HON 225 Graded Homework (50 points) Measurements and Unit Conversions Carefully read the handout on Significant Figures and Units/Conversion of Units, then complete the following. I. SIGNIFICANT FIGURES 1. State the number of significant figures in the following values: a. 39.44 m ____________ b. 95° ____________ c. 1.008 g ____________ d. 0.0005 in ____________ e. 1.55 x 108 ____________ 2. Calculate the problems and give final answers to the proper number of significant figures, expressed using scientific notation. a. 2.5 x 7 ____________ b. 6.354/0.52 ____________ c. (4.2 x 108)/(2.17 x 104) ____________ d. (5.85 x 103) + (4.001 x 105) ____________ e. (4 x 107) x (3 x 106) ____________ II. ROUNDING OFF Round the following numbers to the indicated precision ("place" means significant digit): a. 5653, three places ____________ b. 0.7921, one place ____________ c. 5.57, two places ____________ d. 850, one place ____________ III. SCIENTIFIC NOTATION 1. Put the following values in scientific notation. Assume zeros preceding the decimal point are not significant. a. 300,000 ____________ b. 465,000,000 ____________ c. 0.0005 ____________ d. 0.00716 ____________ e. 293 ____________2 2. Convert the following values (already in scientific notation) to normal form: a. 2.19 x 104 ____________ b. 6.8 x 103 ____________ c. 3 x 10-6 ____________ IV. CONVERSIONS (Show your work) 1. Convert 3 x 108 km/s to km/year. 2. The planet Pluto has a mean distance from the sun of 39 AU. Convert this to km (1 AU = 1.55 x 108 km). For the following two problems, assume zeros preceding decimal points are not significant. 3. Find the ratio of the distance of the Moon from the Earth to the Moon’s diameter (Moon's average distance = 384,400 km, Moon's diameter = 3476 km). 4. The Earth is nearly 8000 mi in diameter. Jupiter is much larger, having a diameter of 144,800 km. Since 1 mi = 1.61 km, how many times larger is Jupiter’s diameter than Earth’s? V. MEASUREMENTS What is wrong with the following measurements? a. 0.935 x 106 m ____________________________________________________________ b. 5.75