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Scientific Notation Scientific Notation – Used to write very large (and very small) numbers. __________________________ x 10 A) Write each number in scientific notation. 1) 3,000,000 = ______________________ 2) 358,000,000 = ____________________ 3) 0.00423 = ________________________ 4) 0.00031 = ________________________ B) Write each number in standard form. 1) 4.7 x 10 5 = _______________________ = _____________________ 2) 7 x 10 8 = _________________________ = _____________________ 3) 2.028 x 10 5 = _____________________ = _____________________ 4) 1.058 x 10 9 = ______________________ = _____________________ C) Comparing Numbers in Scientific Notation First, order the numbers according to their exponents. Then order the numbers with the same exponents by comparing the factors. Which is larger? 2.56 x 10 6 or 5.467 x 10 4 Write each number in standard form. (SW on separate paper) 1) 7.32 x 10 5 2) 9.931 x 10 4 3) 4.55 x 10 1 4) 4.265 x 10 6 5) 7.113 x 10 6 6) 2.0475 x 10 3 7) 2.0198 x 10 7 8) 1.39003 x 10 8 9) 4 x 10 6 Write each number in scientific notation. (SW on separate paper) 10) 6, 700 11) 43,000 12) 52,300,000 13) 0.00004955 14) 0.524 15) 147,000,000 16) 0.00000707 17) 52,300,000 18) 0.034 Answer the following. (SW on separate paper) 19) Which is greater? 6.3 x 10 5 or 7.1 x 10 4 20) Which is less? 4.1 x 10 3 or 3.2 x 10 7 21) The smallest unit of time is the yoctosecond, which equals 0.000000000000000000000001 second. Write this number in scientific notation. 22) A googol is a number written as a 1 followed by 100 zeros. Write a googol in scientific notation. 23) The following table lists five Major League Ballparks. List the ballparks from least capacity to greatest capacity. Stadium H.H.H. Metrodome Network Associates Coliseum The Ballpark in Arlington Wrigley Stadium Yankee Stadium Team Minnesota Twins Oakland Athletics Texas Rangers Chicago Cubs New York Yankees Capacity 4.8 x 10 4 4.7 x 10 4 4.9 x 10 4 3.9 x 10 4 5.5 x 10 4 Scientific Notation Comparing and Ordering Name _______________ A) The number of visitors from various countries to the United States in a recent year are listed in the table. Order the countries according to the number of visitors from greatest to least. International Visitors to the U.S.A. Country Number of Visitors 1.46 x 10 7 1.1 x 10 6 1.8 x 10 6 5.1 x 10 6 1.03 x 10 7 4.7 x 10 6 Canada France Germany Japan Mexico United Kingdom First, order the numbers according to their exponents. Then order the numbers with the same exponents by comparing the factors. B) Name the Great Lake with the second greatest area. Great Lakes Lake Erie Huron Michigan Ontario Superior Area (square miles) 9.91 x 10 3 2.3 x 10 4 2.23 x 10 4 7.32 x 10 3 3.17 x 10 4