Can someone please provide a good explanation to this? The error of a recorded result is no more than 0.02. If one result is recorded as 59.65, rewrite this giving your answer correct to as many significant figures as are completely trustworthy.

Question

Can someone please provide a good explanation to this? The error of  a recorded result is no more than 0.02. If one result is recorded as 59.65, rewrite this giving your answer correct to as many significant figures as are completely trustworthy.

mertsj · Answer

$$59.65\pm.02$$

anonymous · Answer

@Mertsj : Thankyou. But to how many significant figures should I write my answer?

mertsj · Answer

4

mertsj · Answer

The measurement has 4 significant digits so the answer should have 4 significant digits.

anonymous · Answer

But it says write your answer to as many significant figures 'as are completely trustworthy'. What does this mean?