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Name ________________________________________ Date __________________ Class __________________ MODULE 15 Exponents and Scientific Notation Module Quiz: B 1. Write 2.6 × 104 in standard notation. 8. What is the scientific notation for a length of 0.0000923 centimeter? ________________________________________ 2. The population of a large U.S. city is 1,703,210. Write this population in scientific notation. ________________________________________ 4. When changing 67,430,000 to scientific notation, how many places is the decimal point moved? 11. A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent? ________________________________________ ________________________________________ 5. Let x be the first factor in an expression in scientific notation. Describe the possible values of x. 12. A square garden has an area of 1,600 square feet. How long is each side of the garden? ________________________________________ ________________________________________ 6. Write the standard notation for a distance of 9.302 × 1010 miles. 13. The following term could describe the number of yards gained or lost in a football game. Choose True or False for each term. ________________________________________ 7. A number between 0 and 1 is written in scientific notation. The following term describes the exponent. Choose True or False for each term. B whole number True False C positive integer True False D negative integer True False D 923 × 10−5 cm 10. A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation? ________________________________________ False B 9.23 × 10−5 cm ________________________________________ 3. Find the value of (−6)3. True C 92.3 × 10−5 cm 9. Simplify the expression (7 − 2)2 + (6 − 2)3. ________________________________________ A integer A 9.23 × 10−6 cm A rational number True False B whole number True False C real number True False D integer True False Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 71 Name ________________________________________ Date __________________ Class __________________ MODULE 15 Exponents and Scientific Notation Module Quiz: B 14. Why is this number not in scientific notation? For 23–26, use the table. 36.5 × 106 Size (meters) ________________________________________ 5 15. Write 3.65 × 10 in standard notation. ________________________________________ 16. What power of ten makes this statement true? 78,000,000,000 = 7.8 × ____ 17. Write your answer in scientific notation. (6.4 × 103) + (5.2 × 104) water molecule 3.2 × 10−10 typical virus 7.5 × 10−8 small transistor 1.6 × 10−5 grain of salt 1.6 × 10−4 large ant 2.5 × 10−2 height of Mount Everest 8.9 × 103 diameter of moon 3.5 × 106 diameter of sun 1.4 × 109 23. How many zeros are needed to write the diameter of the sun in standard notation? ________________________________________ ________________________________________ 18. Round this population figure to two nonzero digits. Then write it in scientific notation. 24. Write the diameter of the transistor in standard 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 salt. Describe the size of this object in scientific notation. −5 20. Write a diameter of 7.024 × 10 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 , ________________________________________ π 4 , 75 , 20 13 ________________________________________ 22. A small organism with a length of 7.5 × 10−6 meter tripled in size. Write the new length in standard notation. 28. Write your answer in scientific 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. 72 Module Quiz 14: D 14. 12 1. B 15. $96 16. 1 or 0.1 10 2. B 17. 4 7 4. C 3. C 5. B 18. 100 6. A 7. A MODULE 14 Real Numbers 8. A 9. B Module Quiz 14: B 1. 2.5 10. B 2. A Yes B No 11. A 3. A No B Yes 12. C 4. − 13. repeating 3 2 14. 12.31 5. 35 yards 15. 0.583 6. 5.9 16. 1515 7. 1, −1, 17, or −17 17. 12, −12 8. A Yes B No C Yes D No 18. between 6 and 7 9. A True B False C True D True 19. 9 10. A 20. irrational number 11. A Yes B Yes C No D No 21. 10, 12. terminating; the denominator is a power of 2 16 = 4, so it is not irrational. 22. area of circle, volume of sphere, surface area of sphere 13. 2.0625 14. 0.36 23. area of triangle, perimeter of square, volume of sphere, surface area of sphere 15. 6 16. 12, 14, 16, 18, 20; 3 3 ,− 2 2 24. Distances and lengths are always nonnegative numbers. 17. between 9.3 and 9.4 25. 10 or 11 18. 15.81 26. 3π 19. rational number, real number 20. 325; MODULE 15 Exponents and Scientific Notation 322, 323, 324 = 18, 320, 321, 324 is a rational number Module Quiz 15: B 21. area of triangle, volume of sphere 22. volume of sphere, surface area of sphere 1. 26,000 23. negative numbers 2. 1.70321 × 106 24. 5 3. −216 25. 4π, 150, 11 4. 7 4 9 5. 1 ≤ x < 10 6. 93,020,000,000 mi Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 239 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