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Name _______________________________________ Date __________________ Class __________________ MODULE 10 Exponents and Scientific Notation Module Quiz: B 1. Which shows 2.6 104 in standard notation? 8. What is the scientific notation for a length of 0.0000923 centimeter? A 264 C 26,000 A 9.23 106 cm C 92.3 105 cm B 2,600 D 26,104 B 9.23 105 cm D 923 105 cm 9. Simplify the expression (7 2)2 (6 2)3. 2. The population of a large U.S. city is 1,703,210. Which of the following best expresses this population? A 1.7 106 C 1.703 106 B 1.7 107 D 17.03 106 A 25 C 41 B 64 D 89 10. A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation? 3. Find the value of 63. A 216 C 1 216 A 11 106 meter B 63 D 1 36 C 1.1 103 meter B 1.1 104 meter D 11 103 meter 4. When changing 67,430,000 to scientific notation, how many places is the decimal point moved? 11. A distance of 6.5 108 is multiplied by 10. The result is written in scientific notation. What is the new exponent? A 4 C 7 B A 80 C 7 D 8 B 8 D 6 5. Let x be the first factor in an expression in scientific notation. Which describes this factor? A 0x1 C 1 x 10 B 0x1 D 1 x 10 12. A square garden has an area of 1,600 square feet. How long is each side of the garden? 6. What is the standard notation for a distance of 9.302 1010 miles? A 16 feet C 80 feet B 40 feet D 160 feet 13. Which of these is most likely to describe the number of yards lost in a football game? A 9,302,000,000 miles B 9,302,107,000 miles A rational number C 93,020,000,000 miles B whole number D 93,200,000,000 miles C real number 7. A number between 0 and 1 is written in scientific notation. Which of these describes the exponent? D integer A fraction B whole number C positive integer D negative integer Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 51 Name _______________________________________ Date __________________ Class __________________ MODULE 10 Exponents and Scientific Notation 14. Why is this number not in scientific notation? For 23–26, use the table. 36.5 106 Size (meters) _______________________________________ 15. Write 3.65 105 in standard notation. _______________________________________ 16. What power of ten makes this statement true? 78,000,000,000 7.8 ____ water molecule 3.2 1010 typical virus 7.5 108 small transistor 1.6 105 grain of salt 1.6 104 large ant 2.5 102 height of Mount Everest 8.9 103 diameter of moon 3.5 106 diameter of sun 1.4 109 _______________________________________ 17. Write your answer in scientific notation. 23. How many zeros are needed to write the diameter of the sun in standard notation? (6.4 10 ) (5.2 10 ) 3 4 ________________________________________ _______________________________________ 24. Write the diameter of the transistor in standard notation. 18. Round this population figure to two nonzero digits. Then write it in scientific notation. ________________________________________ 186,453,000 people _______________________________________ 25. How many digits are there in the standard notation for the height of Mount Everest? 19. Change a length of 0.00000843 meter to scientific notation. ________________________________________ 26. An object is 100 times greater than the grain of sand. Describe the size of this object in scientific notation. _______________________________________ 20. Write a diameter of 7.024 105 centimeter in standard notation. ________________________________________ _______________________________________ 27. Arrange the numbers in order from greatest to least. 21. Write a decimal between 0.0006 and 0.0007. Then write the number in scientific notation. 4.3 , 4 , 75 , 20 13 ________________________________________ _______________________________________ 28. Write your answer in scientific notation. 22. A small organism with a length of 7.5 106 meter tripled in size. Write the new length in standard notation. (5.1 107) (1.3 106) ________________________________________ _______________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 52 Name _______________________________________ Date __________________ Class __________________ 12. Module Quiz 9: D 4 7 1. B 13. 12 2. B 14. 0.1 3. C 15. 0.57 4. C 16. 100 5. B 6. A MODULE 9 Real Numbers 7. A Module Quiz 9: B 8. A 1. C 9. B 2. D 10. B 3. B 4. A 11. A 5. C 13. repeating 6. D 14. 12.31 7. D 8. C 15. 0.583 9. D 17. 12, 12 12. C 16. 1515 10. A 18. between 6 and 7 11. B 12. A 19. 9 20. irrational number 13. terminating; the denominator is a power of 2 21. 10, 12, 14, 16, 18, 20; so it is not irrational. 14. 2.0625 22. area of circle, volume of sphere, surface area of sphere 15. 0.36 23. area of triangle, perimeter of square, volume of sphere, surface area of sphere 24. Distances and lengths are always nonnegative numbers. 25. 10 or 11 16. 6 17. 3 3 , 2 2 18. between 9.3 and 9.4 19. 15.81 26. 3 20. rational number, real number 21. 322, 323, 324 18, 325; 324 is a rational number 320, 321, MODULE 10 Exponents and Scientific Notation 22. area of triangle, volume of sphere 23. volume of sphere, surface area of sphere Module Quiz 10: B 1. C 24. negative numbers 2. C 25. 5 26. 4, 16 4, 3. D 4. C 4 150, 11 9 5. D 6. C Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 53 Name _______________________________________ Date __________________ Class __________________ 6. C 16. 4.7 103 7. D 17. 2.86 103 8. B 18. 8,500,000 9. D 19. 3 10. B 20. 4 11. C 12. B 21. 7 104 13. D 23. 8,900 m 14. The first factor is not less than 10. 24. 0.025 m 25. 1,400,000,000 m 22. 0.014 15. 365,000 16. 1010 26. grain of salt 17. 5.84 10 4 27. 18. 1.9 108 28. 5.19 107 19. 8.43 10 m 6 20. 0.00007024 cm MODULE 11 Proportional Relationships 21. Answers will vary. Sample answer: 0.00065, 6.5 104 Module Quiz 11: B 22. 2.25 105 m 23. 8 1. C 2. C 3. A 24. 0.000016 m 25. 4 4. D 26. 1.6 102 m 27. 75 , 4.3, 30 5. B 6. C 20 , 13 4 7. D 28. 5.23 107 8. B Module Quiz 10: D 9. 1. C 2. C 3. A 4. C 5. B 6. A 7. B 8. B 9. B 10. A 11. C 12. A 13. C 14. 6 15. 10,000; 52,000 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 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 54