MHB Understanding the Floor Function: How to Find ⌊0.785⌋

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The discussion centers on understanding the floor function, specifically how to calculate ⌊0.785⌋. Participants highlight the importance of grasping the definition of the floor function, which is crucial for solving the problem. One user suggests that sharing specific confusions can lead to clearer explanations. Despite this, another user expresses confusion but does not engage with the suggested approach for clarification. The conversation emphasizes the need for clear communication in mathematical problem-solving.
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The problem asks you to find $$\lfloor 0.785\rfloor$$. The definition of $$\lfloor x\rfloor$$ for an arbitrary real $x$ is given in the first paragraph of the problem. If you don't understand that definition, I suggest an exchange. You give a detailed explanation of what you do and don't understand in that sentence. This helps me understand what parts of explanations may not be clear, and helps me hopefully explain things better in the future. In exchange, I describe the confusing parts. (I am not the author of the problem, of course.)
 
This is confusing! Yazan975 thanked Evgeny Makarov for his response but did not answer any of the questions or do any of the things that Evgeny Makarov suggested!
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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