Final answer:
Rounding to the nearest hundredth involves looking at the third decimal place and rounding the second decimal place up if the third is 5 or greater. Calculated values such as 201.867 become 201.87 when rounded.
Step-by-step explanation:
The task is to round a measured or calculated value of x to the nearest hundredth. To do this correctly, we need to consider the rules of significant figures and rounding. When rounding to the nearest hundredth, we look at the thousandth place if available (the third decimal place) to decide whether to round the number in the hundredth place (the second decimal place) up or down.
For example, if we have a calculated value like 201.867, the thousandth place is 7, which is greater than 5. Therefore, we round up, giving us a value of 201.87 when rounded to the nearest hundredth.
Similarly, if we consider the values given in the examples such as (x + 1s) = 11.25 and (x - 2s) = 9.09, it is clear that the second decimal place is already the hundredth position, and there is no need to do any further rounding. However, when calculating with significant figures, it is important to only report as many significant figures as the measurement with the least precision.