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Math Help - Question

  1. #1
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    Question

    Determine the number of digits in the expansion of (2^120)(5^125) without using a calculator or computer.


    and

    a) Given the function f(x) = x^3 = 2x , sketch y=f(|x|).

    b) Sketch g(x) = |x^2 - 1| - |x^2 - 4|

    c) Sketch the region in the plane to show all points (x,y) such that |x| + |y| < or equal to 2.

    Thanx guys
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by ballaholic8 View Post
    Determine the number of digits in the expansion of (2^120)(5^125) without using a calculator or computer.


    ...
    Split the product into:

    (2^{120})(5^{125}) = (2^{120})(5^{120})(5^5)= 10^{120} \cdot 3125

    Now you can easily dtermine the number of digits. (I've got 124)
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