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Introductory Physics Homework Help
How to Write #s w/ Uncertainty: Rules & Examples
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[QUOTE="Steve4Physics, post: 6423858, member: 681522"] Sorry, answer is a bit long. In standard form, principal value is: 1427 = 1.427*10³. Uncertainties are generally rounded to one, or sometimes two, significant figures. It depends on your local practice. Here I’d use two. Matching the principal value's power of 10, the uncertainty (150) is expressed as: 0.15*10³. The initial combined result is (1.427±0.15)x10³. Now round the precision ([B]not[/B] the signficant figures) of the principal value to match the precision of the uncertainty. This gives the final answer of: (1.43±0.15)x10³. You also could write this as 1430±150. Of course you can do all that in one step. ___________ If you are required to round uncertainty to one significant figure, the answer would be; (1.4±0.2)x10³ This could also be written as 1400±200. ___________ If the principal value is 154.3464 and the uncertainty is 0.003, then 154.346±0.003 is correct. You could also write it as (1.54346±0.00003)x10² but that’s rather clumsy. And don’t forget units! [/QUOTE]
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How to Write #s w/ Uncertainty: Rules & Examples
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