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Math Help - Approximate Each Number...Part A

  1. #1
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    Approximate Each Number...Part A

    The instructions given in the textbook are as follows:

    Approximate each number using a calculator. Express your answer rounded to three decimal places.

    My Question:

    Is there a way to approximate each number below WITHOUT usinga calculator?

    If so, how is this done?

    (1) pi^(e) =

    (2) e^(pi) =
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  2. #2
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    Quote Originally Posted by magentarita View Post
    The instructions given in the textbook are as follows:

    Approximate each number using a calculator. Express your answer rounded to three decimal places.

    My Question:

    Is there a way to approximate each number below WITHOUT usinga calculator?

    If so, how is this done?

    (1) pi^(e) =

    (2) e^(pi) =
    \pi is approximately 3.141592 and e is approximately 2.71828 so [tex]\pi^e= \pi^2 \pi^.718[tex], approximately. .718= 718/1000 and 1000 is close to 1024= 2^10. \pi^e will be approximately 3.14 to the 718 power, then square root 10 times. That won't be very good approximation. You might see if you can find a higher power of 10 that is closer to a power of 2. Of course, that's going to be an awful lot of work!
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    Your Math Work...

    Quote Originally Posted by HallsofIvy View Post
    \pi is approximately 3.141592 and e is approximately 2.71828 so [tex]\pi^e= \pi^2 \pi^.718[tex], approximately. .718= 718/1000 and 1000 is close to 1024= 2^10. \pi^e will be approximately 3.14 to the 718 power, then square root 10 times. That won't be very good approximation. You might see if you can find a higher power of 10 that is closer to a power of 2. Of course, that's going to be an awful lot of work!

    Something is wrong with your math reply when saying "so [tex]\pi^e= \pi^2 \pi^.718[tex], approximately"

    Why is the word math in brackets?
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  4. #4
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by magentarita View Post
    Something is wrong with your math reply when saying "so [tex]\pi^e= \pi^2 \pi^.718[tex], approximately"

    Why is the word math in brackets?
    He/she happened to forget a forward slash in the last bracket. It would have generated the image \pi^e= \pi^2 \pi^{.718}

    --Chris
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    ok....

    Quote Originally Posted by Chris L T521 View Post
    He/she happened to forget a forward slash in the last bracket. It would have generated the image \pi^e= \pi^2 \pi^{.718}

    --Chris
    Thanks for clearing that up for me.
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