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The answer is not as simple as that. You have to know the accuracy of the measurements or values that are supplied to use. Also, the accuracy requirements of the calculation matter.

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If calculations were made to determine the pitch of a roof, then measurements and requirements might not dictate 3 place precision. While accuracy in carpentry is important, one or two digits are about the limit of most woodworking measurement tools.

However, if we were trying to calculate the launch trajectory of a space craft to its destination, we would use ten (10) or more significant figures and we would insist on similar accuracy in the measured distances and values used, if not better. Ten significant digits might not be accurate enough. That would depend on how far away the target is.

No one wants to miss Mars after traveling that far! Especially those who made the trip.

Q: When doing Trigonometry do you round the answer to three significant figures?

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The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

1100 to 3 significant figures is 1.10e3

2808 into 3 significant figures is 2810

0.004560 to two significant figures results in: 0.0046

0.000039 as you have to round it up. 3 and 8 are the significant figures but as you must round up, the answer becomes 0.000039.

Related questions

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

17.9867 to 3 significant figures is 18.0

1100 to 3 significant figures is 1.10e3

2808 into 3 significant figures is 2810

0.0000004799 into 3 significant figures is 4.80e-7

88930371.007 to 2 significant figures is 89000000

0.0034088 in three significant figures would be 0.00341

8468 rounded to 2 significant figures is 8500

0.004560 to two significant figures results in: 0.0046

0.036 The significant figures are indicated by the square brackets 0.0[35550], so we round this part of the figure.

0.000039 as you have to round it up. 3 and 8 are the significant figures but as you must round up, the answer becomes 0.000039.

The number 10.989 rounded to 3 significant figures is 11.0