Unit II Homework
For this homework assignment, you will consider and complete a series of mathematical problems to test your knowledge of basic fractions, decimals, percentages, averaging, rounding, and your ability to convert from one unit to another.
- Chapter 2 Test (pp. 38–40) 1-21
Your full homework should be complete in detail within a Word document with all work used to complete the problem demonstrated in clear detail. All work must be presented to receive full credit, and please label each question. APA is not a requirement for this assignment.
Unit II Homework Instructions For this homework assignment, you will consider and complete a series of mathematical problems to test your knowledge of basic fractions, decimals, percentages, averaging
Part 1: Mathematical functions 1. Reduce the following fractions: a. 35/40 b. 8/64 c. 25/125 d. 18/27 2. Calculate the quotient correct to two decimal places: a. 32/167 b. 88/17 c. 7,435/313 d. 250/40 e. 3/8 f. 36/50 3. Compute the following percentages: a. 6/100 b. 5/10 c. 8/1,000 d. 73/400 4. Calculate the decimal equivalent (to two decimal places) of: a. 10/200 b. 14/1,000 c. 6/600 d. 20/480 5. Round to two decimal places: a. 40.636 b. 40.666 c. 40.699 d. 10.999 e. 18.555 f. 0.095 6. Round to the nearest whole number: a. 62.499 b. 56.503 c. 88.8 d. 10,551.51 e. 10.5 f. 67.4 7. Round to the nearest: a. hundred 4,455 b. tenth 4.657 c. thousandth 0.0055 d. million 4,500,000 e. hundredth 63.895 f. ten 77.499 g. thousand 87,485.7 8. Convert to a percentage—correct to one decimal place: a. 4/5 b. 8/10 c. 0.06 d. 0.84 e. 2.1535 f. 6/7 g. 50/200 9. Convert to the lowest fraction: a. 60/100 b. 80% c. 35/65 d. 33/99 e. 10% f. 5:100 10. Convert to a decimal—correct to two decimal places: a. 2/17 b. 3/11 c. 25/85 d. 52% e. 10/90 f. 11/11 11. Convert each ratio or proportion to a decimal equivalent and the corresponding percentage: Ratio or Proportion Decimal Equivalent Percentage a. 2/100 b. 6/25 c. 16:84 d. 360/900 12. For each percentage, determine the corresponding decimal equivalent and ratio: Percentage Decimal Equivalent Ratio a. 83.33% b. 87.5% c. 66.67% d. 40% e. 0.50% f. 0.025% 13. Compute the following—correct to the nearest whole number: a. If 7 out of 10 patients admitted to the hospital are discharged in 3 days or less, how many out of 13,554 recorded admissions exceeded a stay of 3 days? b. A hospital discharged 3,520 patients in January. If 5% developed a hospital-based infection, how many were affected? c. A hospital reported 126,778 discharges during the past year. If 35% of these patients were seen in consultation, how many of the discharged patients were seen by a consultant? 14. Compute the following averages: a. Ten patients were discharged yesterday. Two of these patients were hospitalized 3 days, two were hospitalized 4 days, and the rest were inpatients for 5, 7, 8, 1, 9, and 2 days, respectively. What was the average number of hospitalized days for this group—correct to one decimal place? b. During the past week, the following number of cases of measles was reported statewide each day: 11, 8, 13, 15, 5, 9, 12. What was the average daily number of reported cases—correct to one decimal place? c. A hospital reports the following number of trauma cases seen each month during the past year: 28, 35, 21, 26, 38, 42, 29, 31, 22, 36, 25, 21. Determine the average number of trauma cases seen monthly—correct to the nearest whole number. 15. Convert the weight of a 160 lb female patient to kilograms, correct to two decimal places. Part 2: HIM applications 16. A new employee is paid $22.50 an hour. A performance evaluation is completed at the end of the year, and it is determined that the employee should receive a 2.5% raise. What will be the new hourly rate? 17. If the average record is 1/2 inch thick: a. How many records will a shelf-filing system accommodate if each unit of a four-unit system has five shelves and holds 35 inches of filed charts? b. If two additional units are purchased, how many charts can be filed? c. If the average record is 3/4 inch thick, how many charts will the original four units hold? 18. A file room contains 1,720 charts. The department decides to purge 300 charts for digitizing. There are five units of five shelves each, with each shelf holding 35 inches of records. The average chart is 1/2 inch thick. a. How many inches of shelf space are still available prior to purging? b. How much shelf space (in inches) will be available after the purging? c. Approximately how many 1/2-inch charts will fit in the open shelf space after the purge? 19. A department needs new equipment. The manager receives the following bids from four different vendors. The bids are as follows: Vendor Cost Discount A $5,000 5% B $2,800 10% C $3,800 4% D $2,700 8% a. What would be the final cost for each proposal? b. Which vendor offers the best deal? 20. A department leases a scanner at a cost of $1,700 per quarter and three copy machines for $60 per month each. How much must be budgeted for this equipment on an annual basis? 21. Determine the percentage of the total cost budgeted for each expense. The annual budget includes: Office supplies and postage $2,800 Outsourced staffing $15,350 Travel and conference fees $3,660 Maintenance contracts $1,990