1-4 Measurement, Uncertainty, Significant Figures (Note: In Problems, assume a number like 6.4 is accurate to i 0.1; and 950 is i- 10 unless 950 is said to be \"precisely\" or "very nearly\" 950, in which case assume 950 i- 1.) 1. (I) How many signicant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, (1') 3236, and (g) 8700? (I) Write the following numbers in powers of 10 notation: (a) 1.156, (b) 21.8, (c) 0.0068, (d) 328.65, (e) 0.219, and (f) 444. (I) Write out the following numbers in full with the correct number of zeros: (a) 8.69 x 104, (b) 9.1 x 103, (c) 8.8 x 10'1, (d) 4.76 x 102, and (e) 3.62 x 10'5. (II) The age of the universe is thought to be about 14 billion years. Assuming two significant figures, write this in powers of 10 in: (a) years (b) seconds (ll) What is the percent uncertainty in the measurement 5.48 i 0.25 m? (II) Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 5, due to human reaction time at the start and stop moments. What is the percent uncertainty of a hand-timed measurement of (a) 5.5 s, (b) 55 s, (c) 5.5 min? (II) Add (9.2 x 103 s) + (8.3 x 104 s) + (0.008 x 106 5). (ll) Multiply 3.079 x 102 m by 0.068 x 10'1 m, taking into account significant figures. (ll) What, approximately, is the percent uncertainty for a measurement given as 1.57 ml