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Best thing to do is to not round any number before the end of the question, only the final answer. It's not a safe thing to do as you're introducing a discrepancy from the exact answer early in the question which might be multiplied by a large number later in the question and that error will be multiplied as well so your final answer will be too far off.

To answer whether that kind of answer on an exam would be accepted or not depends on the marking scheme. Usually questions involving PI, like the one you had have some error tolerance but don't count on that. In this case - textbook answers clearly show you were too far off and you would lose the mark. Easiest solution - don't round anything until the final answer.

Hope that helps

Marcin

Yes, it does, thank you very much. The answer provided in my book is always correct to 3 significant figures unless specified otherwise so I've been following that as a guide.

Hi,

After a calculation, you get the "exact value" to your calculation.

When you write your answer, you will always write the exact value unless asked to round or give to a certain number of significant figures.

So if you write your answer exactly when it wasn't specified to round it, then you will be correct.

However, in two part questions is where I believe you are getting the wrong answers.

I see many students who take their answer to the first part of a question, and use that rounded value in their calculations for part two of the question.

Never use a rounded value in any of your calculations unless asked to.

For example, For the first part of your question, you got the area of the sector as, say, 10.45.

Now, for part two, when you use the area of the sector, you need to use the 10.45 value, not the rounded 10.5 value in your calculation.

You can then round your part two calculation afterwards if it asks.

I hope that helps.