Find the absolute and percent relative uncertainty. Express each answer with a r

Question

Find the absolute and percent relative uncertainty. Express each answer with a reasonable number of significant figures.

I have attached my answers--please double check.

1. 6.2 (+/- 0.2) - 4.1 (+/-0.1) = 2.1 +/- 0.2, percent uncertainty = 11.% (how many sig figs should percent uncertainty be?)

2. 9.43 (+/- 0.05) x 0.016 (+/- 0.001) = 0.15 +/- 0.01

A note on this one: My calculated absolute uncertainty was 0.009, my percent uncertainty was 6%. For this answer, I should only report my answer to TWO sig figs, which ends up going to the second decimal place, but my uncertainty is in the third decimal place. How do I deal with this?

3. 9.43 (+/- 0.05) x [ (6.2 (+/- 0.2) x 10^-3) + (4.1 (+/- 0.1) x 10^-3) ] = 0.097 +/- 0.002

Percent error: 2%

PLEASE double check this last one, I feel very unsure. Thank you!

Explanation / Answer

The answer you got is only 1 significant figure although its in 3rd decimal place.

So the correct answer in TWO significant figures would be

0.0090.

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