotient of two numbers with different signs is negative. So, = The quotient of two numbers with different signs is negative. So, esolutions Manual - Powered by Cognero Page 1
2 Find each product. Simplify before multiplying if possible Write as an improper fraction. esolutions Manual - Powered by Cognero Page 2
3 15. First write the fractions as improper fractions esolutions Manual - Powered by Cognero Page 3
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6 24. Name the reciprocal of each number. 25. The product of a number and its reciprocal is 1. So, or is the reciprocal of. 26. The product of a number and its reciprocal is 1. So, 22 is the reciprocal of. 27. The product of a number and its reciprocal is 1. So, or is the reciprocal of. 28. The product of a number and its reciprocal is 1. So, is the reciprocal of. esolutions Manual - Powered by Cognero Page 6
7 29. The product of a number and its reciprocal is 1. So, is the reciprocal of. 30. The product of a number and its reciprocal is 1. So, is the reciprocal of. Find each quotient esolutions Manual - Powered by Cognero Page 7
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11 43. PIZZA A large pizza at Pizza Shack has 12 slices. If Bobby ate of the pizza, how many slices of pizza did he eat? To find how many slices of pizza Bobby ate, multiply 12 by. So, Bobby ate 3 slices. 44. MUSIC Samantha practices the flute for hours each week. How many hours does she practice in a month? To find how many hours Samantha practices the flute in a month, multiply by 4, because there are typically 4 weeks in a month. So, Samantha practices 18 hours in a month. esolutions Manual - Powered by Cognero Page 11
12 45. BAND How many band uniforms can be made with yards of fabric if each uniform requires yards? To find the number of band uniforms that can be made with yards of fabric, divide by. Therefore, 34 uniforms can be made with yards of fabric. 46. CARPENTRY How many boards, each 2 feet 8 inches long, can be cut from a board 16 feet long if there is no waste? There are 12 inches in a foot. So, a board that is 2 feet 8 inches long is or feet long. To find how many -foot boards can be cut from a board that is 16 feet long, divide 16 by. So, 6 boards can be cut from a board that is 16 feet long. esolutions Manual - Powered by Cognero Page 12
13 47. SEWING How many 9-inch ribbons can be cut from yards of ribbon? There are 36 inches in a yard. To find how many 9-inch ribbons can be cut from yards of ribbon, first find how many inches are in yards. Multiply by 36. There are 54 inches in yards. Now, divide 54 by = 6 So, six 9-inch ribbons can be cut from yards of ribbon. esolutions Manual - Powered by Cognero Page 13
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