Decimal Notation - XYZ Custom Plus

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242Chapter 4 <strong>Decimal</strong> <strong>Notation</strong>Then we divide, using long division:1.511225q3w7w.7w8w0w0w25m88m888888888m88888888888888888m888888888888888888888888812 712 52825302550500Rounding to the nearest hundredth, we have 1.51. We actually did not need tohave this many digits to round to the hundredths column. We could have stoppedat the thousandths column and rounded off.7. Divide, and round to the nearesttenth.a. 19 4 0.06b. 1.9 4 0.06Example 7Divide, and round to the nearest tenth: 17 4 0.03Solution Because we are rounding to the nearest tenth, we will continue dividinguntil we have a digit in the hundredths column. We don’t have to go anyfurther to round to the tenths column.5 66.660.03.q1w7w.0w0w.0w0w152 01 820182 01 820182m8m888888888m88888888888888888m888888888888888888888 888Rounding to the nearest tenth, we have 566.7.BApplications8. A woman earning $6.54 anhour receives a paycheck for$186.39. How many hours didthe woman work?Answers6. 1.42 7. a. 316.7 b. 31.78. 28.5 hoursExample 8If a man earning $7.26 an hour receives a paycheck for$235.95, how many hours did he work?Solution$7.26.To find the number of hours the man worked, we divide $235.95 by32.57.26.q2w3w5w.9w5w.0w217 818 1514 52m8m888888883 63 03 63 0The man worked 32.5 hours.0
4.4 Positive and Negative Numbers243Example 9A telephone company charges $0.43 for the first minuteand then $0.33 for each additional minute for a long-distance call. If a long-distance call costs $3.07, how many minutes was the call?SolutionTo solve this problem we need to find the number of additional minutesfor the call. To do so, we first subtract the cost of the first minute from thetotal cost, and then we divide the result by the cost of each additional minute.Without showing the actual arithmetic involved, the solution looks like this:Total cost Cost of theof the call first minuteThe number ofadditional minutesm83.07 2 0.435 }} 5 } 2.64 5 80.33 0.33Cost of eachadditional minuteThe call was 9 minutes long. (The number 8 is the number of additional minutespast the first minute.)m8m89. If the phone company in Example9 charged $4.39 for a call,how long was the call?Descriptive StatisticsGrade Point AverageI have always been surprised by the number of my students who have difficultycalculating their grade point average (GPA). During her first semester incollege, my daughter, Amy, earned the following grades:Class Units GradeAlgebra 5 BChemistry 4 CEnglish 3 AHistory 3 BWhen her grades arrived in the mail, she told me she had a 3.0 grade pointaverage, because the A and C grades averaged to a B. I told her that her GPAwas a little less than a 3.0. What do you think? Can you calculate her GPA? Ifnot, you will be able to after you finish this section.When you calculate your grade point average (GPA), you are calculatingwhat is called a weighted average. To calculate your grade point average, youmust first calculate the number of grade points you have earned in each classthat you have completed. The number of grade points for a class is the productof the number of units the class is worth times the value of the grade received.The table below shows the value that is assigned to each grade.GradeValueA 4B 3C 2D 1F 0If you earn a B in a 4-unit class, you earn 4 3 3 5 12 grade points. A grade ofC in the same class gives you 4 3 2 5 8 grade points. To find your grade pointaverage for one term (a semester or quarter), you must add your grade pointsand divide that total by the number of units. Round your answer to the nearesthundredth.Answer9. 13 minutes
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