2. Susanimassand her height as 1. 42 m using a messuring tape marked in centimetres. a) Write Susan's height as.measured value i meas rement uncertainty. (2) (b) What is the sange of possible values of her ectual height? (2)

**(a) Write Susan's height as a measured value ± measurement uncertainty.**<br /><br />Since the measuring tape is marked in centimeters, the smallest division is 1 cm. When making a measurement, we can reasonably assume we can determine the measurement to within half of the smallest division. Therefore, the uncertainty is ±0.5 cm, or ±0.005 m.<br /><br />Susan's height is then written as 1.420 m ± 0.005 m. (We add the zero to the hundredths place to be consistent with the uncertainty's precision.)<br /><br /><br />**(b) What is the range of possible values of her actual height?**<br /><br />The range of possible values is found by adding and subtracting the uncertainty from the measured value.<br /><br />Lower bound: 1.420 m - 0.005 m = 1.415 m<br />Upper bound: 1.420 m + 0.005 m = 1.425 m<br /><br />The range of possible values for Susan's actual height is 1.415 m to 1.425 m.<br />