What is the difference between "Give your answer correct to two decimal places." and "Round your answers to two decimal places." ?? Are they the same thing or do the answers differ?

They are both the same.

"Give your answer correct to two decimal places." and "Round your answers to two decimal places." may have different implications, depending on the context.

When you are asked to give your answer correct to two decimal places, it means that you need to provide an answer that is precise up to two decimal places, without any rounding. This implies that you should carry out calculations with more decimal places than two, and then truncate or drop the extra decimal places to provide the final answer. For example, if you are asked to give an answer correct to two decimal places for a division problem, you would calculate the division and then drop any decimal places beyond the second.

On the other hand, when you are asked to round your answers to two decimal places, it means that after completing the necessary calculations, you should use rounding rules to provide the final answer. In this case, you would take the result of your calculation and round it to the nearest hundredth. For example, if the calculated value is 3.456, rounding to two decimal places would give you 3.46.

The answers you get from these two instructions may differ, especially when you have calculated a value with more decimal places. Giving the correct answer to two decimal places is more precise, as it doesn't involve rounding, which may introduce slight inaccuracies. Rounding, on the other hand, is a method of simplifying the answer to a more manageable or standard form.