How can I properly use significant figures in scientific experiments?

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Understanding significant figures is crucial for accurate scientific measurements. The accuracy of the chosen mass, such as 200g, determines how many significant figures it has; if it's accurate to +/- 5g, it would be expressed as 2.0 x 10^2g. Converting to kilograms is straightforward once the significant figures are established, resulting in 0.2kg for one significant figure. If the mass is labeled as "200g," it may not be perfect, as real-world measurements always have some uncertainty. To ensure accuracy, it's recommended to verify the mass's precision using a reliable balance.
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Hello,

I am having trouble with significant figuress in experiments! Thanks for any help you provide!

I have an experiment where I pick the mass, and I chose 200g. So if I want to convert this to mks units i would do the following:

200g x (1kg/1000g) = 0.2kg

Is this calculation correct/valid? Then my mass will have one sig fig because of the 200g value.

Thanks
 
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You need start by knowing how accurate the 200g is. If it's accurate to within +/- .005g then it's 200.00g; if it's only accurate to the nearest 5g then it's 2.0 102g. Once you have that right, expressing in kg is easy.
 
That's what i don't get...I picked a 200g mass and used it

How do I known how many significant digits if it was not a given value?

I used a 200g metal mass that was labeled "200g". Isn't this number perfect?
 
Nothing in the macroscopic real world is exact. The set of masses should come with some statement regarding their accuracy. If not, weigh it on the most accurate balance you have and use the known accuracy of the balance.
 
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