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Assignment #1 Due one week from today BEFORE class on Monday Reading (do the Reading prior to Solving the Problems) 1. Read Chapter 1, pages 1 - 8 2. Read the "Toolkit"; read sections on "Significant Figures", "Scientific Notation" and "Unit Analysis" Problems (Problems 1 to 4 after reading the toolkit – and do the problems from the book after reading pages 1 to 8) 1. Significant figures For each of the following numbers, specify how many significant figures there are and which is the least significant figure. Then, rewrite the numbers in scientific notation to the thousandths place. 5,000 345,000 0.0000978 76,567,890 89,000,001 25.00567 sig. figs least sig. fig sci. notation 2. Multiplication and Division and "Significant Figures" Calculate the following using a scientific calculator. Right out the full answer, then rewrite it being mindful of the rules for significant figures! 2.6 x 10 8 333 . x 10 3 + 91 . x 10 7 + 3.0 x 10 -1 − 9.062 x 10 5 7.65 x 10 9 = 2 1.07 x 1012 = 7 x 1013 8.900 x 1010 = 3.400 x 10 -6 7.6 (2.4 x 10 )(1.06 x 10 ) = (1.25 x 10 )(6.4 x 10 ) = (9.33 x 10 )(8.1 x 10 ) = (9.7 x 10 )(9.3 x 10 ) = 7 9 -1 17 -3 3 3 -7 x 10 3 3. Unit Analysis – the light year How many days are in a year? d/y How many hours are in a year? h/y How many minutes are in a year? min/y How many seconds are in a year? s/y One lightyear is the distance light travels in one year. Light travels at a speed of 3.00 x 108m/s. Using your answer from above, calculate how many meters are there in a lightyear? m/ly How many miles are there in a lightyear? mi/ly 4. Unit Analysis – degrees and arcseconds How many degrees are there in one circle? ____________________ What fraction of a circle is subtended by one degree? ____________________ How many arc minutes are there in one circle? ____________________ What fraction of a circle is subtended by one arc minute? ____________________ How many arc second are there in one circle? ____________________ What fraction of a circle is subtended by one arc second? ____________________ What fraction of the entire sky is occupied by 1 square arc second? ____________________ 5. Short Answers – attach to this assignment From Seeds, page 8, Review questions 2, 5, 6, 10 6. Short Answers – attach to this assignment From Seeds, page 8, Problem 2