Math 04: Homework Exercises Chapter 5: Decimals Ishibashi Chabot College Fall 20 5. Reading and Writing Decimals In the number 92.7845, identify the place value of the indicated digit.. 8 2.. 4. 7 Write each number in words. 5. 0. 6. 0.29 7. 0.029 8. 7.9 9. 8.05 0. 2.009. 52.402 2. 26, 48.49. 2.00000 Write each number in digits. 4. Two tenths 5. Seven tenths 6. Seven hundredths 7. Fifty-one hudredths 8. Four and eighty-two hundredths 9. Twelve and seventy thousandths 20. One hundred seventy-five and one hundred seventyfive thousandths 2. Four hundred thirty-eight thousand, twenty and five hundred two ten-thousandths 22. Three and fourteen millionths 2. Twenty-one and eighty-one thousand, ninety-six millionths Graph each decimal on the number line. 24. 0.7 25. 0.5 26..2 Write each decimal as a fraction or mixed number in lowest terms. 27. 0. 28. 0.8 29. 0.5 0. 0.5. 0.25 2. 0.84. 0.625 4. 2.75 5. 4.75 6. 7.25 7..05 8. 6.044
5.2 Rounding Decimals Round each number to the indicated place.. 0.42 to the tenths 2. 0.47 to the tenths. 0.92 to the hundredths 4. 7.08 to the tenths 5. 0.586 to the hundredths 6. 8.25 to the tenths 7. 0.6802 to the thousandths 8. 00.0029 to the ten-thousandths 9. 6.977 to the tenths 0. 4.0695 to the thousandths. 562.07 to the hundreds 2. 562.07 to the hundredths. 67.64 to the ones 4. 0.549922 to the ten-thousandths 5. 900.462 to the hundredths 6. 745.9 to the tens 7. 0.004784 to the hundred-thousandths 8. 0.004784 to the millionths Round to the nearest cent. 9. $0.85 20. $525.0275 2. $.52 22. $2.596 Round to the nearest dollar. 2. $5.6 24. $6, 092.2 25. $46.89 26. $, 52.596 Solve the following application problem. Round answers to the nearest cent. 27. A supermarket sells six cans of tuna for $8.09. Use a calculator to compute the price for one can, rounded to the nearest cent. 28. Bill wants to pay back a $500 loan in 8 equal payments. Use a calculator to determine the amount of each payment, rounded to the nearest dollar. 5. Adding and Subtracting Decimals Simplify.. 2. ` 6.6 2. 52.84 ` 7.69. 8.4 5. 4. 0.8 ` 44.92 5. 2.5 6.76 6. 5. ` 4.7 `.2 7. 6.084 ` 4.7526 8. 420.2 74.845 9..294 ` 6.5 `.452 0. 6.2 ` 2.4.. 9.7 2..8 7.5. 4 ` 0.2 4. 2. ` 5 ` 8.6 5. 2 ` 5.4 6. 7 0.04 7. 4.2.6 8. 6.7.2 9. 84.5 62.8 20. 7.65 ` 9.2 2. 5.72 2 2
22. 8. 6.9 2. 4.58 ` 6.0 24. 4.57 8. ` 6.52 Find the perimeter of each figure below. 25. 26. 7.2 m 6.2 ft 8.4 ft 4.6 m 7.8 ft Solve each application problem. 27. What is 9.24 subtracted from 5 28. What is 6 minus 8.7 29. Subtract.9 from 8.5. 0. What is 5.2 inches less than 9. inches. Greg scored 42.5, 8. and 29.8 points on his three quizzes. How many total quiz points does Greg have 2. Quinn is saving up to buy a laptop that costs $649. if he has $487.4 in his account, how much more does Quinn need to save 5.4 Multiplying Decimals Multiply.. 7. ˆ 2 2. p2.54q p 8q. p87q p0.05q 4. p.q p5.9q 5. 6.5 ˆ 80.4 6. p 6.6q p 0.9q 7. 90.87 ˆ 8. p6.q p0.8q 9. p0.2q p58q 0. p7.6q p0.6q. p2.4q p0.029q 2. p9.84q p 0.00004q. p 0.64q p 0.8q 4. 0.05 ˆ 9.42 5. p6.q p0.09q 6. 0.0000 ˆ 0.625 7. p 54.44q p6.42q 8. 20.5 ˆ 5.65 9. p 0.4q 2 20. p 0.4q 2. p0.2q p.5q p.6q Find the area of each figure below. 22. 7.2 m 2. 4.6 m 6.2 ft 8.4 ft 5.5 ft 7.8 ft
