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Boring Significant Figures question

8 replies

Faez · 29/10/2019 23:17

Just finishing coursework and found out that some coursemates have rounded some initial answers to 2 d.p. rather than 3 s.f. which obviously affects the final results. What would be appropriate here for NADH conc. mg/ml? Thanks in advance

Boring Significant Figures question
OP posts:
Faez · 29/10/2019 23:19

I'm thinking 2 d.p. as that's what we start with

OP posts:
ErrolTheDragon · 30/10/2019 00:07

If these are intermediate values you shouldn't round them (or at least, not excessively), that propagates errors. Just look at the first two values - 2 dp would be .02, .03, when actually the second concentration is twice the first.

Always round to the appropriate number of significant figures at the end.

Faez · 30/10/2019 00:15

Ah yes of course, that would be totally inappropriate. I've always had it in my mind that if you have a significant figure before the decimal round to 2 d.p. and if not then 3 sig figures, must've been taught that at some point. The original value was 0.01666666667 so in the following calculations should I use that or the rounded figure? Years since I've done maths... And thank you

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Faez · 30/10/2019 00:17

Sorry didn't read properly. I have to round to show a value in the table but if I do that do I have to continue using the rounded number or should I use the original

OP posts:
PickAChew · 30/10/2019 00:20

Always plug the original back into your next calculation. The rounded figure is for display, only

Faez · 30/10/2019 00:24

Brilliant thank you both

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ErrolTheDragon · 30/10/2019 00:26

Yes, what pickachew said.

Always think in terms of significant figures rather than decimal places when doing scientific calculations. If you've been doing multiplications/divisions, the final results shouldn't be quoted to any more sig figs than the least accurate of the input measurements.

Faez · 30/10/2019 00:33

Yep that all makes sense, thanks again Smile

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