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OB: Scientific Notation for fun and personal enjoyment. You must start with a calculator in hand. Do the math in the proper order and you’ll always be right! Homework tonight, #4, Scientific Notation. Express the following as Scientific Notation:

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## OB: Scientific Notation for fun and personal enjoyment

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**OB: Scientific Notation for fun and personal enjoyment**You must start with a calculator in hand. Do the math in the proper order and you’ll always be right! Homework tonight, #4, Scientific Notation**Express the following as Scientific Notation:**17,000,000,000 ants _________________________ 6,374,000 meters _________________________ 0.034 gram _________________________ 0.000 000 000 154 meters (the radius of a carbon atom _________________________ 0.000 008 m (the diameter of a human hair) _________________________**Express the following as Scientific Notation:**17,000,000,000 ants 1.7 x 1010 ants 6,374,000 meters 6.374 x 106 m 0.034 gram 3.4 x 10-2 g 0.000 000 000 154 meters (the radius of a carbon atom 1.54 x 10-10 m 0.000 008 m (the diameter of a human hair) 8 x 10-6 m**Chem scientific notation rule: the coefficient shall always**be more than one, less than ten For example, THESE ARE ALL EQUAL, BUT… 60,500 = 605 x 102 60,500 = 60.5 x 103 60,500 = 6.05 x 104 60,500 = 0.605 x 105 But in our class only the red answer is acceptable.**Problem 1**Convert 36.8 kilograms into ounces, answer to be given in scientific notation. (hints: 454 g = 1 pound = 16 ounces) (1kg = 1000 grams) Round to correct SF.**Problem 1**Convert 36.8 kilograms into ounces, answer to be given in scientific notation. (hints: 454 g = 1 pound = 16 ounces) 36.8 kg1 1000 g1 kg 1 p454 g 16 oz1 p 588 800454 x x x = = 1296.9163 oz 1.30 x 103 oz**Problem 2**Convert 300. seconds into years, answer as scientific notation (hint: your answer will be a small fraction of years, your exponent must be negative)**Problem 2**Convert 300. seconds into years, answer as scientific notation (hint: your answer will be a small fraction of years, your exponent must be negative) 300. sec1 1 min60 sec 1 HR60 min 1 day24 HR 1 year365 day x x 30.031536000 x x = = 0.00000950 years = 9.50 x 10-6 years**Multiplication rules for scientific notation**Multiply coefficients, add powers of ten, adjust coefficient if necessary. (teapot) (3 x 105)(2 x 102) = 5.0 x 104 X 3.0 x 102**Multiplication rules for scientific notation**Multiply coefficients, add powers of ten, adjust coefficient if necessary. (teapot) (3 x 105)(2 x 102) = 6 x 107 5.0 x 104 X 3.0 x 102 15.0 x 106 1.50 x 107 1.5 x 107 with 2 SF**Division Rules for Scientific Notation**Divide coefficients, subtract powers of ten, adjust coefficients (teapot) if necessary. 3.0 x 104 2.0 x 102 = 9.0 x 105 3.0 x 103 =**Division Rules for Scientific Notation**Divide coefficients, subtract powers of ten, adjust coefficients (teapot) if necessary. 3.0 x 104 2.0 x 102 3.0 2.0 = = 1.5 x 102 X 10(4-2) 9.0 x 105 3.0 x 103 9.0 3.0 = X 10(5-3) = 3.0 x 102**Addition and Subtraction rules:**Adjust scientific notation so both terms have the SAME POWERS OF TEN, add or subtract coefficients, then adjust answer if necessary (teapot) 6.2 x 108 + 1.5 x 106 6.5 x 107 + 2.2 x 107**Addition and Subtraction rules:**Adjust scientific notation so both terms have the SAME POWERS OF TEN, add or subtract coefficients, then adjust answer if necessary (teapot) 6.2 x 108 + 1.5 x 106 6.5 x 107 + 2.2 x 1078.7 x 107 6.2 x 108 + 0.015 x 108 6.215 x 108 6.2 x 108**Addition and Subtraction rules:**Adjust scientific notation so both terms have the SAME POWERS OF TEN, add or subtract coefficients, then adjust answer if necessary (teapot) 7.1 x 105 - 1.6 x 104 8.5 x 103 - 2.4 x 103**Addition and Subtraction rules:**Adjust scientific notation so both terms have the SAME POWERS OF TEN, add or subtract coefficients, then adjust answer if necessary (teapot) 7.1 x 105 - 1.6 x 104 8.5 x 103 - 2.4 x 1036.1 x 103 7.1 x 105 - 0.16 x 1056.94 x 105 6.9 x 105**8.72 x 1011**+ 1.72 x 1010 4.65 x 1014 - 2.25 x 1015**8.72 x 1011**+ 1.72 x 1010 8.72 x 1011 + 0.172 x 1011 8.892 x 1011 8.89 x 1011 4.65 x 1014 - 2.25 x 1015 0.465 x 1015 • 2.25 x 1015 • 1.785 x 1015 • 1.79 x 1015**6.02 x 1023**x 1.50 x 102 (9.05 x 1019) ÷ (3.2 x 1016 ) =**6.02 x 1023**x 1.50 x 102 9.03 x 1025 (9.05 x 1019) ÷ (3.2 x 1016 ) = 2.8 x 103 2 SF!

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