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Math Help - Writing a number in terms of other numbers.

  1. #1
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    Writing a number in terms of other numbers.

    okay so im trying to figureout how i can get some numbers only using the numbers : 9,7,5,1 you can use any symbols like adding or substracting or square rooting etc but u gotta use each number only once and you gotta use all four of them. the numbers that i am trying to figure out are : 7,30,36,46,54,55,66,71,72,83,84,86,89,92-96,100 i would greatly appreciate if you could help me with this thanks.

    for example:45=7x5+9+1
    or 82= 9^(7-5)+1
    Last edited by mr fantastic; March 15th 2010 at 05:58 PM. Reason: Changed post title
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  2. #2
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    Hello, dmfnsdkjdj!


    I found a few of them . . .


    . . \begin{array}{ccc}<br />
7 &=& 1\cdot(5+9-7) \\ \\<br />
36 &=& \sqrt{9}\cdot(5+7) \div 1 \\ \\<br />
55 &=& 5\cdot(1+7+\sqrt{9}) \\ \\<br />
71 &=& (5-1)^{\sqrt{9}}+7 \end{array}

    . . \begin{array}{ccc}<br />
84 &=& 7\cdot\sqrt{9}\cdot(5-1) \\ \\<br />
91 &=& 7\cdot(9+5-1) \\ \\<br />
96 &=& (1+5)(7+9) \\ \\<br />
100 &=& (1+9)^{(7-5)} <br />
\end{array}

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