Final answer:
To round to one decimal place, inspect the second decimal place and adjust the first decimal place accordingly, increasing it by one if the second decimal place is 5 or greater. For addition and subtraction, match the least precise number's decimal places. In multiplication and division, match the smallest amount of significant figures. Do not round intermediate steps in multi-step problems.
Step-by-step explanation:
Understanding Rounding to One Decimal Place
To round to one decimal place, you look at the second decimal place (the hundredths place). If this digit is 5 or greater, you add one to the first decimal place (the tenths place), and drop the rest of the digits. If it's less than 5, you leave the tenths place as it is and drop the rest. Here's how to apply this in different mathematical operations:
In addition and subtraction, round the result to the same number of decimal places as the number with the least number of decimal places in the original numbers. For example, if you have 13.2 + 12.252, the least number of decimal places is one (13.2), so you round the result to one decimal place, making it 25.5.
In multiplication and division, the result should have the same number of significant figures as the number with the fewest significant figures. For instance, if you multiply 1.35 (three significant figures) by 2.1 (two significant figures), you would round the answer 2.835 to 2.8, which has two significant figures.
Do not round intermediate answers during a calculation with multiple steps. Only the final result should be rounded according to the rules for rounding.
Additionally, you should analyze the data with one more decimal place than was present in your original data to maintain accuracy, especially when your data is measured in significant figures. In practice, you would use a calculator to compute 201.867 and then round to two decimal places as the original data is in tenths; hence, the answer is 201.87.