Identify Calculations & Prefix Notation

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The discussion centers on confusion regarding prefix notation and identifying valid calculations in a homework problem. The poster expresses difficulty in understanding the requirements despite extensive research. They seek guidance on how to approach the questions, particularly regarding the addition of units like kg and m². The first part of the problem involves marking calculations that are invalid and performing those that yield valid results. In the second part, the focus is on using prefix notation to simplify calculations by eliminating powers of 10.
Meezus
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Homework Statement


https://i.imgur.com/U8muIJS.jpg[/B]

U8muIJS.png


Homework Equations


Not aware of any equations required.

The Attempt at a Solution


For these questions I don't understand what I'm suppose to even. I have researched the terms prefix notation and Identifying calculations but after hours of researching I'm so lost. I know its says that is not acceptable but I truly do not know how to answer this question. If anyone could even just point me in the correct direction I be very grateful.

I believe the prefix notation has something to do with powers of 3.
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Well, can you add units of kg and m2 together and wind up with an intelligible result?

All Part 1 of the Problem is asking you to do is mark which calculations cannot be performed, and to perform those calculations which have a valid result.

In Part 2, use prefix notation to eliminate the powers of 10.
 
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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