Solve each application problem. 24. If Larry runs.2 miles per day, how many miles does he run in a week 25. Robert plans to buy each of his three children a $9.95 video game for holidays. What is the total cost of the gifts 5.5 Dividing Decimals Divide. Do not round.. 6.8 7 2. 2.2 4. 5.89 4. 4.8 0.7 5. 2.4 0.06 6. 8.2 0. 7. 9.5.7 8. 0.294 0.00 9..84 2.4 0. 6.82 0.. 4.9 0.8 2. 0.49 0.4. 0.067 0.005 4. 6.9.6 5. 0.405 0.8 Divide. Round quotients to the thousandths place. 6. 7.24 0.6 7. 46.7. 8. 2.6 0.07 Solve the given application problem. 9. A bottle contains 2. milliliters of medication. If a dose is.5 milliliters, how many doses are in the bottle 20. Yancy must pay back $45.25 in three equal payments. How much should each payment be, rounded to the nearest cent Use a calculator to simplify. Round answers to the nearest thousandth. 2. 70.846 ` 96.04 7.68 22. p6.72 8.q 2 p5.672q p9.q 2. p9.q 2 2.56 `.595 24. p6. 4.2q 2 4.25 00 ˆ. 5.6 Fractions and Decimals Write each fraction or mixed number as a decimal. Use proper notation for repeating decimals.. 4 2. 2. 5 8 4. 5. 7 20 6. 7. 7 2 8. 6 7 8 9. 4 6 4
Write each fraction or mixed number as a decimal rounded to the nearest hundredth. 0. 6. 0 2. 6 4 7. 8 4 4. 2 7 5. 279 2 Use a calculator to write each fraction or mixed number as a decimal rounded to the nearest thousandth. 6. 8 5 7. 4 8. 27 40 9. 2 5 6 20. 6 9 2. 24 7 Round the following repeating decimals to the indicated place. 22. 0.7 to the thousandths 2. 6.5 to the hundredths 24..8 to the thousandths 25. 0.7 to the ten-thousandths 26..79 to the ten-thousandths 27. 40.4 to the thousandths Determine which number is larger and write ă or ą in the box. 28. 0.4 Ü 0.7 29. 2.08 Ü 2.2 0. 0.0062 Ü 0.006. Ü 0.99 2. 5.728 Ü 9.0. 0.2079 Ü 0.24 4. 0.0005 Ü 0.00 5. 4 ü 0.7 6. 0.6 Ü 20 Arrange the given numbers in order from smallest to largest. 7. 0.57 ; 0.5 ; 0.5 8. 0.6287 ; 0.64 ; 0.6 9. 0.42 ; 7 40 ; 0.4 40. 0.052 ; 2 ; 0.52 20 5.8 Square Roots and the Pythagorean Theorem Find each square root.. 4. 9 2. 64. 25 49 5. 2 6. 00 Use a calculator to approximate each square root to the nearest thousandth. 7. 0. 5 8. 2 9. 8. 7 2. 5
Solve.. x 2 9 4. y 2 6 5. 8 n 2 6. 2 ` m 2 6 7. a 2 76 68 8. p 2 48 Find the unknown length in each right triangle. 9. 20. 2. 5 in 6 m 8 m cm 2 cm 4 in Use a calculator to find the unknown length in each figure. Round to the nearest hundredth when necessary. 22. 2. 24. 9 ft in 24 cm 25 cm 7 ft in 25. 26. 27. ft 2 ft 26 m 0 m 8 km 4 km km Use a calculator to determine the area and perimeter of each figure. 28. 29. 2 cm 40 in 0 cm 2 in 8 cm 6
