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Warm Up

Warm Up. Simplify. January 27, 2010. 8-2 Scientific Notation. Objective: Express numbers in scientific notation and standard notation. Find products and quotients of numbers expressed in scientific notation. Answers to Homework. 14. 3; 4 24. 32. 16. -5 18. 26. 20. c 28. 22.

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Warm Up

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  1. Warm Up Simplify.

  2. January 27, 2010 8-2 Scientific Notation Objective: Express numbers in scientific notation and standard notation. Find products and quotients of numbers expressed in scientific notation.

  3. Answers to Homework. 14. 3; 4 24. 32. 16. -5 18. 26. 20. c 28. 22. 30.

  4. When dealing with very large and small numbers, we use scientific notation.

  5. A number is expressed in scientific notation when it is written as a product of a factor and a power of 10. The factor must be greater than or equal to 1 and less than 10.A number in scientific notation is written as , where and n is an integer.

  6. Steps in writing in standard form:1. Determine whether n is positive or negative.2. If n is positive, move the decimal point to the right n places. If n is negative, move the decimal point to the left n places. 3. Add zeros, decimal point, and/or commas as needed.

  7. Examples: • Write in standard form. • 7.48 x 10-3 • 2. 2.19 x 105

  8. 1.45 x 10-2 • 6.983 x 107

  9. 10^2 - Hundred 10^3 - Thousand 10^6 - Million 10^9 - Billion 10^12 - Trillion 10^15 - Quadrillion 10^18 - Quintillion 10^21 - Sextillion 10^24 - Septillion 10^27 - Octillion 10^30 - Nonillion 10^100 - Googol

  10. Little Known Facts: 1. The number of grains of sand on the beach at Coney Island is about 10^20. 2. A googol is 10^100. The number of raindrops that has fallen on New York City in a century is much less than a googol. 3. The number of snow crystals needed to form the Ice Age was probably around 10^30 4. If the entire universe was filled with protons and electrons, the total number would be like 10^110. 5. Assuming that you could count to 200 in one minute, that you deside to count for 12 hours a day at this rate, and that you don't have anything better to do, it would take you 19,024 years, 68 days, 10 hours, and 40 minutes to count to 1 billion (10^9).

  11. Situations giving Rise to Scientific Notation Numerals. SituationScientific Notation X-Ray frequencies 1 x 10^16 (vibrations/second) Bottles of Champagne consumed by the 1.245 x 10^8 French yearly Number of toothbrushes purchased by 2.8 x 10^8 Americans yearly Number of candles it would take to reproduce 3.01 x 10^27 Sunlight

  12. Grains of sand on Miami Beach 1.7 x 10^14 Weight (in tons) of all the water on Earth 1.97 x 10^18 Number of people in the world who speak 6.5 x 10^8 Mandarin Length of a Hemoglobin molecule 6.8 x 10^-6 The mass of the hydrogen atom (in grams) 1.66 x 10^-24 Number of ways to arrange 52 ordinary 8.066 x 10^67 playing cards

  13. Steps in writing in Scientific Notation:1. Move the decimal so that it is to the right of the first nonzero digit.2. Make note of how many places n and the direction you moved the decimal.3. If moved to the left, write with positive exponent. If moved to the right, write with negative exponent.

  14. Write in scientific notation.1. 0.000000672 2. 3,022,000,000,000

  15. 3. 0.003482 • 4. 4, 592,039

  16. Scientific Notation on the calculator:2nd then comma (EE) USE PARENTHESES ALWAYS!!!

  17. Examples: Simplify. • 2(7 x 10-6) • 2. 0.2(6.4 x 104)

  18. Classwork – Workbook page 98 # 2-44 even, #46-51 Homework - page 403 8-30 even

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