I pour the contents of a full bottle of water into four glasses, equal amounts in each. I then take one of the glasses and and divide it in four equal parts. Then one of those parts into four equal parts. Ignoring the practicalities of the division, what's the maximum number of times I can do this and still have at least one molecule in each portion? (Hint: for this and future questions, it's fine to go back to review the preceding lesson. And note that, yes, 4 is twice 2, but it is also 2 squared! So a division by four is like two successive divisions by two.)   a.) Between 0 and 20 b.) Between 20 and 50 c.) Between 50 and 100 d.) More than 100

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2.[#112] Democritus and Ajivika (only look them up if you're interested)

I pour the contents of a full bottle of water into four glasses, equal amounts in each. I then take one of the glasses and and divide it in four equal parts. Then one of those parts into four equal parts. Ignoring the practicalities of the division, what's the maximum number of times I can do this and still have at least one molecule in each portion?

(Hint: for this and future questions, it's fine to go back to review the preceding lesson. And note that, yes, 4 is twice 2, but it is also 2 squared! So a division by four is like two successive divisions by two.)

 

a.) Between 0 and 20

b.) Between 20 and 50

c.) Between 50 and 100

d.) More than 100

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