Name ________________________________________ Date __________________ Class __________________ MODULE 15 Exponents and Scientific Notation Module Quiz: D 1. Which number is equal to the following? 9 × 10 8. What is this length in standard notation? 3 A 90 0.7 × 10−4 inch C 9,000 A 0.000007 inch B 93 B 0.00007 inch 9 2. Which factor in 5.32 × 10 shows a power of 10? A 5.32 C 0.0007 inch 9. What is this distance in scientific notation? C 109 B 9 0.0065 meter A 6.5 × 10−4 meter 3. Which is the correct power to change 810,000 into scientific notation? B 6.5 × 10−3 meter 810,000 = 8.1 × ____ A 10 5 B 10 6 C 10 C 65 × 10−3 meter 7 10. Simplify the expression (5 − 1)2 − (6 − 5)3. A 15 4. Which describes the first factor of a number written in scientific notation? B 16 C 17 A less than 0 11. Which number is the greatest? B greater than 10 A 2.3 × 10−3 C greater than or equal to 1 and less than 10 B 1.5 × 10−4 C 8.6 × 10−2 5. Find the value of 23. 12. A square floor has 100 tiles. Each tile is 1 square foot. What is the length of one side of this square floor? A 6 B 8 C 23 A 10 feet 6. What is the scientific notation for a population of 930,000 people? B 20 feet C 25 feet A 9.3 × 105 13. A student divided 10 meters of wire into 6 equal parts. Which type of number describes the length of each part? B 9.3 × 106 C 93 × 106 7. In 9.3 × 10−8 the exponent is a negative number. Which of these describes this value of a number in scientific notation that includes a negative exponent? A whole number B integer C rational number A negative B very small C very large Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 73 Name ________________________________________ Date __________________ Class __________________ MODULE 15 Exponents and Scientific Notation Module Quiz: D 14. This number is written in scientific notation. What is the exponent? For 23–26, use the table. Size (meters) 3.5 × 106 water molecule 3.2 × 10−10 small transistor 1.6 × 10−5 grain of salt 1.6 × 10−4 Use this fact to change 5.2 × 104 to standard notation. large ant 2.5 × 10−2 height of Mount Everest 8.9 × 103 5.2 × 104 = 5.2 × ____ = diameter of sun 1.4 × 109 ________________________________________ 15. The value of 104 is 10,000. ________________________________________ 23. Write the height of Mount Everest in standard notation. 16. Complete the steps to change 4,700 to scientific notation. ________________________________________ 4,700 = 4.7 × 1,000 = 24. Write the size of the ant in standard notation. _________________ × _________________ 17. Write your answer in scientific notation. ________________________________________ (3 × 103) − (1.4 × 102) 25. Write the largest number in standard notation. ________________________________________ 18. Write 8.5 × 106 in standard notation. ________________________________________ ________________________________________ 26. Which is larger, the transistor or the grain of salt? 19. Use a negative exponent to complete this equation. 0.005 = 5 × 10 ________________________________________ ? 27. Which number in this list is the greatest? ________________________________________ π, 4.666 , 20. 0.00087 = 8.7 × 10−4 How many places does the decimal point move to change 0.00087 into scientific notation? 30 , 18 5 ________________________________________ 28. Write your answer in scientific notation. (5.3 × 107) − (1.1 × 106) ________________________________________ ________________________________________ 21. Write 0.0007 in scientific notation. ________________________________________ 22. Write 1.4 × 10−2 in standard notation. ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 74 7. A True B False C False D True 17. 2.86 × 103 8. B 18. 8,500,000 9. 89 19. −3 20. 4 10. 1.1 × 10−4 m 11. −7 21. 7 × 10−4 12. 40 ft 22. 0.014 13. A True B True C True D True 23. 8,900 m 14. The first factor is not less than 10. 24. 0.025 m 15. 365,000 25. 1,400,000,000 m 26. grain of salt 16. 1010 17. 5.84 × 10 27. 4 18. 1.9 × 108 30 28. 5.19 × 107 19. 8.43 × 10−6 m MODULE 16 Proportional Relationships 20. 0.00007024 cm 21. Answers will vary. Sample answer: 0.00065, 6.5 × 10−4 Module Quiz 16: B −5 22. 2.25 × 10 m 1. 75 23. 8 2. 15 24. 0.000016 m 3. y = 15x 25. 4 4. A Yes B No C Yes 26. 1.6 × 10−2 m 27. 75 , 4.3 , 5. line k 20 π , 13 4 6. 1 2 28. 5.23 × 107 7. 60 baskets per hour Module Quiz 15: D 8. A No B Yes C Yes D No 1. C 2. C 3. A 4. C 5. B 6. A 7. B 8. C 9. B 10. A 11. C 12. A 13. C 14. 6 15. 10,000; 52,000 9. Time (weeks) 10 15 25 Savings ($) 40 60 100 10. k = 4; y = 4x 11. $15 per h 12. Students’ graphs should show the 4 equation y = − x, passing through 3 (0, 0) and (3, −4). 13. unit rate for Object A is 2.5 m/s; unit rate 2 for Object B is m/s. 3 14. Object C’s unit rate is 1.5 m/s. C is moving faster than B, but slower than A. 15. 50 mi 16. 0.000181 m 16. 4.7 × 103 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 240
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