Click Name LESSON Here Date Class Practice B 3-5 Scientific Notation Write each number in scientific notation. 1. 16,700 2. 4,680 3. 320,500 4. 7,590,000 5. 58,340,000 6. 108,690,000 Write each number in standard form. 7. 3.25 • 104 10. 6.8 • 108 8. 7.08 • 106 9. 1.209 • 107 11. 0.51 • 105 12. 0.006 • 103 Identify the answer choice that is not equal to the given number. 13. 356,000 A 300,000 ! 56,000 B 3.56 • 105 C 3.56 • 104 14. 1.28 • 106 A 100,000 ! 28,000 B 1,280,000 C 12.8 • 105 15. 1,659,000 A 1,600,000 ! 59,000 B 1.659 • 106 C 16.59 • 106 16. 0.074 • 103 A 70.0 ! 4.0 B 7.4 • 105 C 7.4 • 101 17. In 2000, the population of Pennsylvania was 12,281,054. Round this figure to the nearest hundred thousand. Then write that number in scientific notation. 18. In 2000, the population of North Carolina was about 8.05 • 106, and the population of South Carolina was about 4.01 • 106. Write the combined populations of these two states in standard form. Copyright © by Holt, Rinehart and Winston. All rights reserved. 49 Holt Middle School Math Course 1 Practice A 3-5 Scientific Notation Exploration Recording Sheet 3-5 Scientific Notation LESSON CHAPTER Circle the letter of the correct answer. You can use exponents to represent powers of 10. 101 ! 10 102 ! 10 " 10 ! 100 103 ! 10 " 10 " 10 ! 1,000 104 ! 10 " 10 " 10 " 10 ! 10,000 1. Which of the following shows 85,000 written in scientific notation? A 8.5 • 103 B 8.5 • 104 ! C 8.5 • 105 D 8.5 • 106 Find each product. 1. 6.2 " 101 2. 6.2 " 102 62.5 3. 6.2 " 103 625 4. 6.2 " 104 6,250 62,500 Fill in the blanks to make each equation true. 3. 1,200 ! 1.2 • 10 In scientific notation, numbers are written as the product of a power of 10 and a number starting with the ones place. Number Scientific Notation 6,250 6.25 " 103 62.50 6.25 " 101 625 6.25 " 102 1 2 340 4 Possible answer: Write as a number between 1 and 10 and a power of 10. 10. Explain how you know that 6.25 " 106 ! 6,250,000. Holt Middle School Math Course 1 Practice B 3-5 Scientific Notation 1. 6,389,000 5. 4.8 billion 3.569 • 109 6. 152 million 4.8 • 109 1.52 • 108 Write each number in standard form. Write each number in standard form. 8. 7.08 • 106 7. 1.5089 • 104 9. 1.209 • 107 7,080,000 12. 0.006 • 10 51,000 13. 356,000 A 300,000 # 56,000 B 3.56 • 105 C 3.56 • 104 ! 14. 1.28 • 106 A 100,000 # 28,000 ! B 1,280,000 C 12.8 • 105 13. 250 km ! 15. 1,659,000 A 1,600,000 # 59,000 B 1.659 • 106 C 16.59 • 106 ! 16. 0.074 • 103 A 70.0 # 4.0 B 7.4 • 105 ! C 7.4 • 101 17. 0.73 m ! 17. In 2000, the population of Pennsylvania was 12,281,054. Round this figure to the nearest hundred thousand. Then write that number in scientific notation. 18. In 2000, the population of North Carolina was about 8.05 • 106, and the population of South Carolina was about 4.01 • 106. Write the combined populations of these two states in standard form. 12,300,000; 1.23 • 10 15. 89 L ! Copyright © by Holt, Rinehart and Winston. All rights reserved. 2,840 Holt Middle School Math Course 1 2.5 • 105 8.69 4 8.9 • 10 14. 0.065 kg ! m 16. 1,540 km ! mL 2 7.3 • 10 18. 10,240 kg ! mm 6.5 • 101 g 8 1.54 • 10 cm 7 1.024 • 10 g 20. On average, about 1.1 • 109 passengers use the New York City subway system each year. About 1,170,000,000 passengers use the Paris subway each year. How many passengers use those two subways each year? 19. In a recent count, 147,171,000 people in the United States owned cars. In the same year, 4.268 • 107 people in Japan owned cars. In which country did more people own cars? How many more? the United States; 2,270,000,000 passengers 104,491,000 more people 12,060,000 49 17,711,000 12. 0.0869 • 102 Write each measurement using scientific notation. Identify the answer choice that is not equal to the given number. 7 11. 0.284 • 104 3,960,400 6 9. 1.7711 • 107 251,600,000 10. 3.9604 • 106 3 11. 0.51 • 10 8. 2.516 • 108 15,089 12,090,000 5 680,000,000 7.508 • 106 1.052 • 10 4. 3,569,000,000 1.0869 • 108 3. 7,508,000 8 6.389 • 10 6. 108,690,000 5.834 • 107 10. 6.8 • 10 Holt Middle School Math Course 1 2. 105,200,000 6 3.205 • 10 5. 58,340,000 8 130,000 pounds 48 Copyright © by Holt, Rinehart and Winston. All rights reserved. 5 4.68 • 10 32,500 16. Blue whales are the largest marine mammals. The average blue whale weighs 1.3 • 105 pounds. Write this weight in standard form. Write each number in scientific notation. 3. 320,500 3 7. 3.25 • 104 1,280,000 Practice C 3-5 Scientific Notation 2. 4,680 7.59 • 106 960,000 LESSON Write each number in scientific notation. 4. 7,590,000 1,750 14. 1.28 • 106 1.1 • 104 pounds LESSON Copyright © by Holt, Rinehart and Winston. All rights reserved. 79,000 15. African elephants are the largest land mammals. The average African elephant weighs 11,000 pounds. Write this weight in scientific notation. If you move the decimal 6 places to the right you get 6,250,000. 1.67 • 10 11. 1.75 • 103 13. 9.6 • 105 124,000 4 8.9 10. 7.9 • 104 12. 1.24 • 105 9. Describe the process for writing numbers in scientific notation. 1. 16,700 • 106 8. 8,900,000 ! 6.58 9. 3.4 • 102 Think and Discuss 47 2 • 103 7. 6,580 ! Write each number in standard form. 8. 42,500 ! 4.25 " 10 Copyright © by Holt, Rinehart and Winston. All rights reserved. 5. 580 ! 5.8 • 10 4 • 105 4.7 6. 425 ! 4.25 " 10 3 7. 4,250 ! 4.25 " 10 4. 25,000 ! 2.5 • 10 3 6. 470,000 ! Write each number in scientific notation by filling in the exponent for the power of 10. 5. 42.5 ! 4.25 " 10 2. Which of the following shows 3.67 • 105 written in standard form? F 3,670 G 36,700 H 367,000 ! J 3,670,000 Copyright © by Holt, Rinehart and Winston. All rights reserved. 121 50 Holt Middle School Math Course 1 Holt Middle School Math Course 1