Name LESSON Date Class Practice B 4-4 Scientific Notation Write each number in standard notation. 1. 2.54 102 2. 6.7 102 3. 1.14 103 4. 3.8 101 5. 7.53 103 6. 5.6 104 7. 9.1 105 8. 6.08 104 9. 8.59 105 11. 7.21 103 10. 3.331 106 12. 5.88 104 Write each number in scientific notation. 13. 75,000,000 14. 208 15. 907,100 16. 56 17. 0.093 18. 0.00006 19. 0.00852 20. 0.0505 21. 0.003007 22. 5226 23. 0.04 24. 98,856 25. Jupiter is about 778,120,000 kilometers from the Sun. Write this number in scientific notation. 26. The E. coli bacterium is about 5 107 meters wide. A hair is about 1.7 105 meters wide. Which is wider, the bacterium or the hair? Copyright © by Holt, Rinehart and Winston. All rights reserved. 28 Holt Mathematics Practice B 4-4 Scientific Notation Practice A 4-4 Scientific Notation LESSON LESSON Write each number in standard notation. Write each number in standard notation. 1. 1.76 101 3. 6.2 102 2. 8.9 103 0.176 8,900 5. 5.8 104 0.062 58,000 9. 5.0 103 810,000 0.00038 10. 3.12 105 11. 7.6 102 5000 312,000 254 101 7. 3.8 104 6. 8.1 105 5. 7.53 103 8. 2.03 103 16. 1006 17. 29 19. 0.0107 20. 0.0002008 22. 250,800 3 2.008 104 23. 0.000094 22. 5226 4 9.4 10 2.508 10 20. 0.0505 8.52 103 24. 0.00086 5 5 21. 0.003007 5.05 102 3.007 103 23. 0.04 24. 98,856 2 3 9.8856 104 4.0 10 5.226 10 8.6 10 6.0 105 9.3 10 19. 0.00852 5.3 104 18. 0.00006 2 5.6 10 21. 0.00053 9.071 105 17. 0.093 1 6.1 10 15. 907,100 2.08 10 16. 56 18. 0.0061 2.9 10 1.07 102 0.000588 2 7.5 10 6.5 10 1 1.006 10 0.000608 12. 5.88 104 0.00721 14. 208 7 2 9.58 10 3 910,000 11. 7.21 103 3,331,000 13. 75,000,000 15. 650 6 3.76 10 0.38 8. 6.08 104 Write each number in scientific notation. 14. 9,580,000 5 1140 7. 9.1 105 10. 3.331 106 859,000 0.0000854 Write each number in scientific notation. 13. 376,000 0.067 56,000 9. 8.59 105 4. 3.8 101 3. 1.14 103 6. 5.6 104 0.00753 0.00203 12. 8.54 105 0.076 2. 6.7 102 1. 2.54 102 4. 1.01 102 25. Jupiter is about 778,120,000 kilometers from the Sun. Write this number in scientific notation. 25. Earth is about 93,000,000 miles from the Sun. Write this number in scientific notation. 7.7812 108 9.3 107 4 26. The diameter of Earth is about 1.276 10 kilometers. The diameter of Venus is about 1.21 104 kilometers. Which planet has the greater diameter, Earth or Venus? 26. The E. coli bacterium is about 5 107 meters wide. A hair is about 1.7 105 meters wide. Which is wider, the bacterium or the hair? Earth the hair 27 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Mathematics LESSON Write each number in standard notation. Standard Notation 2. 7.1 105 634,000 5. 6.0089 108 0.0000008235 8. 8.394 107 7. 2.0547 109 2,054,700,000 4,230,000 430,000 0.0000057 6. 5.2 109 0.000000060089 9. 9.688 1011 11. 0.000000000067 8 4.3 10 5.7 106 positive integer for large number negative integer for small number 13. 0.000000084 14. 652,100,000,000 8.4 108 Move the decimal point right or left? How many places? 16. 20,509,000,000,000 13 2.0509 10 5.28 109 17. 0.000000000000066 800,000 3.05 1013 19. The volume of the earth is approximately 260,000,000,000 mi . Write this number in scientific notation. 314,000,000 6. 32,000,000 2.6 10 mi From its location in the first factor, which way must the decimal move to its location in the given number? How many places? 20. If light travels 10,000 km in 3.3 102 sec, how long will it take light to travel one meter? 3.3 109 sec 21. The diameter of a human hair can measure from 1.7 105 meter to 1.8 10–4 meter. Which is the greater diameter? 3.2 10 9. 0.0000000643 7 4.1 10 Copyright © by Holt, Rinehart and Winston. All rights reserved. left 8 7 7.12 108 Write each number in scientific notation. 8. 41,000,000 Holt Mathematics 7.12 right 7 Write the number in scientific notation. 1.8 10–4 29 7. 0.0000000712 3.2 What is the first factor? 3 Copyright © by Holt, Rinehart and Winston. All rights reserved. 5. 3.14 108 0.00071 Complete to write each in scientific notation. 3 11 left 5 0.000034 To convert to scientific notation, determine the factor between 1 and 10. Then determine the power of 10 by counting from the decimal point in the first factor to the decimal point in the given number. 18. 30,500,000,000,000 6.6 10 right 6 4,120,000 4. 7.1 104 3. 8 105 7.254 1010 14 negative Write each number in standard notation. 15. 0.0000000007254 6.521 1011 positive Is the exponent positive or negative? 12. 5,280,000,000 6.7 1011 2. 3.4 105 1. 4.12 106 968,800,000,000 Write the number in standard notation. 9.7406 1010 ) 2nd factor is an integer power of 10. Complete to write each in standard notation. Write each number in scientific notation. 10. 97,406,000,000 )( 1st factor is between 1 and 10. To convert from scientific notation, look at the power of 10 to tell how many places and which way to move the decimal point. 5,200,000,000 0.0000008394 Scientific Notation ( 3. 4.23 106 0.000071 4. 8.235 107 Holt Mathematics Reteach 4-4 Scientific Notation Practice C 4-4 Scientific Notation LESSON 1. 6.34 105 28 Copyright © by Holt, Rinehart and Winston. All rights reserved. Copyright © by Holt, Rinehart and Winston. All rights reserved. 74 10. 1,370,000,000 8 6.43 10 30 1.37 109 Holt Mathematics Holt Mathematics
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