Sig Figs: Calculating Answers to 1 & 2

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    Significant figures
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When adding or multiplying numbers with significant figures, the result should reflect the precision of the least precise measurement. For the expression 208998 + 4.7 x 10^5, the answer should be rounded to three significant figures, resulting in 471000. In the multiplication of (0.0000328) and (45.9 x 10^8), the result should be rounded to two significant figures, yielding 1.5 x 10^3. Understanding how to apply these rules is crucial for accurate scientific calculations. Proper application of significant figures ensures clarity and precision in mathematical results.
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Homework Statement



how many significant figures are there if a scientific notation is added or multiplied to a whole number, let's say


1.) 208998 + 4.7 x 10^5 =??
2.) (0.0000328) (45.9 x 10^8) =??

Homework Equations





The Attempt at a Solution


I've been thinking since last night... please help...
 
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chemic_23 said:
thank you very much! :smile:

Thank Google.

Cheers.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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