5.9 Equations Containing Decimals Simplify each expression.. 2.7x ` 5.6x 2. 8.m 4..6m. 6.2 5.2k 9.7 0.6k Solve. Then check your solutions. 4. x `.4 7.8 5..2y 4.2 6. b 6. 2.7 Solve. 7. u. 8.7 8..w 4.62 9. 5.6 ` x 7.2 0. y ` 49.2 26.4. 2.09.7x 2..02 ` k 80.2. 0.7t 2.6 2.05 4..8 ` 0.4p 4.2 5. 2.5b `.7.9b `.5 Use a calculator to solve. Round to the nearest hundredths when appropriate. 6. 4.5 r.85 7. 7.95.7y 8. 5.8 7.48z 48.564 9. 2.58m.892 7.685 4.2m 20. 4.5x ` 8.4.005x `.276 2. 4.8 p.2h 2.9q 2.6h `.8 Use a calculator to solve each application problem. 22. A copy center charges $.25 in service fees plus $0.09 per copy. Peter orders copies of a flyer that he wants to post around town. If the total cost is $6.65, how many copies did Jim have made 24. Cleveland started running each morning to get into shape. On the first week, he is able to run. miles without stopping. For each week afterwards, he adds 0.26 miles to his distance. How many weeks will it take for Cleveland to run 2.5 miles without stopping 2. A rental car company charges $4.95 per day plus $24.95 in fees for a mid-sized sedan. Lois rents a car for a total cost of $04.55. For how many days did Lois rent the car 25. At 2:00 midnight, the temperature is 54. degrees. If the temperature drops 4.7 degrees every hour, at what time is the temperature 5.5 degrees 5.0 Circles Find the indicated quantities for each circle.. radius: diameter: 2. radius: diameter:. radius: diameter: ft 0 km 2 m 7
4. radius: diameter: 5. radius: diameter: 6. radius: diameter: 6.2 ft 4 cm 4.5 in Give an approximation for the circumference of each circle using the formulas C 2πr or C πd. Use π «.4 and round your answers to the nearest hundredth. 7. 8. 9. 4 in 7 cm 2.5 ft Give an approximation for the area of each circle using the formula A πr 2. Use π «.4 and round your answers to the nearest hundredth. 0.. 2. 6 ft 5 m 9 cm Give an exact expression for the circumference and area of each circle. Then, use a calculator to give an approximation rounded to the nearest thousandth. Use the π button on your calculator.. Area Circumference Exact: Exact: Approx: Approx: 4. Area Circumference Exact: Exact: Approx: Approx: 5. Area Circumference Exact: Exact: Approx: Approx: 8 ft 5 in 0 km Use a calculator to find the perimeter of each figure rounded to the nearest hundredth. 8
6. 7. 8. 6 in 6 in 6 in 9. 20. 7 m 0 mm 9 mm Use a calculator to find the area of each figure rounded to the nearest hundredth. 2. 22. 2. 4 ft 4 ft 4 ft 24. 25. 26. km 2 km km km 27. 8 mm 28. 8 mm 2 ft 8 ft 9
Use a calculator to solve each application problem. 29. An LP vinyl record is 2 inches in diameter. What is the area of the record, rounded to the nearest hundredth of a square inch 0. The atomic bomb dropped on Hiroshima had a blast radius of miles meaning everything within miles was heavily damaged. What was the area, rounded to the nearest tenth of a square mile, of the region that suffered heavy damage Chapter 5 Review Simplify.. 6.72 ` ` 0.452 2. 7 2.46. p6.2q p.5q 4. 5.4.2 5. 5.6.9 6. p.2 0.8q 2.4 Solve. 7..2x 2.88 4.68 8. 