Rounding, bounds and percentage error Problem set B Answers

1. (a) 2.72
2. (b) 0.0047
3. (c) 72 400
4. (d) 50.0

1. (a) 0.0507%
2. (b) 4.17%

1. (a) \(6.65 \le x < 6.75\)
2. (b) \(335 \le x < 345\)
3. (c) \(0.575 \le x < 0.585\)
4. (d) \(7950 \le x < 8050\)

(a) \(12.65 \times 7.45 = 94.2425\) m² (b) \(2(12.55 + 7.35) = 39.8\) m

\(\dfrac{595}{58.75} = 10.1\) m/s (smallest distance, largest time)

6.98%

Area between 210.25 and 240.25; used 225. Errors 7.02% and 6.35%, so the maximum is 7.02%.