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Math Help - Can anyone help me with this one?

  1. #1
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    Can anyone help me with this one?

    How many multiples of 9 are there in the open interval (π^5, π^6)?
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  2. #2
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    Re: Can anyone help me with this one?

    Hello, musngiburger!

    Are you waiting for someone to provide a formula?
    It is just requires a little Thinking.


    How many multiples of 9 are there in the open interval (\pi^5,\,\pi^6)\,?

    Use your calculator: . \begin{Bmatrix}\pi^5 &=& 306.019... \\ \pi^6 &=& 961.389... \end{Bmatrix}

    The interval contains the integers:. \{307, 308, 309\hdots 961\} . . . 655 integers.

    One-ninth of them are multiple of 9: . \left\lfloor \frac{655}{9}\right\rfloor \;=\;72
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