MAT 115 Basic Mathematics Week #4 Checkpoint Chapter 4

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1 Name: Section 4.1 pp , # 2, 4, 24, 34, 72 Problems (Enter your work and answer in this column) 2. For the decimal : What is the place value of 5? Tenths 4. For the decimal : What is the place value of 2? Hundredths 24. Write as a common fraction or mixed number: / Arrange in order from smallest to largest: ,, , 2.059,, , 2.052, First, convert the fractions to decimals with the same number of decimal places: ,2.5000,2.0513,2.0590,2.5100,2.0515,2.0520, Now, put them in order (based on the numbers after the decimal point): ,2.0510,2.0513,2.0515,2.0520,2.0590,2.5000, Convert back to the orginal form: 2.05,2.051,2.0513,2.0515,2.052,2.059,25/10,251/100

2 72. Lula wants to round to the nearest hundredth. She first rounds to and then rounds to and claims that this is the final answer. What is wrong with this approach? She should only look at the value in the thousandths place (one to the right of the hundredths place). That is a 4, so she should round down, to: Section 4.2 pp , #20, 36, 48, 58, Add: Subtract:

3 48. Add thirty-eight and nine tenths, five and fifty-eight hundredths, seven, and 15 and 8 tenths / / /10 = = 67 and 28/100 = 67 and 14/50 = 67 and 7/ Geometry. Find the perimeter of the figure below: Add them up: 33.2ft

4 72. Business and finance. Alem s restaurant bill is pictured below. Estimate his total (not including tip) by rounding to the nearest dollar. approx: = $43

5 Section 4.3 pp , # 32, 68, Claudia earns $6.40 per hour (h). For overtime (each hour over 40 h) she earns $9.60. If she works 48.5 h in a week, what pay should she receive? 40* *9.6 = $ Business and finance. To find the simple interest on a loan for 1 year at 12.5%, multiply the amount of the loan by What simple interest will you pay on a loan of $1,458 at 12.5% for 1 year? 1458*0.125 = $ Business and finance. In a bottling company, a machine can fill a 2-liter (L) bottle in 0.5 seconds (s) and move the next bottle into place in 0.1 s. How many 2-L bottles can be filled by the machine in 2 h? 2 hours * 60 minutes * 60 seconds / ( ) sec = bottles

6 Section 4.4 pp , # 4, 10, 20, 26, 30, 38, Find the circumference. Use 3.14 for and round your answer to one decimal place. 3.14*2*3.75 = ft 10. (2 pts) Find the perimeter ¼ * 2*3.14*10 = 35.7 in

7 20. Find the area: Bh = 5*7 = 35 in^2 26. Find the area: = 6*7 + ½ * 2*6 = = 48 yd^2

8 30. Crafts. A circular coffee table has a diameter of 5 ft. What will it cost to have the top refinished if the company charges $3 per square foot for the refinishing? area = pi*r^2 = pi*(d/2)^2 = 3.14*(5/2)^2 multiply by price: = 3*3.14*(5/2)^2 = $ round to: $ Construction. An A-frame cabin has a triangular front with a base of 30 ft. and a height of 20 ft. If the front is to be glass that costs $3 per square foot, what will the glass cost? area = 0.5*b*h = 0.5*30*20 = 300 sq ft Multiply by cost: = $900

9 44. The distance from Philadelphia to Sea Isle City is 100 mi. A car was driven this distance using tires with a radius of 14 in. How many revolutions of each tire occurred on the trip? c = 2*pi*r = 2*3.14*14 = in = miles 100/ = about Section 4.5 pp , # 24, 52, Divide: = about

10 52. Business and finance. A shipment of 72 paperback books cost a store $ What was the average cost per book to the nearest cent? /72 = $ Business and finance. Seven employees of an office donated a total of $ during a charity drive. What is the average donation? /7 = $24.58

11 74. Four brands of soap are available in a local store. Brand Ounces Total Price Unit Price Squeaky 5.5 $ Clean Smell Fresh Feel Nice Look Bright Compute the unit price and decide which brand is the best buy. Smell fresh is the best.

12 Section 4.6 pp , # 20, Find the decimal equivalent: Statistics. The following table gives the free throws attempted (FTA) and the free throws made (FTM) for the top five players in the NBA for a recent season. Calculate the free throw percentage for each player by writing the FTM over the FTA and converting this to a decimal. Round to 3 decimal places. Player FTM FTA Allan Houston Ray Allen Steve Nash Troy Hudson Reggie Miller Player Decimal Allan Houston Ray Allen Steve Nash Troy Hudson Reggie Miller 0.900

13 Activity 12: Terminate or Repeat p. 359, all (Refer to text the complete problem is shown. Follow the directions found there.) Fraction Decimal Form Terminate? Prime Factorization of Denominator Y N Y 2* Y N 2* N Y 2*2* N 3* Y 2* N n 2*2*3 State a general rule: If the prime factorization has only 2 s and/or 5 s the decimal will terminate. Test on three fractions: 1/20 = 0.05 (pf = 2*5*2*5) 1/22 = (pf = 2*11) 1/25 = 0.04 (pf = 5*5)

14 Section 4.7 pp , # 28, 30, Write as a common fraction or mixed number in lowest terms: = 15 and 35/100 Divide the top and bottom of the fraction by 5: 15 and 7/ Complete using the symbol < or >: /16 = < 0.313, so 5/16 < Statistics. The following table gives the winning percentages of the top five coaches in NFL history. What fraction of his games has each coach won? Coach Percentage Fraction Don Shula George Halas Tom Landry Curly Lambeau Paul Brown Multiply each by 100: = 67.6% = 67.2% = 60.6%

15 0.624 = 62.4% = 66.7%

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