8.4 Scientific Notation Homework Any Questions? Scientific Notation is a way to write a decimal (very large or small) using the powers of 10 to replace the multiple zeros. Decimal Power of 10 Name 1, 000, 000 106 one million 1, 000 103 one thousand 1 100 one .001 10-3 one thousandth 10-6 one millionth .000001 Scientific Notation is written in the following form: c x 10n c = decimal number greater than 1 but less than 10 n = exponent for the power of 10 Example 1: From Scientific Notation to Standard Form a. 3.67 x 104 b. 4.103 x 10-5 Answers: a. 36, 700 b. .00004103 Example 2: From Standard Form to Scientific Notation a. 24, 500 b. .000722 Answers: a. 2.45 x 104 b. 7.22 x 10-4 Stand UP! When I say go… Pat your knees then touch your ear with your left hand and your chin with your right. Pat your knees again and touch your ear with your right hand and your chin with your right… keep alternating. 5 Example 3: Operations w/Scientific Notation Multiplying (1.4 x 104) (7.6 x 103) = (1.4 · 7.6) x (104 · 103) = 10.64 x 107 Final answer: 1.064 x 108 Dividing 1.2 x 10-1 = 4.8 x 10-4 1.2 x 10-1 4.8 = 10-4 .25 x 103 Final answer: 2.5 x 102 Practice Rewrite the scientific notation in decimal form Student of the Day Practice Rewrite the decimal in scientific notation in Optical Illusion of the Day http://www.michaelbach.de/ot/mot_Roget/index .html 10 Practice Evaluate the expression without a calculator. Write the answer in scientific notation. Practice Write the number in scientific notation • Earth to Pluto As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles. Homework Pg. 422 #9-39 odds