Rounding, bounds and percentage error Problem set A Answers

1. (a) 3.14
2. (b) 0.0061
3. (c) 45 700
4. (d) 20.0

1. (a) 0.0402%
2. (b) 1.90%

1. (a) \(8.35 \le x < 8.45\)
2. (b) \(245 \le x < 255\)
3. (c) \(0.365 \le x < 0.375\)
4. (d) \(5950 \le x < 6050\)

(a) \(9.35 \times 4.75 = 44.4125\) cm² (b) \(2(9.25 + 4.65) = 27.8\) cm

\(\dfrac{195}{24.65} = 7.91\) m/s (smallest distance, largest time)

5.66%

Area between 132.25 and 156.25; used 144. Errors 8.88% and 7.84%, so the maximum is 8.88%.