6.98 0.6a ` 8 9..5m 6.8 0.7m 5.08 Write each fraction or mixed number as a decimal. Use proper notation to indicate repeating decimals. 0. 8. 2 5 6 2. 5 Solve each application problem.. The local library charges $.20 plus $0.6 per day for overdue books. If the library charges Vince $2.2 for a book, how many days overdue was the book 4. Dan has been losing.2 pounds each week on a diet. If Dan was 65.6 pounds at the start of his diet, how many weeks will it take for Dan to reach his target weight of 40 pounds 5. Give an exact expression for the circumference and area of each circle. Then, use a calculator to give an approximation rounded to the nearest thousandth. Use the π button on your calculator. Area Exact: Approx: Circumference Exact: Approx: 6. Find the missing length. 5 in 2 in 4 km 0
7. Use a calculator to find the area and perimeter of the figure below. Use π «.4 and round your answer to the nearest tenth. 8. Use a calculator to find the area of the figure below. Use π «.4 and round your answer to the nearest tenth. 27 ft in 9 in Area: Perimeter: 27 ft 4 in 6 in
Odd Answers to Exercises 5. Reading and Writing Decimals. hundredths. hundreds 5. Three tenths 7. Twenty-nine thousandths 9. Eight and five hundredths. Fifty-two and four thousand twenty-one ten-thousandths. Two and three millionths 5. 0.7 7. 0.5 9. 2.070 2. 48, 020.0502 2. 2.08096 25. 27. 0 0 29. 2. 4. 5 8 5. 4 8 7. 20 5.2 Rounding Decimals. 0.4. 0.92 5. 0.59 7. 0.680 9. 7.0. 5600. 68 5. 900.5 7. 0.0047 9. $0.8 2. $.52 2. $6 25. $47 27. $.5 per can 5. Adding and Subtracting Decimals. 8.9.. 5. 5.59 7. 747.867 9..097. 8.4. 4.2 5. 7.4 7..04 9. 76.88 2..72 2. 8.279 25. 22.4 ft 27. 5.76 29. 5.55. 0.4 points 5.4 Multiplying Decimals. 4.6..045 5. 522.2 7. 272.6 9..6. 0.0696. 0.52 5. 2.4687 7. 49.505 9. 0.56 2..76 2. 2.45 ft 2 25. $9.80 5.5 Dividing Decimals. 2.4. 5.06 5. 40 7. 5.5 9..6. 6.75. 7.4 5. 0.50875 7. 42.455 9. 4.2 doses 2. 4.75 2. 7.80 2
5.6 Fractions and Decimals. 0.75. 0.625 5. 0.85 7..5 9. 4.6... 8.75 5. 2. 7..25 9. 2. 2. 24.66 2. 6.52 25. 0.72 27. 40.44 29. ă. ą. ă 5. ą 7. 0.5; 0.5; 0.57 9. 0.4; 0.42; 7 40 5.8 Square Roots and the Pythagorean Theorem.. 5 5. 7. 2.26 9..606. 2.646. x 5. n 9 7. a 2 9. 5 cm 2. 0 m 2. 4.24 in 25. 2.24 ft 27. 5 km 29. A 20 cm 2 P 48 cm 5.9 Equations Containing Decimals. 8.x. 5.8k.47 5. y.5 Check:.2 p.5q 4.2 7. u.8 9. x 8.4. x.2. t 6. 5. b 7. y «2.5 9. m.7 2. 60 copies 2. 4.5 weeks 5.0 Circles. radius: ft diameter: 6 ft. radius: 65 km diameter: 0 km 5. radius:. ft diameter: 6.2 ft 7. 25.2 in 9. 7.85 ft. 78.5 m 2. Area Exact: 8π ft2 Approx: 254.469 ft 2 Circumference Exact: 8π ft Approx: 56.549 ft 5. Area Exact: 225π km2 Approx: 706.858 km 2 Circumference Exact: 0π km Approx: 94.248 km 7. 0.85 in 9. 46.99 m 2. 50.27 ft 2 2. 2.57 ft 2 25. 0.2 km 2 27. 4.27 mm 2 29..0 in 2 Chapter 5 Review. 0.72. 20.77 5. 9.5 7. x 6. 9. m 2.875. 2.8. 7 days 5. Area Exact: 49π km2 Approx: 5.98 km 2 Circumference Exact: 4π km Approx: 4.982 km 7. A 44, 5.0 ft 2 P 846. ft