Understanding Scientific Notation: Powers of Ten, Study notes of Physics

Download Understanding Scientific Notation: Powers of Ten and more Study notes Physics in PDF only on Docsity! 1 Reminder 1: scientific notation is a shortcut way of writing very large or very small numbers based upon “powers of ten”. “Big” numbers: 100 = 1 101 = 10 102 = 10 x 10 = 100 103 = 10 x 10 x 10 = 1000 106 = 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 Review 1: Scientific Notation (Powers of Ten!) Multiplying: 103 x 102 = 103+2 = 105 = 100,000 = 1000 x 100 Dividing: 106 / 102 = 106 -2 = 104 = 10,000 “Small” numbers: 100 = 1 10-1 = 1/10 = 0.1 10-2 = 1/10 x 1/10 = 1/100 = 0.01 10-3 = 1/10 x 1/10 x 1/10 = 1/1000 = 0.001 10-6 = 1/1,000,000 = 0.000001 Review 1: Scientific Notation (Powers of Ten!) Multiplying: 10-4 x 10-1 = 10-4+-1 = 10-5 = 0.00001 Dividing: 10-3 / 10-5 = 10-3 - (-5) = 102 = 100 Some Examples Put these into scientific notation: a) 38560240 = 3.86 x 107 b) 0.0001467 = 1.47 x 10-4 c) 1200 x 900 = 1.08 x 106 d) 25 / 5000 = 5 x 10-3 e) (6.1x1012) x (2.2x104) = 1.34 x 1017 f) (2.87x10-15) / (1.60x10-19) = 1.79 x 104