When to round significant figures in unit conversions?

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physicsteach
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Having a discussion with a colleague over sig figs and conversions.

Original problem: find perimeter of 12.6 ft by 13.88 ft room and express answer in meters.

16.1 m or 16.2 m?

Question is when to round? After finding perimeter in feet? 53.0 feet to meters = 16.2 meters or at the end? 52.96 feet = 16.1 meters?
 
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I find it's usually best to round at the final answer.
 
daveb said:
I find it's usually best to round at the final answer.
(Emphatically) agree !
 
Keep as many digits throughout your work as you can, then round at the end.