Help with conversion answer final answer, SIG FIGS

convert 108ft to m

okay, so the final correct answer is 32.9 meters. my question is how do you determine its 32.9 and not 32.918.

How do you know how many significant figures to keep? would 108 determine 3 sig figs?

That depends on how many digits you are given to use to convert 108ft to meters.

To determine how many SIG FIGS you end with in a multiplication or division problem, you merely have to match the lowest number of sig figs in any of your numbers that you used to calculate.

For example, if you multiplied 13 by 1095, your answer would have two sig figs because your number with the LEAST amount of sig figs only has two.

I'm assuming you were given at least three sig figs to convert with when going from ft to meters. So to answer your question, yes. 108 WOULD determine three sig figs because it only has three sig figs. You cannot measure more digits than what you have been given.

It depends on the problem...

For ordinary (conversational)purposes, I'd say 32.9 it's just over a centimetre out

If I was measuring I'd go for 32.92 - just over 2 millimetres out

and if I were being a bit pedantic and 'absolute', I go for 32.9184

You're right. 108 is expressed with 3 significant figures, so the answer should be expressed with three significant figures.