1. Use pencil and paper to answer the question. Write the digit in each place of the number below. 2,921,365,254,860.1922 a. ten billions b. ten millions c. millions d. hundred millions e. hundreds f. tenths ANSWER: a. 2 b. 6 c. 5 d. 3 e. 8 f. 1 2. Use pencil and paper to answer the question. Write the following numbers in standard notation. a. 8.5 billion b. 92.1 thousand ANSWER: a. 8,500,000,000 b. 92,100 Powered by Cognero Page 1
3. Use pencil and paper to answer the question. Write each number in number-and-word notation. a. 31,600,000 b. 698,200,000,000,000 ANSWER: a. 31.6 million b. 698.2 trillion 4. Use pencil and paper to answer the question. Write the exponent for each of the following numbers. a. 0.00000001 = 10 b. 1 trillion = 10 c. 10 10 10 10 10 10 10 10 10 = 10 d. = 10 ANSWER: a. 8 b. 12 c. 9 d. 1 Powered by Cognero Page 2
5. Use pencil and paper to answer the question. Complete. a. 74,517 0.0001 = b. 0.423 10,000 = c. 56.8 = d. 31 = 0.31 e. 5.7 = f. 0.2 = 0.00002 ANSWER: a. 7.4517 b. 4,230 c. 0.000568 d. 100 e. 570 f. 10,000 6. Suppose that Neptune is about miles from the sun. Write in standard notation. ANSWER: 2,800,000,000 2800000000 7. Use pencil and paper to answer the question. Suppose that Mars travels about 900,000,000 miles in its orbit around the sun every year. Write 900,000,000 in scientific notation. ANSWER: Powered by Cognero Page 3
8. Use pencil and paper to answer the question. Add or subtract. a. b. ANSWER: a. 97.585 b. 2.88 9. Subtract. ANSWER: 50.994 10. Multiply. ANSWER: 304.64 Powered by Cognero Page 4
11. Use pencil and paper to answer the question. Multiply or divide. a. b. ANSWER: a. 471.54 b. 56 R 4, or = 12. Use pencil and paper to answer the question. Write each of the following numbers in expanded notation. Example: 23.89 = (2 10) + (3 1) + (8 0.1) + (9 0.01) a. 69,649 b. 19.62 ANSWER: a. b. Powered by Cognero Page 5
13. Use pencil and paper to answer the question. Use a calculator to help you convert the numbers written in exponential notation to standard notation. a. b. ANSWER: a. 24,137,569 b. 0.000003814697 14. Use pencil and paper to answer the question. Metric Measurements Length Capacity Mass 1 meter (m) = 1 liter (L) = 1 kilogram (kg) = 100 centimeters (cm) 1 centimeter (cm) = 10 millimeters (mm) 1,000 milliliters (ml) 1 kiloliter (kl) = 1,000 liters (L) 1,000 grams (g) 1 gram (g) = 1,000 milligrams (mg) Use the table of metric measurements above to complete the following. a. 45 cm m b. 1.8 L ml c. 70,700 g kg d. 1,132 ml L ANSWER: a. 0.45 b. 1,800 c. 70.7 d. 1.132 Powered by Cognero Page 6
15. Use pencil and paper to answer the question. Name the point on the number line above that represents each of the following numbers. a. 0.933 b. 0.921 c. 0.945 ANSWER: a. B b. K c. H 16. Use the number line above to help you round 0.918 to the nearest hundredth. ANSWER: 0.92 17. Use pencil and paper to answer the question. The points scored by a basketball team appear in the table below. Points Scored 94 46 86 92 77 96 82 74 93 98 88 67 83 86 65 47 98 87 73 a. Make a stem-and-leaf plot for the scoring data. Points Scored StemsLeaves (10s) (1s) Powered by Cognero Page 7
b. Use your stem-and-leaf plot to find the following landmarks. mean: (round to the nearest tenth) median: c. Which landmark, mean or median, is the better indicator of the team's overall scoring production? Explain. ANSWER: a. Points Scored StemsLeaves (10s) (1s) 46 7 5 65 7 73 4 7 82 3 6 6 7 8 92 3 4 6 8 8 b. mean 80.6, median 86 c. Sample answer: median; Because the majority of the values are above 80.6, the median is a better indicator of team scoring. Powered by Cognero Page 8
18. Use pencil and paper to answer the question. Manuel is trying to convince his boss that he deserves a raise. He claims that over the past 8 weeks, his number of working hours has greatly increased. He uses the broken-line graph below to support his claim. Hours Worked per Week a. According to the graph, how many hours did Manuel work during? b. Is Manuel s claim misleading? Explain. ANSWER: a. 36.9 hours b. Sample answer: Yes, the graph is misleading. In an 8 week period, Manuel s number of working hours increased by only 1 hour. Powered by Cognero Page 9
19. Use pencil and paper to answer the question. Planning a Party Your class is planning the menu for the end-of-year party for 38 people. Each person will get 2 hot dogs. You have been assigned to find the least expensive store from which to order the food. Several local stores and their prices are shown in the table below. Store Package Price Hot Dogs per Package Store A $4.50 6 Store B $5.75 10 Store C $9.35 12 From which store should you buy the hot dogs? Write an explanation of how you made your decision. Your explanation should be clear and easy to follow. You can use pictures or tables to help you organize your work. ANSWER: Store B Explanations vary. Sample explanation: You will need 13 packages from Store A. This will cost $58.50. You will need 8 packages from Store B. This will cost $46.00. You will need 7 packages from Store C. This will cost $65.45. The least expensive store is Store B. Powered by Cognero Page 10